100+1 Problems in Advanced Calculus - A Creative Journey through the Fjords of Mathematical Analysis for Beginners (Hardcover, 1st ed. 2022)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Problem Books in Mathematics
Release date:	April 2022
First published:	2022
Authors:	Paolo Toni • Pier Domenico Lamberti • Giacomo Drago
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	220
Edition:	1st ed. 2022
ISBN-13:	978-3-03-091862-0
Languages:	English
Subtitles:	Italian
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	3-03-091862-9
Barcode:	9783030918620

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