Functional Analysis for Physics and Engineering

An Introduction

By: Hiroyuki Shima

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Hardcover | 23 December 2015 | Edition Number 1

At a Glance

Hardcover
286 Pages

Dimensions(cm)
15.8 x 23.6 x 2.1

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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, Lebesgue integrals, and operators, to name a few. Two central issuesâ"the theory of Hilbert space and the operator theoryâ"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.

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