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Product Integration with Application to Differential Equations

$81.99 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521177375

$ 81.99 (C)
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  • Originally published in 1979, this book shows the beautiful simplifications that can be brought to the theory of differential equations by treating such equations from the product integral viewpoint. The first chapter of the book, dealing with linear ordinary differential equations, should be accessible to anyone with a knowledge of matrix theory and elementary calculus. Later chapters assume more sophistication on the part of the reader. The essential unity of these subjects is illustrated by the fact that the idea of the product integral can be naturally and effectively used to deal with all of them.

    Reviews & endorsements

    Review of the hardback: 'This book is an attractive, elementary introduction to the product integral and includes a general survey of the subject by P. R. Masani'. American Mathematical Monthly

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    Product details

    • Date Published: June 2011
    • format: Paperback
    • isbn: 9780521177375
    • length: 286 pages
    • dimensions: 234 x 156 x 15 mm
    • weight: 0.41kg
    • availability: Available
  • Table of Contents

    Editor's statement
    Section editor's statement
    Preface
    1. Product integration of matrix-valued functions
    2. Contour product integration
    3. Strong product integration
    4. Applications
    5. Product integration of measures
    6. Complements
    other work and further results on product integration
    Appendices
    References
    Notes to the references.

  • Authors

    John Day Dollard

    Charles N. Friedman

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