Alina Sintamarian,Ovidiu Furdui
Sharpening Mathematical Analysis Skills
Sharpening Mathematical Analysis Skills
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This book is a collection of challenging mathematical analysis problems designed to encourage creativity and lead to open problems. It covers classical topics and includes exercises with supporting theory, structured to help the reader find solutions. It is suitable for undergraduate students in mathematics, physics, and engineering, as well as instructors and anyone interested in exploring mathematical analysis in new ways.
Format: Hardback
Length: 536 pages
Publication date: 26 October 2021
Publisher: Springer Nature Switzerland AG
This book is a remarkable compilation of challenging and valuable problems in mathematical analysis, covering a wide range of classical topics and presenting them with increasing difficulty. The problems are designed to foster creativity and some of them have been specifically crafted to lead to open problems that can inspire students to embark on research. The sets of problems are organized into Part I, with exercises arranged on various topics, often preceded by supporting theory. The content progresses from limits, series of real numbers, and power series to derivatives, their applications, partial derivatives, and implicit functions. Difficult problems are divided into parts to assist the reader in finding solutions. Throughout the text, there are scattered challenges and open problems, inviting readers to discover new and original methods for 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.
This book is highly beneficial for undergraduate students in mathematics, physics, and engineering who aim to enhance their analytical skills. It is also valuable for instructors involved in math contests, individuals who seek to expand and test their knowledge in analysis, and anyone who wants to explore the standard topics of mathematical analysis in unconventional ways. The comprehensive nature of the problems and the diverse range of topics covered make this book an invaluable resource for anyone interested in advancing their understanding of mathematical analysis.
Weight: 1040g
Dimension: 160 x 241 x 35 (mm)
ISBN-13: 9783030771386
Edition number: 1st ed. 2021
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