Nouveaux @books Springer du mois

Algebraic geometry and commutative algebra

Tue, 4 Dec 2012 13:52:19 +0100

Algebraic geometry and commutative algebra [document �lectronique] / Siegfried Bosch (1944-....) . - Springer, 2013 . - X-504 p. ; 24 cm. - (Universitext, ISSN 0172-5939) .ISBN : 978-1-447-14828-9Bibliogr. p. 485-486. IndexLangues : Anglais (eng)

Descripteurs :	Alg�bre ; G�om�trie
Tags :	Mathematics Algebra Mathematics Algebraic Geometry Commutative Rings and Algebras Rings and Modules Theory of Noetherian Rings Integral Extensions Extension of Coefficients and Descent Homological Methods Affine Schemes and Basic Constructions Techniques of Global Schemes Etale and Smooth Morphisms Projective Schemes and Proper Morphisms
Index. d�cimale :	132 Algèbre générale
R�sum� :	Algebraic geometry is a fascinating branch of mathematics that combines methods from both algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck?s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry (algebraic number theory, for example). The new techniques paved the way to spectacular progress such as the proof of Fermat?s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts whilst more advanced readers can use the book to broaden their view on the subject. A separate part studies the necessary prerequisites from commutative algebra. The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. Therefore the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature. [R�sum� de l'�diteur]
Note de contenu :	Voir résumé et/ou sommaire détaillé en ligne sur le site de l�éditeur
En ligne :	http://www.springer.com/mathematics/algebra/book/978-1-4471-4828-9
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An information theoretic approach to econometrics

Tue, 30 Apr 2013 11:00:09 +0100

Accompagne An information theoretic approach to econometrics / George G. Judge / Cambridge (GBR) ; West Nyack, N.Y. : CUP. Cambridge University Press (2011)An information theoretic approach to econometrics [document �lectronique] / George G. Judge ; Ron C. Mittelhammer . - Cambridge (GBR) ; West Nyack, N.Y. : CUP. Cambridge University Press, 2011 . - 250 p. : ill., tabl. ; 23 cm.ISBN : 978-1-13-921438-4Notes bibliogr.Langues : Anglais (eng)

Descripteurs :	Econom�trie ; Mod�le �conom�trique
Index. d�cimale :	28 Econométrie - Modélisation
R�sum� :	This book is intended to provide the reader with a firm conceptual and empirical understanding of basic information-theoretic econometric models and methods. Because most data are observational, practitioners work with indirect noisy observations and ill-posed econometric models in the form of stochastic inverse problems. Consequently, traditional econometric methods in many cases are not applicable for answering many of the quantitative questions that analysts wish to ask. After initial chapters deal with parametric and semiparametric linear probability models, the focus turns to solving nonparametric stochastic inverse problems. In succeeding chapters, a family of power divergence measure-likelihood functions are introduced for a range of traditional and nontraditional econometric-model problems. Finally, within either an empirical maximum likelihood or loss context, Ron C. Mittelhammer and George G. Judge suggest a basis for choosing a member of the divergence family. [R�sum� de l'�diteur]
Note de contenu :	Voir résumé et/ou sommaire détaillé en ligne sur le site de l�éditeur.
En ligne :	http://www.cambridge.org/fr/knowledge/isbn/item6522279/?site_locale=fr_FR
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An introduction to model-based survey sampling with applications

Mon, 3 Dec 2012 10:54:52 +0100

Accompagne An introduction to model-based survey sampling with applications / Raymond L. Chambers / Oxford (GBR) ; New York ; Paris : OUP. Oxford University Press (2012)An introduction to model-based survey sampling with applications [document �lectronique] / Raymond L. Chambers ; Robert G. Clark . - OUP. Oxford University Press, 2012 . - VI-p. 265 : graph., ill.. - (Oxford statistical science series, ISSN 0952-9942; 37) .ISBN : 978-0-19-162789-7Index.Langues : Anglais (eng)

Descripteurs :	Echantillonnage ; Sondages (Th�orie)
Tags :	Sample survey
Index. d�cimale :	29 Sondage - Méthodologie d'enquête
R�sum� :	This text brings together important ideas on the model-based approach to sample survey, which has been developed over the last twenty years. It's an excellent exposition on model-based survey sampling from leading researchers and an ideal overview for graduate students in statistics, sciences, and social sciences and also suitable for professional statisticians. It moves from basic ideas fundamental to sampling to more rigorous mathematical modelling and data analysis and includes exercises and solutions. [D'apr�s le r�sum� de l'�diteur]
Note de contenu :	Voir résumé et/ou sommaire détaillé en ligne sur le site de l�éditeur.
En ligne :	http://ukcatalogue.oup.com/product/9780198566625.do
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Applied spatial data analysis with R

Tue, 5 Feb 2013 16:25:16 +0100

Accompagne Applied spatial data analysis with R / Roger S. Bivand / Berlin ; Heidelberg (DEU) ; New York : Springer (2008)Applied spatial data analysis with R [document �lectronique] / Roger S. Bivand ; SpringerLink (Online service) ; Edzer J. Pebesma ; Virgilio G�mez-Rubio . - Springer, 2008 . - : digital. - (Use R!) .ISBN : 978-0-387-78171-6Langues : Anglais (eng)

