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Author:   Georgi E. Shilov
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Edition:   2nd Revised edition
Dimensions:   Width: 13.70cm , Height: 1.70cm , Length: 21.50cm
Weight:   0.361kg
ISBN:  

9780486689234

ISBN 10:   0486689239
Pages:   352
Publication Date:   18 January 1996
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

Preface 1. Basic Structures of Mathematical Analysis 1.1 Linear Spaces 1.2 Metric Spaces 1.3 Normed Linear Spaces 1.4 Hilbert Spaces 1.5 Approximation on a Compactum 1.6 Differentiation and Integration in a Normed Linear Space 1.7 Continuous Linear Operators 1.8 Normed Algebras 1.9 Spectral Properties of Linear Operators Problems 2. Differential Equations 2.1 Definitions and Examples 2.2 The Fixed Point Theorem 2.3 Existence and Uniqueness of Solutions 2.4 Systems of Equations 2.5 Higher-Order Equations 2.6 Linear Equations and systems 2.7 The Homogeneous Linear Equation 2.8 The Nonhomogeneous Linear Equation Problems 3. Space Curves 3.1 Basic Concepts 3.2 Higher Derivatives 3.3 Curvature 3.4 The Moving Basis 3.5 The Natural Equations 3.6 Helices Problems 4. Orthogonal Expansions 4.1 Orthogonal Expansions in Hilbert Space 4.2 Trigonometric Fourier Series 4.3 Convergence of Fourier Series 4.4 Computations with Fourier Series 4.5 Divergent Fourier Series and Generalized Summation 4.6 Other Orthogonal Systems Problems 5. The Fourier Transform 5.1 The Fourier Integral and Its Inversion 5.2 Further Properties of the Fourier Transform 5.3 Examples and Applications 5.4 The Laplace Transform 5.5 Quasi-Analytic Classes of Functions Problems Hints and Answers; Bibliography; Index

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Author Information

Soviet mathematician Georgi E. Shilov (1917-75) was a longtime Professor of Mathematics at Moscow State University and the author of several other successful Dover reprints.

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