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Applied Algebra and Functional Analysis

Applied Algebra and Functional Analysis

By: Anthony N. Michel, Charles J. Herget

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"The treatment is thorough; the book will certainly serve as a valuable reference." — American Scientist.
Written for graduate and advanced undergraduate students in engineering and science, this book focuses primarily on set theory, algebra, and analysis. Useful both for self-study and as a reference, the text provides the readers with appropriate mathematical background for advanced study in engineering or science, a basis for more advanced mathematical study, and an overview of modern mathematics.
The book is essentially divided into three parts: set theory (Chapter 1), algebra (Chapters 2‒4), and analysis (Chapters 5‒7). The first two chapters deal with the fundamental concepts of sets, functions, relations, and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed spaces (Banach spaces) and inner product spaces (Hilbert spaces), and linear operators. A generous number of exercises have been integrated into the text and a section of references and notes is found at the end of each chapter. 1981 edition.

Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1981 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 10048667598X
ISBN 139780486675985
Author/EditorAnthony N. Michel, Charles J. Herget
Page Count512
Dimensions5 3/8 x 8 1/2

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