Descripteurs :	Econom�trie ; Logiciel statistique ; Sant� ; Sant� publique ; Statistique math�matique
Tags :	Spatial analysis (Statistics) Data processing R (Computer program language) Medicine Public Health Epidemiology Ecology Environmental Monitoring Environmental Analysis Quantitative Geology and EconometricsPrograms Ordinary Differential Equations Partial Differential Equations Computational Mathematics and Numerical Analysis Simulation and Modeling
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Colloquium De Giorgi 2009

Wed, 13 Feb 2013 15:12:38 +0100

Colloquium De Giorgi 2009 [document �lectronique] / Zannier, Umberto ; SpringerLink (Online service) . - Edizioni della Normale : Pise (ITA) (Palazzo della Carovana) : Edizioni della Normale, 2012 . - 64p : digital. - (Publications of the Scuola Normale Superiore. Colloquia; 3) .ISBN : 978-88-7642-387-1Langues : Anglais (eng)

Tags :	Mathematics Mathematics Mathematics, general
R�sum� :	Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series�of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate students and advanced undergraduate students. The lectures are intended to be not too technical, in fields of wide interest. They must provide an overview of the general topic,�possibly in a historical perspective, together with a description of more recent progress. The idea of collecting the materials from these lectures and publishing them in annual volumes came out recently, as a recognition of their intrinsic mathematical interest, and also with the aim of preserving memory of these events.� ?
Note de contenu :	Contributions by several authors such as Michael G. Cowling -- Joseph A. Wolf -- Gisbert Wüstholz and David Mumford
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Composite Asymptotic Expansions

Wed, 13 Feb 2013 15:38:30 +0100

Composite Asymptotic Expansions [document �lectronique] / Fruchard, Augustin ; Sch�fke, Reinhard ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - X, 161 p. 21 illus : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2066) .ISBN : 978-3-642-34035-2Langues : Anglais (eng)

Tags :	Mathematics Differential Equations Sequences (Mathematics) Mathematics Approximations and Expansions Ordinary Differential Equations Sequences, Series, Summability
R�sum� :	The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O?Malley resonance problem is solved
Note de contenu :	Four Introductory Examples -- Composite Asymptotic Expansions: General Study -- Composite Asymptotic Expansions: Gevrey Theory -- A Theorem of Ramis-Sibuya Type -- Composite Expansions and Singularly Perturbed Differential Equations -- Applications -- Historical Remarks -- References -- Index
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Computational Fluid Dynamics Based on the Unified Coordinates

Wed, 13 Feb 2013 15:09:25 +0100

Computational Fluid Dynamics Based on the Unified Coordinates [document �lectronique] / Hui, Wai-How ; Xu, Kun ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York : Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - IX, 189 p : digital.ISBN : 978-3-642-25896-1Langues : Anglais (eng)

Tags :	Mathematics Electronic data processing Computer science Mathematics Mathematics Computational Mathematics and Numerical Analysis Numerical and Computational Physics Numeric Computing Theoretical, Mathematical and Computational Physics Fluid- and Aerodynamics
R�sum� :	"Computational Fluid Dynamics Based on the Unified Coordinates" reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving mesh methods in Computational Fluid Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers and practitioners in the field of Computational Fluid Dynamics. Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the Hong Kong University of Science & Technology, China.
Note de contenu :	<p>Derivation of Conservation Law Equations -- Review of Eulerian Computation for One-dimensional Flow -- One-Dimensional Flow Computation Using the Unified Coordinates -- Comments on Current Methods for Multi-Dimensional Flow Computation -- The Unified Coordinates Formulation of CFD -- Properties of the Unified Coordinates -- Lagrangian Gas Dynamics -- Steady 2-D and 3-D Supersonic Flow -- Unsteady 2-D and 3-D Flow Computation -- Viscous Flow Computation -- Applications of the Unified Coordinates to Kinetic Theory.</p>
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Dalla geometria di Euclide alla geometria dell?Universo

Wed, 13 Feb 2013 15:12:36 +0100

Dalla geometria di Euclide alla geometria dell?Universo : Geometria su sfera, cilindro, cono, pseudosfera [document �lectronique] / Arzarello, Ferdinando ; Dan�, Cristiano ; SpringerLink (Online service) ; Lovera, Laura ; Mosca, Miranda ; Nolli, Nicoletta ; Ronco, Antonella . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XI, 198 pagg : digital. - (Convergenze) .ISBN : 978-88-470-2574-5Langues : Italien (ita)

Tags :	Mathematics Geometry Mathematics Geometry
R�sum� :	Il testo confronta con la usuale geometria del piano (euclidea) vari tipi di geometrie che si hanno su superfici note e meno note: geometria sulla sfera, sul cilindro, sul cono e sulla pseudosfera. L'idea di fondo � di giungere alla descrizione "intrinseca" di queste geometrie analizzando che cosa significa l'andare diritto su queste superficie (cio� l'idea di geodetica). Si giunge cos� a vari tipi di geometrie che si discostano da quella euclidea usuale: geometrie localmente euclidee (su cilindro e cono deprivato del vertice), geometria ellittica (sulla sfera), geometria iperbolica (sulla pseudosfera). Si scopre che la chiave di volta concettuale che distingue queste diverse geometrie � la nozione di curvatura gaussiana, rispettivamente nulla su piani, cilindri, coni; (costante) positiva sulla sfera e (costante) negativa sulla pseudosfera. In relazione a queste idee matematiche si sviluppano anche vari temi interdisciplinari: si studiano ad esempio le caratteristiche delle carte geografiche che rappresentano la Terra a partire dal problema di determinare la rotta migliore tra due localit� (porti, aereoporti); si indaga sulla curvatura del nostro universo; si descrivono le leggi geometriche su cui si basa la tecnologia dei GPS. Non si trascurano gli aspetti fondazionali, analizzando quali assiomi della Geometria Euclidea valgano o meno e perch� nelle nuove geometrie
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Data Correcting Approaches in Combinatorial Optimization

