Sharpening Mathematical Analysis Skills (Problem Books in Mathematics)

S�nt?m?rian, Alina; Furdui, Ovidiu

ISBN 10: 3030771385 ISBN 13: 9783030771386

Edit� par Springer, 2021

Langue: anglais

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D�tails bibliographiques

Titre

Sharpening Mathematical Analysis Skills (Problem Books in Mathematics)

�diteur

Springer

Date de parution

2021

Langue

anglais

ISBN � 10 chiffres

3030771385

ISBN � 13 chiffres

9783030771386

Reliure

Hardcover

�dition

1st Edition

�tat de l'article

Fine

Catalogues du vendeur

Mathematics

A propos de ce titre

Synopsis

This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research.
The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methodsfor proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises.
Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren’t commonly seen in regular textbooks.

� propos de l?auteur

Alina S�ntămărian is a Professor of Mathematics at Technical University of Cluj-Napoca, Romania. She holds a PhD in Mathematics from Babeș-Bolyai University, Cluj-Napoca, Romania. Her research interests focus on non-linear operators, fixed point theory, multivalued operators, mathematical analysis, constants evaluation, asymptotic expansions.
Ovidiu Furdui is an Associate Professor of Mathematics at Technical University of Cluj-Napoca, Romania. He has published more than 500 problems in journals, with a problem column, from all over the world and he is the author of Limits, Series, and Fractional Part Integrals and has co-authored Square Matrices of Order 2, both published by Springer.

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