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3rd Edition


  • Date Published: June 2006
  • availability: In stock
  • format: Hardback
  • isbn: 9780521867443

£ 42.99

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About the Authors
  • Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    • One of the most celebrated texts of its type now readily available outside of the US: combines the rigor of more formidable books with the leisurely explanations, profusion of examples, exercises and illustrations associated with 'doorstops'
    • Ideal for students; clear, crisp explanations of what analysis and mathematics are really about
    • Full range of exercises, from the straightforward to the challenging that deepen understanding; solutions available in book form via
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    Product details

    • Edition: 3rd Edition
    • Date Published: June 2006
    • format: Hardback
    • isbn: 9780521867443
    • length: 681 pages
    • dimensions: 259 x 231 x 41 mm
    • weight: 1.78kg
    • contains: 700 b/w illus.
    • availability: In stock
  • Table of Contents

    Part I. Prologue:
    1. Basic properties of mumbers
    2. Numbers of various sorts
    Part II. Foundations:
    3. Functions
    4. Graphs
    5. Limits
    6. Continuous functions
    7. Three hard theorems
    8. Least upper bounds
    Part III. Derivatives and Integrals:
    9. Derivatives
    10. Differentiation
    11. Significance of the derivative
    12. Inverse functions
    13. Integrals
    14. The fundamental theorem of calculus
    15. The trigonometric functions
    16. Pi is irrational
    17. Planetary motion
    18. The logarithm and exponential functions
    19. Integration in elementary terms
    Part IV. Infinite Sequences and Infinite Series:
    20. Approximation by polynomial functions
    21. e is transcendental
    22. Infinite sequences
    23. Infinite series
    24. Uniform convergence and power series
    25. Complex numbers
    26. Complex functions
    27. Complex power series
    Part V. Epilogue:
    28. Fields
    29. Construction of the real numbers
    30. Uniqueness of the real numbers
    Suggested reading
    Answers (to selected problems)
    Glossary of symbols

  • Instructors have used or reviewed this title for the following courses

    • Analytic Geometry and Calculus I
    • Introduction to Mathematical Analysis
    • Introduction to analysis
  • Author

    Michael Spivak, Publish or Perish Inc., Houston, Texas

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