Tue, 4 Dec 2012 13:52:55 +0100

Data Correcting Approaches in Combinatorial Optimization [document �lectronique] / Goldengorin, Boris ; Panos M. Pardalos (1954-....) ; SpringerLink (Online service) . - Springer, 2012 . - X, 114 p. 41 illus : digital. - (SpringerBriefs in Optimization, ISSN 2190-8354) .ISBN : 978-1-461-45286-7Langues : Anglais (eng)

Tags :	Mathematics Data structures (Computer science) Computer software Algorithms Mathematical optimization Mathematics Graph Theory Optimization Data Structures Algorithm Analysis and Problem Complexity Algorithms
R�sum� :	?????????????????Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the�well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems.� Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis� as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization� introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find�which element of the corrected instance� one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems.?
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Finsler Geometry

Wed, 13 Feb 2013 15:09:24 +0100

Finsler Geometry : An Approach via Randers Spaces [document �lectronique] / Cheng, Xinyue ; Shen, Zhongmin ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York : Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - Approx. 200 p. 5 illus : digital.ISBN : 978-3-642-24888-7Langues : Anglais (eng)

Tags :	Mathematics Geometry Global differential geometry Mathematical physics Mathematics Differential Geometry Geometry Mathematical Methods in Physics
R�sum� :	"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields.Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA.
Note de contenu :	Randers Spaces -- Randers Metrics and Geodesics -- Randers Metrics of Isotropic S-Curvature -- Riemann Curvature and Ricci Curvature -- Projective Geometry of Randers Spaces -- Randers Metrics with Special Riemann Curvature Properties -- Randers Metrics of Weakly Isotropic Flag Curvature.-Projectively Flat Randers Metrics -- Conformal Geometry of Randers Metrics -- Dually Flat Randers Metrics
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Fractals in Biology and Medicine

Tue, 7 May 2013 10:25:14 +0100

Fractals in Biology and Medicine [document �lectronique] / SpringerLink (Online service) ; Gabriele A. Losa, Editeur scientifique ; Merlini, Danilo, Editeur scientifique ; Theo F. Nonnenmacher, Editeur scientifique ; Ewald R. Weibel, Editeur scientifique . - Birkh�user, 2011 . - : v.: digital. - (Mathematics and Biosciences in Interaction) .ISBN : 978-3-7643-7412-9Langues : Anglais (eng)

Tags :	Mathematics Genetics Mathematical and Computational Biology Genetics and Population Dynamics Applications of Mathematics
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Guts of Surfaces and the Colored Jones Polynomial

Wed, 13 Feb 2013 15:38:29 +0100

Guts of Surfaces and the Colored Jones Polynomial [document �lectronique] / Futer, David ; Kalfagianni, Efstratia ; SpringerLink (Online service) ; Purcell, Jessica . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - X, 170 p. 62 illus., 45 illus. in color : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2069) .ISBN : 978-3-642-33302-6Langues : Anglais (eng)

Tags :	Mathematics Cell aggregation Mathematics Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Hyperbolic Geometry
R�sum� :	This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this surface is from being a fiber for the knot; in particular, the surface is a fiber if and only if a particular coefficient vanishes. We also relate hyperbolic volume to colored Jones polynomials.Our method is to generalize the checkerboard decompositions of alternating knots. Under mild diagrammatic hypotheses, we show that these surfaces are essential, and obtain an ideal polyhedral decomposition of their complement. We use normal surface theory to relate the pieces of the JSJ decomposition of the� complement to the combinatorics of certain surface spines (state graphs). Since state graphs have previously appeared in the study of Jones polynomials, our method bridges the gap between quantum and geometric knot invariants
Note de contenu :	1 Introduction -- 2 Decomposition into 3?balls -- 3 Ideal Polyhedra -- 4 I?bundles and essential product disks -- 5 Guts and fibers -- 6 Recognizing essential product disks -- 7 Diagrams without non-prime arcs -- 8 Montesinos links -- 9 Applications -- 10 Discussion and questions
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Hyperbolicity

Wed, 13 Feb 2013 15:09:06 +0100

Hyperbolicity : Lectures given at the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Cortona (Arezzo), Italy, June 24 ? July 2, 1976 [document �lectronique] / Prato, Giuseppe ; Giuseppe Geymonat ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2011 . - 242p : digital. - (C.I.M.E. Summer Schools; 72) .ISBN : 978-3-642-11105-1Langues : Anglais (eng)

