Articles liés à Modern Analysis 1997

Modern Analysis 1997 - Couverture rigide

Livre 90 sur 151: CRC Press Revivals

Kuttler, Kenneth

 
9781138106024: Modern Analysis 1997

Synopsis

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.
  • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Kenneth Kuttler

    À propos de la quatrième de couverture

    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.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.