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100+1 Problems in Advanced Calculus = A Creative Journey through the Fjords of Mathematical Analysis for Beginners /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	100+1 Problems in Advanced Calculus/ by Paolo Toni, Pier Domenico Lamberti, Giacomo Drago.
其他題名:	A Creative Journey through the Fjords of Mathematical Analysis for Beginners /
作者:	Toni, Paolo.
其他作者:	Drago, Giacomo.
面頁冊數:	XVII, 220 p. 171 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-91863-7
ISBN:	9783030918637

100+1 Problems in Advanced Calculus = A Creative Journey through the Fjords of Mathematical Analysis for Beginners /
Toni, Paolo.

100+1 Problems in Advanced CalculusA Creative Journey through the Fjords of Mathematical Analysis for Beginners /[electronic resource] :by Paolo Toni, Pier Domenico Lamberti, Giacomo Drago. - 1st ed. 2022. - XVII, 220 p. 171 illus.online resource. - Problem Books in Mathematics,2197-8506. - Problem Books in Mathematics,.

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.

ISBN: 9783030918637

Standard No.: 10.1007/978-3-030-91863-7doiSubjects--Topical Terms:

669490
Analysis.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

100+1 Problems in Advanced Calculus = A Creative Journey through the Fjords of Mathematical Analysis for Beginners /
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