Analysis
eBook - PDF

Analysis

An Introduction

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Analysis

An Introduction

About this book

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

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Yes, you can access Analysis by Richard Beals in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. 1 Introduction
  8. 2 The Real and Complex Numbers
  9. 3 Real and Complex Sequences
  10. 4 Series
  11. 5 Power Series
  12. 6 Metric Spaces
  13. 7 Continuous Functions
  14. 8 Calculus
  15. 9 Some Special Functions
  16. 10 Lebesgue Measure on the Line
  17. 11 Lebesgue Integration on the Line
  18. 12 Integration and Function Spaces
  19. 13 Fourier Series
  20. 14 Applications of Fourier Series
  21. 15 Ordinary Differential Equations
  22. Appendix The Banach-Tarski Paradox
  23. Hints for Some Exercises
  24. Notation Index
  25. General Index