Methods of Modern Mathematical Physics Vol.1: Functional Analysis – Michael Reed, Barry Simon – 1st Edition

This is the of a multivolume series devoted to an exposition of functional methods in modern mathematical . It describes the principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes.

We have included a few when we thought that they would provide motivation for the reader. Later volumes describe various topics in functional analysis and give numerous in classical physics, modern physics, and partial differential .

  • Preliminaries
  • Hilbert Spaces
  • Banach Spaces
  • Topological Spaces
  • Locally Convex Spaces
  • Bounded Operators
  • The Spectral Theorem
  • Unbounded Operators
  • The Fourier Transform
  • Supplementary Material
  • List of Symbols
  • Index
Title: Methods of Modern Mathematical Physics: Functional Analysis
Author: Barry Simon / Michael Reed
Edition: 1st Edition
ISBN: 0125850506 | 9780125850506
Type: eBook
Language: English

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