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Functional Analysis for Physics and Engineering : An Introduction (Hardcover) (Hiroyuki Shima)

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This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vector spaces, tensor spaces, Lebesgueintegrals, and operators, to name a few. Two central issues—the theory of Hilbert space and the operator theory—and how they relate to quantum physics are covered extensively. Each chapter explains, concisely, the purpose of the specific topic and the benefit of understanding it. Researchers and graduate students in physics, mechanical engineering, and information science will benefit from this view of functional analysis.

This book provides a useful basic introduction to functional analysis for nonexperts in mathematics. It is distinct from most other books on the subject intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Two central issues?spectral representation and fixed-point theorem?and how they relate to quantum physics are covered extensively. Researchers and graduate students in physics, mechanical engineering, and information science will benefit from this view of functional analysis.
Number of Pages: 269
Genre: Mathematics
Sub-Genre: Applied, Functional Analysis, Arithmetic
Format: Hardcover
Publisher: Taylor & Francis
Author: Hiroyuki Shima
Language: English
Street Date: December 23, 2015
TCIN: 23999672
UPC: 9781482223019
Item Number (DPCI): 247-50-8055
$149.95

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