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Item Details
Title: INTEGRATION AND PROBABILITY
By: Paul Malliavin, L. Kay (Trans)
Format: Hardback

List price: £69.99


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ISBN 10: 0387944095
ISBN 13: 9780387944098
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 June, 1995
Edition: 1995 ed.
Series: Graduate Texts in Mathematics 157
Pages: 326
Translated from: French
Description: This book offers an introduction to analysis with the proper mix of abstract theories and concrete problems, demonstrating for the reader the fact that analysis is not a collection of independent theories but can be treated as a whole.
Synopsis: An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the corresponding Fourier analysis. It continues with a Hilbertian treatment of the basic laws of probability including Doob's martingale convergence theorem and finishes with Malliavin's "stochastic calculus of variations" developed in the context of Gaussian measure spaces. This invaluable contribution gives a taste of the fact that analysis is not a collection of independent theories, but can be treated as a whole.
Illustrations: XXII, 326 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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