
Applied Functional Analysis
CRC Press
1st Edition
Published on 6. February 1996
Book
Hardback
670 pages
978-0-8493-2551-9 (ISBN)
Article exhausted; check for reprint
Description
Functional analysis-the study of the properties of mathematical functions-is widely used in modern scientific and engineering disciplines, particularly in mathematical modeling and computer simulation. Applied Functional Analysis, the only textbook of its kind, is designed specifically for the graduate student in engineering and science who has little or no training in advanced mathematics. Comprehensive and easy-to-understand, this innovative textbook progresses from the essentials of preparatory mathematics to sophisticated functional analysis. This self-contained presentation requires few mathematical prerequisites and provides students with the fundamental concepts and theorems essential to mathematical analysis and modeling.
Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work in partial differential equations, approximation theory, numerical mathematics, control theory, mathematical physics, and related subjects. This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.
Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work in partial differential equations, approximation theory, numerical mathematics, control theory, mathematical physics, and related subjects. This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.
More details
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Intended to be used as a text or reference on functional analysis.
Applied mathematicians, engineers, and physists
Illustrations
7 s/w Tabellen
7 tabs.
Dimensions
Height: 235 mm
Width: 156 mm
Weight
1090 gr
ISBN-13
978-0-8493-2551-9 (9780849325519)
Schweitzer Classification
Other editions
New editions

J. Tinsley Oden | Leszek Demkowicz
Applied Functional Analysis, Second Edition
Book
03/2010
2nd Edition
Chapman & Hall/CRC
€155.99
Article exhausted; check for reprint
Content
Preliminaries
Elementary Set Theory
Elementary Logic
Relations
Functions
Cardinality of Sets
Foundations of Abstract Algebra
Elementary Topology in Rn
Elements of Differential and Integral Calculus
Linear Algebra
Vector Spaces - The Basic Concepts
Linear Transformations
Algebraic Duals
Euclidean Spaces
Lebesgue Measure and Integration
Lebesgue Measure
Lebesgue Integration Theory
Lp-Spaces
Topological and Metric Spaces
Elementary Topology
Theory of Metric Spaces
Banach Spaces
Topological Vector Spaces
Hahn-Banach Extension Theorem
Bounded (Continuous) Linear Operators on Normed Spaces
Closed Operators
Topological Duals: Weak Compactness
Closed Range Theorem: Solvability of Linear Equations
Hilbert Spaces
Basic Theory
Duality in Hilbert Spaces
Elements of Spectral Theory
References
Index
Elementary Set Theory
Elementary Logic
Relations
Functions
Cardinality of Sets
Foundations of Abstract Algebra
Elementary Topology in Rn
Elements of Differential and Integral Calculus
Linear Algebra
Vector Spaces - The Basic Concepts
Linear Transformations
Algebraic Duals
Euclidean Spaces
Lebesgue Measure and Integration
Lebesgue Measure
Lebesgue Integration Theory
Lp-Spaces
Topological and Metric Spaces
Elementary Topology
Theory of Metric Spaces
Banach Spaces
Topological Vector Spaces
Hahn-Banach Extension Theorem
Bounded (Continuous) Linear Operators on Normed Spaces
Closed Operators
Topological Duals: Weak Compactness
Closed Range Theorem: Solvability of Linear Equations
Hilbert Spaces
Basic Theory
Duality in Hilbert Spaces
Elements of Spectral Theory
References
Index