| Titre : |
100+1 Problems in Advanced Calculus : A Creative Journey through the Fjords of Mathematical Analysis for Beginners |
| Type de document : |
document électronique |
| Auteurs : |
Paolo Toni, ; Pier Domenico Lamberti, ; SpringerLink (Online service)  ; Giacomo Drago, |
| Editeur : |
Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer |
| Année de publication : |
2022 |
| Collection : |
Problem Books in Mathematics, ISSN 0941-3502  |
| Importance : |
XVII, 220 p. 171 illus |
| Présentation : |
online resource |
| ISBN/ISSN/EAN : |
978-3-030-91863-7 |
| Langues : |
Anglais (eng) |
| Tags : |
Functions of real variables Mathematical analysis Real Functions Analysis |
| Résumé : |
This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. In this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l’Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found at the end of each chapter. Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well |
| Note de contenu : |
Summary of basic theory of inequalities -- Sets, sequences, functions -- Limits of functions, continuity -- Differentiation -- Classical theorems of differential calculus -- Monotonicity, concavity, minima, maxima, inflection points -- Graphs of functions -- Integrals |
| Permalink : |
https://genes.bibli.fr/index.php?lvl=notice_display&id=172326 |
100+1 Problems in Advanced Calculus : A Creative Journey through the Fjords of Mathematical Analysis for Beginners [document électronique] / Paolo Toni, ; Pier Domenico Lamberti, ; SpringerLink (Online service) ; Giacomo Drago, . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2022 . - XVII, 220 p. 171 illus : online resource. - ( Problem Books in Mathematics, ISSN 0941-3502) . ISBN : 978-3-030-91863-7 Langues : Anglais ( eng)
| Tags : |
Functions of real variables Mathematical analysis Real Functions Analysis |
| Résumé : |
This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. In this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l’Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found at the end of each chapter. Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well |
| Note de contenu : |
Summary of basic theory of inequalities -- Sets, sequences, functions -- Limits of functions, continuity -- Differentiation -- Classical theorems of differential calculus -- Monotonicity, concavity, minima, maxima, inflection points -- Graphs of functions -- Integrals |
| Permalink : |
https://genes.bibli.fr/index.php?lvl=notice_display&id=172326 |
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