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Introductory Functional Analysis #127: Introductory Functional Analysis

by

Introductory Functional Analysis #127: Introductory Functional Analysis Cover

 

Synopses & Reviews

Publisher Comments:

THIS IS BOTH PROMO COPY AND BACK COVER COPY!!!!! This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students 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 would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain 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.

Synopsis:

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.

Description:

Includes bibliographical references (p. [435]-439) and index.

Table of Contents

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.

Product Details

ISBN:
9780387983073
Editor:
Sirovich, L.
Editor:
Marsden, J. E.
Editor:
Sirovich, L.
Author:
Reddy, B. Daya
Author:
Reddy, B.D.
Author:
Marsden, J. E.
Publisher:
Springer
Location:
New York, NY
Subject:
Calculus
Subject:
Finite element method
Subject:
Boundary value problems
Subject:
Functional Analysis
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Computational intelligence
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics : Functional Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Subject:
Engineering
Copyright:
Edition Description:
Book
Series:
Texts in Applied Mathematics
Series Volume:
127
Publication Date:
19971120
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
486
Dimensions:
235 x 155 mm 1900 gr

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Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General

Introductory Functional Analysis #127: Introductory Functional Analysis New Hardcover
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$126.25 In Stock
Product details 486 pages Springer-Verlag - English 9780387983073 Reviews:
"Synopsis" by , 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.
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