Foundations Of Real And Abstract Analysis, Vol -174 at Meripustak

Foundations Of Real And Abstract Analysis, Vol -174

Books from same Author: Douglas S. Bridges

Books from same Publisher: Springer-Verlag New York Inc.

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  • General Information  
    Author(s)Douglas S. Bridges
    PublisherSpringer-Verlag New York Inc.
    Edition1998 ed.
    ISBN9780387982397
    Pages322
    BindingHardback 
    LanguageEnglish
    Publish YearOctober 1997

    Description

    Springer-Verlag New York Inc. Foundations Of Real And Abstract Analysis, Vol -174 by Douglas S. Bridges

    A complete course on metric normed and Hilbert spaces including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format including elementary real analysis Lebesgue integration on R and an introduction to functional analysis. The book begins with a fast-paced course on real analysis followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis the Hahn-Banach theorem and duality separation theorems the Baire Category Theorem the Open Mapping Theorem and their consequences and unusual applications. Of special interest are the 750 exercises many with guidelines for their solutions applications and extensions of the main propositions and theorems pointers to new branches of the subject and difficult challenges for the very best students.