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Verfasst von:Toni, Paolo [VerfasserIn]   i
 Lamberti, Pier Domenico [VerfasserIn]   i
 Drago, Giacomo [VerfasserIn]   i
Titel:100+1 Problems in Advanced Calculus
Titelzusatz:A Creative Journey through the Fjords of Mathematical Analysis for Beginners
Verf.angabe:by Paolo Toni, Pier Domenico Lamberti, Giacomo Drago
Ausgabe:1st ed. 2022.
Verlagsort:Cham
 Cham
Verlag:Springer International Publishing
 Imprint: Springer
E-Jahr:2022
Jahr:2022.
 2022.
Umfang:1 Online-Ressource(XVII, 220 p. 171 illus.)
Gesamttitel/Reihe:Problem Books in Mathematics
 Springer eBook Collection
ISBN:978-3-030-91863-7
Abstract: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.
 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.
DOI:doi:10.1007/978-3-030-91863-7
URL:Resolving-System: https://doi.org/10.1007/978-3-030-91863-7
 DOI: https://doi.org/10.1007/978-3-030-91863-7
Schlagwörter:(s)Analysis   i
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe: Toni, Paolo: 100+1 problems in advanced calculus. - Cham, Switzerland : Springer, 2022. - xvii, 220 Seiten
RVK-Notation:SK 420   i
Sach-SW:calculus
K10plus-PPN:1795599057
 
 
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