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Mathematics and Its Applications

Functional Integrals

Approximate Evaluation and Applications

Authors: Egorov, A.D., Sobolevsky, P.I., Yanovich, L.A.

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  • ISBN 978-94-011-1761-6
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Hardcover $139.99
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About this book

Integration in infinitely dimensional spaces (continual integration) is a powerful mathematical tool which is widely used in a number of fields of modern mathematics, such as analysis, the theory of differential and integral equations, probability theory and the theory of random processes. This monograph is devoted to numerical approximation methods of continual integration. A systematic description is given of the approximate computation methods of functional integrals on a wide class of measures, including measures generated by homogeneous random processes with independent increments and Gaussian processes. Many applications to problems which originate from analysis, probability and quantum physics are presented. This book will be of interest to mathematicians and physicists, including specialists in computational mathematics, functional and statistical physics, nuclear physics and quantum optics.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Backgrounds from Analysis on Linear Topological Spaces

    Pages 1-14

    Egorov, A. D. (et al.)

  • Integrals with Respect to Gaussian Measures and Some Quasimeasures: Exact Formulae, Wick Polynomials, Diagrams

    Pages 15-46

    Egorov, A. D. (et al.)

  • Integration in Linear Topological Spaces of Some Special Classes

    Pages 47-63

    Egorov, A. D. (et al.)

  • Approximate Interpolation-Type Formulae

    Pages 65-80

    Egorov, A. D. (et al.)

  • Formulae Based on Characteristic Functional Approximations, which Preserve a Given Number of Moments

    Pages 81-107

    Egorov, A. D. (et al.)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-94-011-1761-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-7923-2193-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-94-010-4773-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Functional Integrals
Book Subtitle
Approximate Evaluation and Applications
Authors
Series Title
Mathematics and Its Applications
Series Volume
249
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-1761-6
DOI
10.1007/978-94-011-1761-6
Hardcover ISBN
978-0-7923-2193-4
Softcover ISBN
978-94-010-4773-9
Edition Number
1
Number of Pages
X, 419
Topics