Elementary Functional Analysis

Name: Elementary Functional Analysis
Price: 14.1 USD
Availability: InStock
ISBN: 9780486689234

ISBN-10: 0486689239

ISBN-13: 9780486689234

Edition: 2nd 1996 (Revised)

Authors: Georgi E. Shilov, Richard A. Silverman, Richard A. Silverman

List price: $17.95

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Description:

Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms-including problems in the complex domain, especially involving the Laplace transform-and more. Each chapter includes a set of problems, with hints and answers. Bibliography. 1974 edition.

Book details

List price: $17.95
Edition: 2nd
Copyright year: 1996
Publisher: Dover Publications, Incorporated
Publication date: 1/18/1996
Binding: Paperback
Pages: 352
Size: 5.50" wide x 8.50" long x 0.75" tall
Weight: 0.792
Language: English



Preface



Basic Structures of Mathematical Analysis



Linear Spaces



Metric Spaces



Normed Linear Spaces



Hilbert Spaces



Approximation on a Compactum



Differentiation and Integration in a Normed Linear Space



Continuous Linear Operators



Normed Algebras



Spectral Properties of Linear Operators



Differential Equations



Definitions and Examples



The Fixed Point Theorem



Existence and Uniqueness of Solutions



Systems of Equations



Higher-Order Equations



Linear Equations and systems



The Homogeneous Linear Equation



The Nonhomogeneous Linear Equation



Space Curves



Basic Concepts



Higher Derivatives



Curvature



The Moving Basis



The Natural Equations



Helices Problems



Orthogonal Expansions



Orthogonal Expansions in Hilbert Space



Trigonometric Fourier Series



Convergence of Fourier Series



Computations with Fourier Series



Divergent Fourier Series and Generalized Summation



Other Orthogonal Systems



The Fourier Transform



The Fourier Integral and Its Inversion



Further Properties of the Fourier Transform



Examples and Applications



The Laplace Transform



Quasi-Analytic Classes of Functions


Problems


Hints and Answers


Bibliography


Index