Tags :	Mathematics Differentiable dynamical systems Mathematics Dynamical Systems and Ergodic Theory
R�sum� :	Lectures: J. Chazarain, A. Piriou: Probl�mes mixtes hyperboliques: Premi�re partie: Les probl�mes mixtes hyperboliques v�rifiant 1a condition de Lopatinski uniforme; Deuxi�me partie: Propagation et r�flexion des singularit�s.- L. G�rding: Introduction to hyperbolicity.- T. Kato: Linear and quasi-linear equations of evolution of hyperbolic type.- K.W. Morton: Numerical methods for non-linear hyperbolic equations of mathematical physics.- Seminars: H. Brezis: First-order quasilinear equation on a torus
Note de contenu :	H. Brezis: First-order quasilinear equation on a torus -- J. Chazarain, A. Piriou: Problèmes mixtes hyperboliques: Première partie: Les problèmes mixtes hyperboliques vérifiant 1a condition de Lopatinski uniforme; Deuxième partie: Propagation et réflexion des singularités -- L. Gårding: Introduction to hyperbolicity -- T. Kato: Linear and quasi-linear equations of evolution of hyperbolic type -- K.W. Morton: Numerical methods for non-linear hyperbolic equations of mathematical physics
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Introduction to Stokes Structures

Wed, 13 Feb 2013 15:38:00 +0100

Introduction to Stokes Structures [document �lectronique] / Claude Sabbah (1954-....) ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XIV, 249 p. 14 illus., 1 illus. in color : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2060) .ISBN : 978-3-642-31695-1Langues : Anglais (eng)

Tags :	Mathematics Geometry, algebraic Differential Equations Differential equations, partial Sequences (Mathematics) Mathematics Algebraic Geometry Ordinary Differential Equations Approximations and Expansions Sequences, Series, Summability Several Complex Variables and Analytic Spaces Partial Differential Equations
R�sum� :	This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf.This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed
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L�vy Matters II

Wed, 13 Feb 2013 15:37:58 +0100

L�vy Matters II : Recent Progress in Theory and Applications: Fractional L�vy Fields, and Scale Functions [document �lectronique] / Cohen, Serge ; Kuznetsov, Alexey ; SpringerLink (Online service) ; Andreas E. Kyprianou ; Rivero, Victor . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XII, 186 p. 8 illus., 1 illus. in color : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2061) .ISBN : 978-3-642-31407-0Langues : Anglais (eng)

Tags :	Mathematics Distribution (Probability theory) Mathematics Mathematics, general Probability Theory and Stochastic Processes
R�sum� :	This is the second volume in a subseries of the Lecture Notes in Mathematics called L�vy Matters, which�is published at irregular intervals over the years. Each volume examines a number of key topics in the theory or applications of L�vy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world.�The expository articles in this second volume cover two important topics in the area of L�vy processes. The first article by Serge Cohen reviews the most important findings on fractional L�vy fields to date in a self-contained piece, offering a theoretical introduction as well as possible applications and simulation techniques. The second article, by Alexey Kuznetsov, Andreas E. Kyprianou, and Victor Rivero, presents an up to date account of the theory and application of scale functions for spectrally negative L�vy processes, including an extensive numerical overview.
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Mathematical Modeling and Validation in Physiology

Wed, 13 Feb 2013 15:38:25 +0100

Mathematical Modeling and Validation in Physiology : Applications to the Cardiovascular and Respiratory Systems [document �lectronique] / Batzel, Jerry J ; Bachar, Mostafa ; SpringerLink (Online service) ; Kappel, Franz . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XX, 256 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2064) .ISBN : 978-3-642-32882-4Langues : Anglais (eng)

Tags :	Mathematics Human physiology Biology Data processing Mathematics Mathematical and Computational Biology Human Physiology Computer Appl. in Life Sciences
R�sum� :	This volume synthesizes theoretical and practical aspects of both the mathematical and life science�viewpoints needed for modeling of�the cardiovascular-respiratory system specifically and�physiological systems generally.� Theoretical points include model design,�model complexity and validation in the light of available data, as well as control theory approaches�to feedback delay�and Kalman filter applications to�parameter identification. State of the art approaches using parameter sensitivity are discussed for�enhancing model�identifiability through joint analysis of�model structure and data. Practical examples illustrate�model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling� examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited
Note de contenu :	1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges -- 2 Mathematical Modeling of Physiological Systems -- 3 Parameter Selection Methods in Inverse Problem Formulation.- 4 Application of the Unscented Kalman Filtering to Parameter Estimation -- 5 Integrative and Reductionist Approaches to Modeling of Control of Breathing -- 6 Parameter Identification in a Respiratory Control System Model with Delay -- 7 Experimental Studies of Respiration and Apnea -- 8 Model Validation and Control Issues in the Respiratory System -- 9 Experimental Studies of the Baroreflex -- 10 Development of Patient Specific Cardiovascular Models Predicting Dynamics in Response to Orthostatic Stress Challenges -- 11 Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume
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Modeling of Physiological Flows

Tue, 4 Dec 2012 13:54:34 +0100

Modeling of Physiological Flows [document �lectronique] / Ambrosi, Davide ; Alfio Quarteroni (1952-....) ; SpringerLink (Online service) ; Rozza, Gianluigi . - Springer, 2012 . - X, 415 p : digital. - (MS&A - Modeling, Simulation and Applications; 5) .ISBN : 978-88-470-1935-5Langues : Anglais (eng)

Tags :	Mathematics Human physiology Biology Data processing Differential equations, partial Computer science Mathematics Biomedical engineering Mathematics Computational Mathematics and Numerical Analysis Human Physiology Mathematical Modeling and Industrial Mathematics Computer Appl. in Life Sciences Partial Differential Equations Biomedical Engineering
R�sum� :	This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.
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Modelling and Optimisation of Flows on Networks

