Applied Functional Analysis, Second Edition

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CRC Press, Feb 6, 1996 - Mathematics - 672 pages
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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.
 

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Its a very well-written book. Nothing is left to imagination in his style of explanation. Topics covered are not very usual ones, but clarity of these seemingly unimportant and obvious facts take one towards a proper understanding of the subject such as functional analysis.

Contents

Preliminaries
1
Linear Algebra
123
Lebesgue Measure and Integration
215
Topological and Metric Spaces
289
Banach Spaces
383
Hilbert Spaces
511
Duality in Hilbert Spaces
556
References
643
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