Functional Analysis

Methods of Modern Mathematical Physics #1

by Michael Reed, Barry Simon

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.

Genres: Mathematics, Physics, Textbooks, Functional Analysis, Science

416 pages, Hardcover

First published January 1, 1972

Reviews

[HikBook]

Aparece como ejemplo la función 1/x renormalizada.
((1/x)_+ renormalized)
Es posible interpretar 1/x como una distribución

[Filip Dul · Rating 5 out of 5]

Writing a math book is an art form: Reed and Simon are the Michelangelo of said form.

[Joe Cole · Rating 5 out of 5]

Most theorems are rigorously proved, and although the book becomes more and more biased towards mathematical physics (i.e., methods for proving self-adjointness, analysis of spectra and scattering theory, as stated in the section "Three Mathematical Problems in Quantum Mechanics".

[Lulu]

Analysis and its applications to quantum physics