Wed, 13 Feb 2013 15:38:22 +0100

Modelling and Optimisation of Flows on Networks : Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle [document �lectronique] / Luigi Ambrosio ; Bressan, Alberto ; SpringerLink (Online service) ; Dirk Helbing ; Klar, Axel ; Zuazua, Enrique . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XIV, 497 p. 141 illus., 32 illus. in color : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2062) .ISBN : 978-3-642-32160-3Langues : Anglais (eng)

Tags :	Mathematics Global analysis (Mathematics) Differential equations, partial Mathematics Partial Differential Equations Mathematical Modeling and Industrial Mathematics Analysis
R�sum� :	In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others.This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks. The book will be a valuable resource for every researcher or student interested in the subject
Note de contenu :	<p>A User?s Guide to Optimal Transport -- Hyperbolic Conservation Laws: an Illustrated Tutorial -- Derivation of Non-Local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models -- On the Controversy around Daganzo?s Requiem for and Aw-Rascle?s Resurrection of Second-Order Traffic Flow Models -- Theoretical vs. Empirical Classification and Prediction of Congested Traffic States -- Self-Organized Network Flows -- Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections -- Modeling and Optimization of Scalar Flows on Networks -- The Wave Equation: Control and Numerics</p>
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Multi-Layer Potentials and Boundary Problems

Wed, 13 Feb 2013 15:38:24 +0100

Multi-Layer Potentials and Boundary Problems : for Higher-Order Elliptic Systems in Lipschitz Domains [document �lectronique] / Mitrea, Irina ; Mitrea, Marius ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - X, 424 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2063) .ISBN : 978-3-642-32666-0Langues : Anglais (eng)

Tags :	Mathematics Fourier analysis Integral equations Differential equations, partial Potential theory (Mathematics) Mathematics Potential Theory Partial Differential Equations Integral Equations Fourier Analysis
R�sum� :	Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calder�n, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach.This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney?Lebesque spaces, Whitney?Besov spaces, Whitney?Sobolev- based Lebesgue spaces, Whitney?Triebel?Lizorkin spaces,Whitney?Sobolev-based Hardy spaces, Whitney?BMO and Whitney?VMO spaces.
Note de contenu :	1 Introduction -- 2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case -- 3 Function spaces of Whitney arrays -- 4 The double multi-layer potential operator -- 5 The single multi-layer potential operator -- 6 Functional analytic properties of multi-layer potentials and boundary value problems
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New Challenges for Cancer Systems Biomedicine

Wed, 13 Feb 2013 15:12:35 +0100

New Challenges for Cancer Systems Biomedicine [document �lectronique] / Alberto d' Onofrio ; Cerrai, Paola ; SpringerLink (Online service) ; Alberto Gandolfi . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XII, 398 p : digital. - (SIMAI Springer Series, ISSN 2280-840X) .ISBN : 978-88-470-2571-4Langues : Anglais (eng)

Tags :	Mathematics Oncology Immunology Differential equations, partial Physiology Mathematics Mathematics Physiological, Cellular and Medical Topics Cancer Research Biophysics and Biological Physics Partial Differential Equations Immunology
R�sum� :	The aim of this book is not only to illustrate the state of the art of tumor systems biomedicine, but also and mainly to explicitly capture the fact that a increasing number of biomedical scientists is now directly working on mathematical modeling, and a larger number are collaborating with bio-mathematical scientists. Moreover, a number of biomathematicians started working in biomedical institutions. The book is characterized by a coherent view of tumor modeling, based on the concept that mathematical modeling is (with medicine and molecular biology) one of the three pillars of molecular medicine. Indeed this volume is characterized by a well-structured presence of a large number of biomedical scientists directly working in Mathematical or Systems Biomedicine, and of a number biomathematicians working in hospitals. This give to this book an unprecedented tone, providing an original interdisciplinary insight into the biomedical applications. Finally, all biomedical contributors were asked to briefly summarize in one section of their contributes their point of view on her/his own interactions with quantitative scientists working in Systems Biomedicine
Note de contenu :	Part I Towards a Comprehensive Theory of Cancer Growth -- Combining Game Theory and Graph Theory to Model Interactions between Cells in the Tumor Microenvironment -- Growth as the Root of all Evil in Carcinomas: Synergy between pH Buffering and Anti-Angiogenesis prevents Emergence of Hallmarks of Cancer -- Phase Transitions in Cancer -- Part II Cancer Related Signalling Pathways -- Spatio-Temporal Modelling of Intracellular Signalling Pathways: Transcription Factors, Negative Feedback Systems and Oscillations -- Understanding Cell Fate Decisions by Identifying Crucial System Dynamics -- Modelling Biochemical Pathways with the Calculus of Looping Sequences -- Dynamic Simulations of Pathways Downstream of TGF<i>?</i>, Wnt and EGF-Family Growth Factors, in Colorectal Cancer, including Mutations and Treatments with Onco-Protein Inhibitors -- Part III Basic Mechanisms of Tumor Progression -- Some Results on the Population Behavior of Cancer Stem Cells -- Glucose Metabolism in Multicellular Spheroids, ATP Production and Effects of Acidity -- Cell-Cell Interactions in Solid Tumors - the Role of Cancer Stem Cells -- Hybrid Cellular Potts Model for Solid Tumor Growth -- Part IV Tumor-Immune System Interplay and Immunotherapy -- Computational Models as Novel Tools for Cancer Vaccines -- On the Dynamics of Tumor-Immune System Interactions and Combined Chemo- and Immunotherapy -- Modeling the Kinetics of the Immune Response -- Part V Computational Method for Improving Chemotherapy.- Optimizing Cancer Chemotherapy: from Mathematical Theories to Clinical Treatment -- A Systems Biomedicine Approach for Chronotherapeutics Optimization: Focus on the Anticancer Drug Irinotecan -- Modeling the Dynamics of HCV Infected Cells to Tailor Antiviral Therapy in Clinical Practice: Can This Approach Fit for Neoplastic Cells? -- Introducing Drug Transport Early in the Design of Hypoxia Selective Anticancer Agents Using a Mathematical Modelling Approach -- <i>Top-Down</i> Multiscale Simulation of Tumor Response to Treatment in the Context of In Silico Oncology. The Notion of <i>Oncosimulator</i> -- Challenges in the Integration of Flow Cytometry and Time-Lapse Live Cell Imaging Data Using a Cell Proliferation Model
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Non solo calcoli

