ENGLISH

Functional Integrals: Approximate Evaluation and Applications

By A. D. Egorov , P. I. Sobolevsky , L. A. Yanovich (auth.)

Book information

Publisher
Springer Netherlands
Year
1993
ISBN
978-94-010-4773-9, 978-94-011-1761-6
DOI
10.1007/978-94-011-1761-6
Language
english
Format
PDF
Filesize
10 MB (10531213 bytes)
Series
Mathematics and Its Applications 249
Edition
1
Pages
419\420
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Computational Mathematics and Numerical Analysis;MQuantum Field Theory

Description

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.

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