Methods Of Modern Mathematical Physics Functional Analysis


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Methods of Modern Mathematical Physics: Functional analysis


Methods of Modern Mathematical Physics: Functional analysis

Author: Michael Reed

language: en

Publisher: Gulf Professional Publishing

Release Date: 1980


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"This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.

Methods of Modern Mathematical Physics


Methods of Modern Mathematical Physics

Author: Michael Reed

language: en

Publisher: Elsevier

Release Date: 2012-12-02


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Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.

IV: Analysis of Operators


IV: Analysis of Operators

Author: Michael Reed

language: en

Publisher: Academic Press

Release Date: 1978-04-28


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