Wed, 13 Feb 2013 15:12:37 +0100

Non solo calcoli : Domande e risposte sui perch� della matematica [document �lectronique] / Villani, Vinicio ; Bernardi, Claudio ; SpringerLink (Online service) ; Zoccante, Sergio ; Porcaro, Roberto . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XII, 296 pagg : digital. - (Convergenze) .ISBN : 978-88-470-2610-0Langues : Italien (ita)

Tags :	Mathematics Global analysis (Mathematics) Logic, Symbolic and mathematical Statistics Mathematics Mathematical Logic and Foundations Analysis Statistics, general Learning & Instruction
R�sum� :	Nell'infanzia si pongono i classici interrogativi con tanti ?perch�??. Purtroppo poi, nel corso dell'educazione matematica, la curiosit� diminuisce e spesso ci si accontenta di chiedere "come si fa?". Questo libro � dedicato ai perch� della logica e teoria degli insiemi, dell'analisi matematica, della probabilit� e statistica. Si completano cos� gli argomenti di matematica insegnati a scuola, dopo i precedenti testi di V. Villani sui perch� dell?algebra e geometria. Il titolo contiene un messaggio. In logica si affronta il calcolo delle proposizioni, l?analisi matematica � nota anche col nome di calcolo, la probabilit� � detta calcolo delle probabilit�. In tutti e tre i casi si potrebbe focalizzare l?attenzione sulla parola calcolo. Ma questo � riduttivo: il calcolo � una componente importante, ma altrettanto importante � la comprensione critica di tutto ci� che sta alla base dei calcoli. Il libro � rivolto a chi insegna matematica e a tutte le persone che hanno conservato una genuina curiosit� scientifica.�
Note de contenu :	Logica e Teoria degli insiemi -- Analisi matematica -- Probabilità e Statistica
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Probabilistic Group Theory, Combinatorics, and Computing

Wed, 13 Feb 2013 15:37:51 +0100

Probabilistic Group Theory, Combinatorics, and Computing : Lectures from the Fifth de Br�n Workshop [document �lectronique] / Detinko, Alla ; Flannery, Dane ; SpringerLink (Online service) ; O'Brien, Eamonn . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XIII, 107 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2070) .ISBN : 978-1-447-14814-2Langues : Anglais (eng)

Tags :	Mathematics Algebra Data processing Group theory Mathematics Group Theory and Generalizations Symbolic and Algebraic Manipulation
R�sum� :	Probabilistic Group Theory, Combinatorics, and Computing is based on lecture courses held at the Fifth de Br�n Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book?s approach and design is to enable postgraduate students to make immediate use of the material presented.
Note de contenu :	Martin W. Liebeck: Probabilistic and asymptotic aspects of finite simple groups -- Alice C. Niemeyer, Cheryl E. Praeger, Ákos Seress: Estimation problems and randomised group algorithms -- Leonard H. Soicher: Designs, groups and computing
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Rational Points and Arithmetic of Fundamental Groups

Wed, 13 Feb 2013 15:37:55 +0100

Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture [document �lectronique] / Stix, Jakob ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XX, 249 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2054) .ISBN : 978-3-642-30674-7Langues : Anglais (eng)

Tags :	Mathematics Geometry, algebraic Number theory Mathematics Algebraic Geometry Number Theory
R�sum� :	The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension
Note de contenu :	Part I Foundations of Sections -- 1 Continuous Non-abelian H<sup>1</sup> with Profinite Coefficients.-2 The Fundamental Groupoid -- 3 Basic Geometric Operations in Terms of Sections -- 4 The Space of Sections as a Topological Space -- 5 Evaluation of Units -- 6 Cycle Classes in Anabelian Geometry -- 7 Injectivity in the Section Conjecture -- Part II Basic Arithmetic of Sections -- 7 Injectivity in the Section Conjecture -- 8 Reduction of Sections -- 9 The Space of Sections in the Arithmetic Case and the Section Conjecture in Covers -- Part III On the Passage from Local to Global -- 10 Local Obstructions at a <i>p</i>-adic Place -- 11 Brauer-Manin and Descent Obstructions -- 12 Fragments of Non-abelian Tate?Poitou Duality -- Part IV Analogues of the Section Conjecture -- 13 On the Section Conjecture for Torsors -- 14 Nilpotent Sections -- 15 Sections over Finite Fields -- 16 On the Section Conjecture over Local Fields -- 17 Fields of Cohomological Dimension 1 -- 18 Cuspidal Sections and Birational Analogues
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Selected Aspects of Fractional Brownian Motion

