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100+1 Problems in Advanced Calculus

Name: 100+1 Problems in Advanced Calculus
Brand: Springer International Publishing
SKU: 38447577
Price: 210.43 RON
Availability: InStock
Author: Paolo Toni
ISBN: 9783030918620

A Creative Journey through the Fjords of Mathematical Analysis for Beginners

Paolo Toni

Pier Domenico Lamberti

Giacomo Drago

Limba

engleză

Carte Copertă tare

Codul Libristo: 38447577

Editura Springer International Publishing, ianuarie 2022

This book convenes a collection of carefully selected problems in mathematical analysis, crafted to... Descrierea completă

Codul Libristo: 38447577

97 b

210.43 lei

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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.