Synopsis
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.
"synopsis" may belong to another edition of this title.
Language Notes
Text: English (translation)
Original Language: French
Review
"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
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Integration and Probability (Graduate Texts in Mathematics,...
Stock Image
Integration and Probability (Graduate Texts in Mathematics) (v. 157)
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Good. Seller Inventory # mon0004121382
Stock Image
Integration and Probability
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387944095I4N00
Seller Image
Integration and Probability
Seller: curtis paul books, inc., Crestline, CA, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Very Good+. Some fading to covers. ; Graduate Texts In Mathematics, 157; 9.3 X 6.3 X 0.9 inches. Seller Inventory # 35787
Stock Image
Integration and Probability (Graduate Texts in Mathematics) (v. 157)
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Fine. Seller Inventory # mon0003939217
Seller Image
Integration and Probability
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 3461580-n
Stock Image
Integration and Probability (Hardcover)
Published by
Springer-Verlag New York Inc., New York, NY, 1995
ISBN 10: 0387944095
ISBN 13: 9780387944098
New
Hardcover
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. This book is designed to be an introduction to analysis with the proper mix of abstract theories and concrete problems. It starts with general measure theory, treats Borel and Radon measures (with particular attention paid to Lebesgue measure) and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the Fourier analysis of such. 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 to the existing literature gives the reader a taste of the fact that analysis is not a collection of independent theories but can be treated as a whole. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387944098
Stock Image
Integration and Probability (Graduate Texts in Mathematics, 157)
Seller: GoldBooks, Denver, CO, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. New Copy. Customer Service Guaranteed. Seller Inventory # 57Y36_62_0387944095
Seller Image
Integration and Probability
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 3461580
Stock Image
Integration and Probability (Graduate Texts in Mathematics, 157)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780387944098_new
Buy New
US$ 118.65
US$ 16.05 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Integration and Probability
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 3461580-n
Buy New
US$ 118.64
US$ 20.09 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available