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Introductory Functional Analysis: With Applications to Boundary-Value Problems
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Introductory Functional Analysis: With Applications to Boundary-Value Problems
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Introductory Functional Analysis: With Applications to Boundary-Value Problems

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Condition:
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    Item specifics

    Condition
    Like New: A book that has been read, but looks new. The book cover has no visible wear, and the dust ...
    EAN
    9780387983073
    ISBN
    9780387983073
    UPC
    9780387983073
    MPN
    N/A

    About this product

    Product Identifiers

    Publisher
    Springer New York
    ISBN-10
    0387983074
    ISBN-13
    9780387983073
    eBay Product ID (ePID)
    961368

    Product Key Features

    Number of Pages
    Xiv, 472 Pages
    Publication Name
    Introductory Functional Analysis Vol. 127 : With Applications to Boundary Value Problems and Finite Elements
    Language
    English
    Publication Year
    1997
    Subject
    Engineering (General), Differential Equations / General, Functional Analysis, Intelligence (Ai) & Semantics, Numerical Analysis, Mathematical Analysis
    Type
    Textbook
    Author
    B. D. Reddy
    Subject Area
    Mathematics, Computers, Technology & Engineering
    Series
    Texts in Applied Mathematics Ser.
    Format
    Hardcover

    Dimensions

    Item Height
    0.4 in
    Item Weight
    67 Oz
    Item Length
    9.2 in
    Item Width
    6.1 in

    Additional Product Features

    Intended Audience
    Scholarly & Professional
    LCCN
    97-024052
    Dewey Edition
    21
    Series Volume Number
    27
    Number of Volumes
    1 vol.
    Illustrated
    Yes
    Dewey Decimal
    515/.7
    Table Of Content
    Contents.- Introduction.- Linear Functional Analysis.- Sets.- The algebra of sets.- Sets of numbers.- Rn and its subsets.- Relations, equivalence classes and Zorn's lemma.- Theorem-proving.- Bibliographical remarks.- Exercises.- Sets of functions and Lebesgue integration.- Continuous functions.- Meansure of sets in Rn.- Lebesgue integration and the space Lp(_).- Bibliographical remarks .- Exercises.- Vector spaces, normed and inner product spaces.
    Synopsis
    Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis- ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe- matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable f r use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op- posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis., Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method., Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis­ ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe­ matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op­ posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis., The book is aimed particularly at students and researchers who do not have the traditional prerequisites (for example, real analysis) for a first course in functional analysis, and are interested in the applications of this subject to areas such as partial differential equations and the finite element method. The selection, presentation and organization of material are guided by the principle that abstract concepts should be conveyed in a carefully structured and well-placed manner, in order to make these readily accessible to the target readership., Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis­ ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe­ matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op­ posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis.
    LC Classification Number
    QA299.6-433

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