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Introduction to Measure Theory

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ISBN-10: 0821869191

ISBN-13: 9780821869192

Edition: 2011

Authors: Terence Tao

List price: $56.00
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Description:

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Caratheodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover…    
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Book details

List price: $56.00
Copyright year: 2011
Publisher: American Mathematical Society
Publication date: 9/14/2011
Binding: Hardcover
Pages: 206
Size: 7.25" wide x 10.25" long x 0.75" tall
Weight: 1.452
Language: English

Terence Tao is a Professor in the Department of Mathematics at the University of California, Los Angeles. He was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.