Problem Book in Real Analysis

ISBN-10: 1441912959

ISBN-13: 9781441912954

Edition: 2010

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Description:

Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying. The wide variety of exercises presented in this book range from the computational to the more conceptual and varies in difficulty. They cover the following subjects: set theory; real numbers; sequences; limits of the functions; continuity; differentiability; integration; series; metric spaces; sequences; and series of functions and fundamentals of topology. Furthermore, the authors define the concepts and cite the theorems used at the beginning of each chapter. A Problem Book in Real Analysis is not simply a collection of problems; it intends to stimulate its readers to independent thought in discovering analysis. Prerequisites for accessing this book are a robust understanding of calculus and linear algebra.
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Book details

Copyright year: 2010
Publisher: Springer London, Limited
Publication date: 12/17/2009
Binding: Hardcover
Pages: 254
Size: 7.25" wide x 10.25" long x 0.75" tall
Weight: 1.430
Language: English

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