100+1 Problems in Advanced Calculus

100+1 Problems in Advanced Calculus Paolo Toni, Pier Domenico Lamberti, Giacomo Drago
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. Categories:
Mathematics Analysis
Year:
2022
Publisher:
Springer
Language:
english
Pages:
239
ISBN 10:
3030918629
ISBN 13:
9783030918620
File:
71 MB