Elementary Functional Analysis

ISBN-10: 0486689239

ISBN-13: 9780486689234

Edition: 2nd 1996 (Revised)

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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.
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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

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
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
Hints and Answers
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