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Item Details
Title: ESSENTIALS OF INTEGRATION THEORY FOR ANALYSIS
By: Daniel W. Stroock
Format: Paperback

List price: £46.99


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ISBN 10: 1461429889
ISBN 13: 9781461429883
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 24 October, 2013
Edition: 2011 ed.
Series: Graduate Texts in Mathematics 262
Pages: 244
Description: Essentials of Integration Theory for Analysis is a substantial revision of the bestselling Birkhauser title by the same author, A Concise Introduction to the Theory of Integration. This new gem is appropriate as a text for a one-semester graduate course in integration theory and is complimented by the addition of several problems related to the new material. The text is also highly useful for self-study.
Synopsis: 'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of Riemann sums. The second chapter now covers both Lebesgue and Bernoulli measures, whose relation to one another is discussed. The third chapter now includes a proof of Lebesgue's differential theorem for all monotone functions. This is a beautiful topic which is not often covered. The treatment of surface measure and the divergence theorem in the fifth chapter has been improved. Loose ends from the discussion of the Euler-MacLauren in Chapter I are tied together in Chapter seven. Chapter eight has been expanded to include a proof of Caratheory's method for constructing measures; his result is applied to the construction of Hausdorff measures. The new material is complemented by the addition of several new problems based on that material.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
Some other items by this author:
A CONCISE INTRODUCTION TO ANALYSIS (PB)
A CONCISE INTRODUCTION TO INTEGRATION THEORY (HB)
A CONCISE INTRODUCTION TO THE THEORY OF INTEGRATION (HB)
A CONCISE INTRODUCTION TO THE THEORY OF INTEGRATION (HB)
AN INTRODUCTION TO MARKOV PROCESSES (HB)
AN INTRODUCTION TO MARKOV PROCESSES (PB)
AN INTRODUCTION TO MARKOV PROCESSES (PB)
AN INTRODUCTION TO THE ANALYSIS OF PATHS ON A RIEMANNIAN MANIFOLD (PB)
CONCISE INTRODUCTION TO THE THEORY OF INTEGRATION, A (HB)
ELEMENTS OF STOCHASTIC CALCULUS AND ANALYSIS (HB)
ESSENTIALS OF INTEGRATION THEORY FOR ANALYSIS
ESSENTIALS OF INTEGRATION THEORY FOR ANALYSIS (HB)
ESSENTIALS OF INTEGRATION THEORY FOR ANALYSIS (HB)
GAUSSIAN MEASURES IN FINITE AND INFINITE DIMENSIONS
LARGE DEVIATIONS (HB)
LECTURES ON STOCHASTIC ANALYSIS: DIFFUSION THEORY
LECTURES ON STOCHASTIC ANALYSIS: DIFFUSION THEORY (HB)
LECTURES ON STOCHASTIC ANALYSIS: DIFFUSION THEORY (PB)
MALLIAVIN CALCULUS AT SAINT-FLOUR (PB)
MARKOV PROCESSES FROM K. ITO'S PERSPECTIVE (AM-155)
MARKOV PROCESSES FROM K. ITO'S PERSPECTIVE (AM-155) (PB)
MARKOV PROCESSES FROM K. ITO'S PERSPECTIVE (HB)
MATHEMATICS OF PROBABILITY
MULTIDIMENSIONAL DIFFUSION PROCESSES (HB)
MULTIDIMENSIONAL DIFFUSION PROCESSES (HB)
MULTIDIMENSIONAL DIFFUSION PROCESSES (PB)
PARTIAL DIFFERENTIAL EQUATIONS FOR PROBABILISTS
PARTIAL DIFFERENTIAL EQUATIONS FOR PROBABILISTS
PARTIAL DIFFERENTIAL EQUATIONS FOR PROBABILISTS (HB)
PARTIAL DIFFERENTIAL EQUATIONS FOR PROBABILISTS (PB)
PROBABILITY THEORY
PROBABILITY THEORY (HB)
PROBABILITY THEORY (PB)
PROBABILITY THEORY, AN ANALYTIC VIEW (HB)
PROBABILITY THEORY, AN ANALYTIC VIEW (PB)
SELECTED PAPERS (HB)
THE LEGACY OF NORBERT WIENER (HB)

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