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Graduate Texts in Mathematics

Integration and Probability

Authors: Malliavin, Paul

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  • ISBN 978-1-4612-4202-4
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Hardcover $99.99
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  • ISBN 978-0-387-94409-8
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Softcover $84.99
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  • ISBN 978-1-4612-8694-3
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About this Textbook

It is a distinct pleasure to have the opportunity to introduce Professor Malliavin's book to the English-speaking mathematical world. In recent years there has been a noticeable retreat from the level of ab­ straction at which graduate-level courses in analysis were previously taught in the United States and elsewhere. In contrast to the practices used in the 1950s and 1960s, when great emphasis was placed on the most general context for integration and operator theory, we have recently witnessed an increased emphasis on detailed discussion of integration over Euclidean space and related problems in probability theory, harmonic analysis, and partial differential equations. Professor Malliavin is uniquely qualified to introduce the student to anal­ ysis with the proper mix of abstract theories and concrete problems. His mathematical career includes many notable contributions to harmonic anal­ ysis, complex analysis, and related problems in probability theory and par­ tial differential equations. Rather than developed as a thing-in-itself, the abstract approach serves as a context into which special models can be couched. For example, the general theory of integration is developed at an abstract level, and only then specialized to discuss the Lebesgue measure and integral on the real line. Another important area is the entire theory of probability, where we prefer to have the abstract model in mind, with no other specialization than total unit mass. Generally, we learn to work at an abstract level so that we can specialize when appropriate.

Reviews

"If I were asked to recommend texts to research students who need a grounding in integration theory this book would be on the list...The book is excellent" - C. Barnett, Imperial College of Science, Technology and Medicine, London

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-1-4612-4202-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-0-387-94409-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-1-4612-8694-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Integration and Probability
Authors
Translated by
Kay, L.
Series Title
Graduate Texts in Mathematics
Series Volume
157
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-4202-4
DOI
10.1007/978-1-4612-4202-4
Hardcover ISBN
978-0-387-94409-8
Softcover ISBN
978-1-4612-8694-3
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XXII, 326
Additional Information
Original French edition published by Masson Editeur, Paris, 1993
Topics