#### Title

A Problem Book in Real Analysis

#### Files

Download Full Text

#### 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 will stimulate its readers to independent thinking in discovering analysis. Prerequisites for the reader are a robust understanding of calculus and linear algebra.

#### ISBN

9781441912961 1441912967 1441913114 9781441913111

#### Publication Date

2010

#### Publisher

Springer-Verlag

#### City

New York

#### Keywords

theorems, analysis, set theory, functions, sequences

#### Disciplines

Analysis | Applied Mathematics | Mathematics | Set Theory

#### Recommended Citation

A. G. Aksoy and M. A. Khamsi, A Problem Book in Real Analysis, Springer-Verlag, Problem Books in Mathematics, 2010.