Wed, 13 Feb 2013 15:12:37 +0100

Selected Aspects of Fractional Brownian Motion [document �lectronique] / Ivan Nourdin ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - X, 122 p : digital. - (B&SS - Bocconi & Springer Series, ISSN 2039-1471) .ISBN : 978-88-470-2823-4Langues : Anglais (eng)

Tags :	Mathematics Finance Distribution (Probability theory) Mathematics Probability Theory and Stochastic Processes Quantitative Finance
R�sum� :	Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium- or long-memory property which is in sharp contrast with martingales and Markov processes. FBm has become a popular choice for applications where classical processes cannot model these non-trivial properties; for instance long memory, which is also known as persistence, is of fundamental importance for financial data and in internet traffic. The mathematical theory of fBm is currently being developed vigorously by a number of stochastic analysts, in various directions, using complementary and sometimes competing tools. This book is concerned with several aspects of fBm, including the stochastic integration with respect to it, the study of its supremum and its appearance as limit of partial sums involving stationary sequences, to name but a few. The book is addressed to researchers and graduate students in probability and mathematical statistics. With very few exceptions (where precise references are given), every stated result is proved
Note de contenu :	1. Preliminaries -- 2. Fractional Brownian motion -- 3. Integration with respect to fractional Brownian motion -- 4. Supremum of the fractional Brownian motion -- 5. Malliavin calculus in a nutshell -- 6. Central limit theorem on the Wiener space -- 7. Weak convergence of partial sums of stationary sequences -- 8. Non-commutative fractional Brownian motion
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Six Short Chapters on Automorphic Forms and L-functions

Wed, 13 Feb 2013 15:09:26 +0100

Six Short Chapters on Automorphic Forms and L-functions [document �lectronique] / Dou, Ze-Li ; Zhang, Qiao ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York : Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XI, 123 p : digital.ISBN : 978-3-642-28708-4Langues : Anglais (eng)

Tags :	Mathematics Geometry, algebraic Number theory Mathematics Number Theory Algebraic Geometry
R�sum� :	"Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.
Note de contenu :	Modular forms and the Shimura-Taniyama Conjecture -- Periods of automorphic forms -- Lifting of automorphic forms -- Zeros of L-functions -- Special Values of L-functions -- Theta lifts and periods with respect to a quadratic extension
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Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Wed, 13 Feb 2013 15:38:27 +0100

Stability and Bifurcation Theory for Non-Autonomous Differential Equations : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera [document �lectronique] / Capietto, Anna ; Kloeden, Peter ; SpringerLink (Online service) ; Jean Mawhin ; Novo, Sylvia ; Ortega, Rafael . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - IX, 306 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2065) .ISBN : 978-3-642-32906-7Langues : Anglais (eng)

Tags :	Mathematics Functional equations Differentiable dynamical systems Differential Equations Mathematics Ordinary Differential Equations Difference and Functional Equations Dynamical Systems and Ergodic Theory
R�sum� :	This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields
Note de contenu :	The Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles
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Statistical Tools for Measuring Agreement

Tue, 4 Dec 2012 13:52:23 +0100

Statistical Tools for Measuring Agreement [document �lectronique] / Lin, Lawrence ; SpringerLink (Online service) ; A. Samad Hedayat ; Wu, Wenting . - Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XVI, 161 p. 32 illus., 4 illus. in color : digital.ISBN : 978-1-461-40562-7Langues : Anglais (eng)

Tags :	Statistics Mathematical statistics Statistics Statistical Theory and Methods
R�sum� :	Agreement assessment techniques are widely used in examining the acceptability of a new or generic process, methodology and/or formulation in areas of lab performance, instrument/assay validation or method comparisons, statistical process control, goodness-of-fit, and individual bioequivalence. Successful applications in these situations require a sound understanding of both the underlying theory and methodological advances in handling real-life problems. This book seeks to effectively blend theory and applications while presenting readers with many practical examples. For instance, in the medical device environment, it is important to know if the newly established lab can reproduce the instrument/assay results from the established but outdating lab.� When there is a disagreement, it is important to differentiate the sources of disagreement.� In addition to agreement coefficients, accuracy and precision coefficients are introduced and utilized to characterize these sources. This book will appeal to a broad range of statisticians, researchers, practitioners and students, in areas of biomedical devices, psychology, medical research, and others, in which agreement assessment are needed. Many practical illustrative examples will be presented throughout the book in a wide variety of situations for continuous and categorical data.
Note de contenu :	Introduction -- Continuous Data -- Categorical Data -- Sample Size and Power -- A Unified Model for Coninutous and Categorical Data -- A Comparative Model for Continuous and Categorical Data -- Workshop
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Stochastic Biomathematical Models

Wed, 13 Feb 2013 15:38:09 +0100

Stochastic Biomathematical Models : with Applications to Neuronal Modeling [document �lectronique] / Bachar, Mostafa ; Batzel, Jerry ; SpringerLink (Online service) ; Ditlevsen, Susanne . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XVI, 206 p. 34 illus., 13 illus. in color : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2058) .ISBN : 978-3-642-32157-3Langues : Anglais (eng)

