Sharpening Mathematical Analysis Skills

Name: Sharpening Mathematical Analysis Skills
Brand: Springer Nature Switzerland AG
SKU: 9783030771386
Price: 378.0 RON
Availability: InStock

Autor: Alina Sintamarian, Ovidiu Furdui

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Editura: Springer Nature Switzerland AG

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This book gathers together a novel collection of problems in mathematical analysis that are challeng...

Informații despre carte

Autor

Alina Sintamarian, Ovidiu Furdui

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2021

Pagini

536

EAN

9783030771386

ISBN

3030771385

Enbook ID

36630508

Editura

Springer Nature Switzerland AG

Greutate

1040

Dimensiuni

241 x 160 x 35

Descriere completă

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 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. 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.

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