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Examples and Theorems in Analysis

  • Peter Leslie Walker

Table of contents

  1. Front Matter
    Pages i-x
  2. Peter Leslie Walker
    Pages 1-30
  3. Peter Leslie Walker
    Pages 31-66
  4. Peter Leslie Walker
    Pages 67-101
  5. Peter Leslie Walker
    Pages 103-123
  6. Peter Leslie Walker
    Pages 125-139
  7. Peter Leslie Walker
    Pages 141-194
  8. Peter Leslie Walker
    Pages 195-247
  9. Back Matter
    Pages 249-287

About this book

Introduction

Examples and Theorems in Analysis takes a unique and very practical approach to mathematical analysis. It makes the subject more accessible by giving the examples equal status with the theorems. The results are introduced and motivated by reference to examples which illustrate their use, and further examples then show how far the assumptions may be relaxed before the result fails.

A number of applications show what the subject is about and what can be done with it; the applications in Fourier theory, distributions and asymptotics show how the results may be put to use. Exercises at the end of each chapter, of varying levels of difficulty, develop new ideas and present open problems.

Written primarily for first- and second-year undergraduates in mathematics, this book features a host of diverse and interesting examples, making it an entertaining and stimulating companion that will also be accessible to students of statistics, computer science and engineering, as well as to professionals in these fields.

Keywords

Analysis Calculus Derivative Distribution Fourier series Fourier-Analysis Undergraduate Level differential equation

Authors and affiliations

  • Peter Leslie Walker
    • 1
  1. 1.College of Arts and ScienceAmerican University of SharjahSharjahUnited Arab Emirates

Bibliographic information

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