Tags :	Mathematics Neurobiology Distribution (Probability theory) Statistics Mathematics Probability Theory and Stochastic Processes Mathematical Modeling and Industrial Mathematics Statistics for Life Sciences, Medicine, Health Sciences Neurobiology
R�sum� :	Stochastic biomathematical models are becoming increasingly important as new light is shed on the role of noise in living systems. In certain biological systems, stochastic effects may even enhance a signal, thus providing a biological motivation for the noise observed in living systems. Recent advances in stochastic analysis and increasing computing power facilitate the analysis of more biophysically realistic models, and this book provides researchers in computational neuroscience and stochastic systems with an overview of recent developments. Key concepts are developed in chapters written by experts in their respective fields. Topics include: one-dimensional homogeneous diffusions and their boundary behavior, large deviation theory and itsapplication in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrate-and-fire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression
Note de contenu :	1 Introduction to stochastic models in biology -- 2 One-dimensional homogeneous diffusions -- 3 A brief introduction to large deviations theory -- 4 Some numerical methods for rare events simulation and analysis -- 5 Stochastic Integrate and Fire models: a review on mathematical methods and their applications -- 6 Stochastic partial differential equations in Neurobiology: linear and nonlinear models for spiking neurons -- 7 Deterministic and stochastic FitzHugh-Nagumo systems -- 8 Stochastic modeling of spreading cortical depression
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Stochastic Calculus with Infinitesimals

Wed, 13 Feb 2013 15:38:28 +0100

Stochastic Calculus with Infinitesimals [document �lectronique] / Herzberg, Frederik ; SpringerLink (Online service) . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2013 . - XVIII, 112 p : digital. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2067) .ISBN : 978-3-642-33149-7Langues : Anglais (eng)

Tags :	Mathematics Logic, Symbolic and mathematical Distribution (Probability theory) Mathematics Mathematical Logic and Foundations Probability Theory and Stochastic Processes Game Theory, Economics, Social and Behav. Sciences Mathematical Physics
R�sum� :	Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book
Note de contenu :	1 Infinitesimal calculus, consistently and accessibly -- 2 Radically elementary probability theory -- 3 Radically elementary stochastic integrals -- 4 The radically elementary Girsanov theorem and the diffusion invariance principle -- 5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing -- 6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model -- 7 A radically elementary theory of Itô diffusions and associated partial differential equations -- 8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals -- 9 A radically elementary theory of Lévy processes -- 10 Final remarks
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The Local Structure of Algebraic K-Theory

Wed, 13 Feb 2013 14:59:41 +0100

The Local Structure of Algebraic K-Theory [document �lectronique] / Bjorn Ian Dundas ; Goodwillie, Thomas G ; SpringerLink (Online service) ; McCarthy, Randy . - Springer : Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XV, 435 p. 5 illus : digital. - (Algebra and Applications, ISSN 1572-5553; 18) .ISBN : 978-1-447-14393-2Langues : Anglais (eng)

Tags :	Mathematics Algebra K-theory Algebraic topology Mathematics K-Theory Algebraic Topology Category Theory, Homological Algebra
R�sum� :	Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and B�kstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ?locally constant?. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ?nearby? calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology
Note de contenu :	<p>Algebraic K-theory -- Gamma-spaces and S-algebras -- Reductions -- Topological Hochschild Homology -- The Trace K ? THH -- Topological Cyclic Homology -- The Comparison of K-theory and TC.</p>
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The R book

Wed, 28 Nov 2012 12:03:34 +0100

Accompagne The R book / Michael J. Crawley / Chichester (GBR) ; Hoboken, N.J. : John Wiley & Sons (2012)The R book [document �lectronique] / Michael J. Crawley (1949-....), Auteur . - 2nd ed. . - Chichester (GBR) ; Hoboken, N.J. : John Wiley & Sons, 2012 . - : ill.ISBN : 978-1-11-844890-8Langues : Anglais (eng)

Descripteurs :	Informatique ; Logiciel ; Logiciel statistique ; Mod�lisation ; S�rie temporelle ; Statistique math�matique
Index. d�cimale :	87 Logiciels statistiques
R�sum� :	This edition features full colour text and extensive graphics throughout. The book introduces a clear structure with numbered section headings to help readers locate information more efficiently. It looks at the evolution of R over the past five years and features a new chapter on Bayesian Analysis and Meta-Analysis. It also presents a fully revised and updated bibliography and reference section. I's supported by an accompanying website allowing examples from the text to be run by the user. [D'apr�s le r�sum� de l'�diteur]
Note de contenu :	Voir résumé et/ou sommaire détaillé en ligne sur le site de l�éditeur.
En ligne :	http://eu.wiley.com/WileyCDA/WileyTitle/productCd-0470973927.html
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Transcending Tradition

Tue, 4 Dec 2012 13:53:37 +0100

Transcending Tradition : Jewish Mathematicians in German-Speaking Academic Culture [document �lectronique] / Bergmann, Birgit ; Epple, Moritz ; SpringerLink (Online service) ; Ungar, Ruti . - Berlin ; Heidelberg (DEU) ; New York : Springer, 2012 . - XI, 289 p : digital.ISBN : 978-3-642-22464-5Langues : Anglais (eng)

Tags :	Mathematics Science History History Mathematics History of Mathematical Sciences History History of Science
R�sum� :	A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th� century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and� recalls their emigration, flight or death after 1933
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