Mathematical Analysis Explained
eBook - PDF

Mathematical Analysis Explained

  1. 192 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Analysis Explained

About this book

This is first course in mathematical analysis, for students who have some familiarity with calculus, but are not familiar with formal proofs. All but the most straightforward proofs are worked out in detail before being presented formally in this book. Thus most of the ideas are expressed in two different ways; the first encourages and develops the intuition and the second gives a feeling for what constitutes a proof. In this way, intuition and rigor appear as partners rather than competitors. The informal discussions, the examples and the exercises may assume some familiarity with calculus, but the definitions, theorems and formal proofs are presented in the correct logical order and assume no prior knowledge of calculus. Thus some basic principles of calculus are blended into the presentation rather than being completely excluded.

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

Information

Table of contents

  1. Contents
  2. Preface
  3. Chapter 1 THE REAL NUMBERS
  4. Chapter 2 SEQUENCES AND SERIES
  5. Chapter 3 CONTINUOUS FUNCTIONS
  6. Chapter 4 DIFFERENTIABLE FUNCTIONS
  7. Chapter 5 FURTHER RESULTS ON INFINITE SERIES
  8. Chapter 6 SPECIAL FUNCTIONS
  9. Chapter 7 THE RIEMANN INTEGRAL
  10. Chapter 8 THE NUMBER π
  11. Index