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Modern Analysis (1997)

Kenneth Kuttler
€96.99
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A01=Kenneth Kuttler
advanced graduate analysis textbook
Ascoli Arzela Theorem
Author_Kenneth Kuttler
Banach Space
Banach spaces
Bochner
Borel Measurable Function
Borel Set
Category=PBK
Cauchy Sequence
Disjoint Balls
Dominated Convergence Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Measure Spaces
functional analysis
Hilbert spaces
Lebesgue
Lebesgue integration
Lebesgue Measurable
Lebesgue Measurable Set
Locally Convex Topological Vector Space
Measure Space
measure theory
Metric Space
Milhin
Monotone Class
Nonnegative Simple Function
Normed Linear Space
Open Set
Outer Measure
Radon Measure
Radon measures
Radon Nikodym Theorem
Reflexive Banach Space
Riesz
Riesz Representation Theorem
Statistics
Steven G. Krantz
Topological Space
Topological Vector Space
Uniform Convexity

Product details

  • ISBN 9781138560888
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 28 Jan 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description

Modern Analysis provides coverage of real and abstract analysis, offering a sensible introduction to functional analysis as well as a thorough discussion of measure theory, Lebesgue integration, and related topics. This significant study clearly and distinctively presents the teaching and research literature of graduate analysis:

  • Providing a fundamental, modern approach to measure theory
  • Investigating advanced material on the Bochner integral, geometric theory, and major theorems in Fourier Analysis Rn, including the theory of singular integrals and Milhin's theorem - material that does not appear in textbooks
  • Offering exceptionally concise and cardinal versions of all the main theorems about characteristic functions
  • Containing an original examination of sufficient statistics, based on the general theory of Radon measures
    With an ambitious scope, this resource unifies various topics into one volume succinctly and completely. The contents span basic measure theory in an abstract and concrete form, material on classic linear functional analysis, probability, and some major results used in the theory of partial differential equations. Two different proofs of the central limit theorem are examined as well as a straightforward approach to conditional probability and expectation.
    Modern Analysis provides ample and well-constructed exercises and examples. Introductory topology is included to help the reader understand such items as the Riesz theorem, detailing its proofs and statements. This work will help readers apply measure theory to probability theory, guiding them to understand the theorems rather than merely follow directions.
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    About Kenneth Kuttler
    Kenneth L.Kuttler,Jr.  is a Professor at Department of Math, Brigham Young University

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