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Analysis

Analysis
An Introduction

£45.99

textbook
  • Date Published: November 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521600477

£ 45.99
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  • 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.

    • Self-contained coverage of basic analysis, from fundamentals to more advanced topics
    • Designed to enhance understanding through numerous remarks, examples, and 500 exercises
    • Clear but concise treatment of many interesting examples and applications
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    Reviews & endorsements

    'The self-contained text, suitable for advanced undergraduates, provides an extensive introduction into mathematical analysis, from the fundamentals to more advanced material.' Zentralblatt fur Didaktik der Mathematik

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    Product details

    • Date Published: November 2004
    • format: Paperback
    • isbn: 9780521600477
    • length: 272 pages
    • dimensions: 252 x 177 x 17 mm
    • weight: 0.49kg
    • contains: 11 b/w illus. 502 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. The real and complex numbers
    3. Real and complex sequences
    4. Series
    5. Power series
    6. Metric spaces
    7. Continuous functions
    8. Calculus
    9. Some special functions
    10. Lebesgue measure on the line
    11. Lebesgue integration on the line
    12. Function spaces
    13. Fourier series
    14. Applications of Fourier series
    15. Ordinary differential equations
    Appendix: the Banach-Tarski paradox
    Hints for some exercises.

  • Resources for

    Analysis

    Richard Beals

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  • Author

    Richard Beals, Yale University, Connecticut
    Richard Beals is James E. English Professor of Mathematics at Yale University. He has also served as Professor at the University of Chicago and visiting Professor at the University of Paris, Orsay. He is the author of over 100 research papers and monographs in partial differential equations, differential equations, functional analysis, inverse problems, mathematical physics, mathematical psychology and mathematical economics.

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