Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements

Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements

by B.D. Reddy

Paperback(Softcover reprint of the original 1st ed. 1998)

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Overview

Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements by B.D. Reddy

This book is aimed at readers who do not have the traditional prerequisites (e.g., real analysis) for studying functional analysis, yet are interested in its applications to areas such as partial differential equations and the finite element method. It is carefully structured and the material is thoughtfully presented in order to make it accessible a wide readership.

Product Details

ISBN-13: 9781461268246
Publisher: Springer New York
Publication date: 11/20/2013
Series: Texts in Applied Mathematics , #27
Edition description: Softcover reprint of the original 1st ed. 1998
Pages: 472
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

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.

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