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A Course in Modern Analysis and its Applications

$249.00 (X)

Part of Australian Mathematical Society Lecture Series

  • Date Published: June 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521819961

$ 249.00 (X)

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About the Authors
  • Designed for one-semester courses at the senior undergraduate level, this book is written for mathematics students and teachers, as well as others needing to learn mathematical analysis for engineering, physics, biology or finance. Nominal divisions between pure and applied mathematics have been merged to provide easier access. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

    • Painstakingly written approach through convergence of sequences, but gives space to topological view, so providing flexibility of use
    • Applications in many areas of mathematics and science makes it pertinent to new quantitative approaches to engineering, physics and finance
    • Begins with a comprehensive summary of notions of real analysis, then proceeds to an easy introduction to more advanced notions of functional analysis
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    Reviews & endorsements

    'The book can be warmly recommended to all instructors of graduate and undergraduate courses in analysis, as well as for interested students.' Acta Scientiarum Mathematicarum

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    Product details

    • Date Published: June 2003
    • format: Hardback
    • isbn: 9780521819961
    • length: 348 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.68kg
    • contains: 16 b/w illus. 204 exercises
    • availability: Available
  • Table of Contents

    1. Prelude to modern analysis
    2. Metric spaces
    3. The fixed point theorem and its applications
    4. Compactness
    5. Topological spaces
    6. Nomed vector spaces
    7. Mappings on normed spaces
    8. Inner product spaces
    9. Hilbert spaces

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

    • Analysis III
  • Author

    Graeme L. Cohen, University of Technology, Sydney

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