AnyBook4Less.com	Find the Best Price on the Web Order from a Major Online Bookstore
Home  |  Store List  |  FAQ  |  Contact Us  |
Ultimate Book Price Comparison Engine Save Your Time And Money Keyword AuthorISBN

Title: Methods of Modern Mathematical Physics, Vol. 1: Functional Analysis by Michael Reed, Barry Simon ISBN: 0-12-585050-6 Publisher: Academic Press Pub. Date: 28 December, 1980 Format: Hardcover Volumes: 1 List Price(USD): $71.00

Your Country USA Canada United Kingdom Australia Austria Belgium France Germany Italy Netherlands Switzerland Currency AutoUSD CAD GBP EUR AUD CHF Delivery Only cheapest delivery All delivery options Include Used Books Are you a club member of: Barnes and Noble Books A Million Chapters.Indigo.ca

Average Customer Rating: 4.5 (4 reviews)

Rating: 5
Summary: The essential spectra of tools for physical observables.
Comment: Books on mathematical methods "for physicists" are often
criticized by their superficiality, a sacrifice deemed
necessary for achieving completeness. This one is a glaring
exception: the first of a set of 4 (!) volumes dealing with the
finest tools for dealing with the delicate mathematical questions
in quantum theory - namely, functional analysis. Of course, this
sounds rather vague, since quantum physics makes use of
functional-analytic tools as diverse as distributions, Hilbert,
Banach and locally convex spaces, spectral theory, semigroup
theory, operator algebras, etc.

However, do not expect ready-brew formulae and cookbook recipes:
this book gets his job done at least as well as Rudin, Yosida
and Riesz-Sz.Nagy, just to mention the classics. 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". These methods occupy most of the three
remaining volumes) as it proceeds - this bias becomes the true
reason of being for the last two volumes - this particular volume
has precisely the most useful stuff: metric, Banach, topological,
locally convex, and Hilbert spaces, bounded and unbounded
operators. A supplement extracted from the second volume with the
basics of Fourier transforms makes it self-contained as a

monograph.

However, the best things, that make this book nearly unbeatable,
are the several wisely chosen examples and counterexamples, the
notes at the end of each chapter and the wonderful - and useful -
exercises. Many working mathematicians I know use this book
seriously in their research and their courses in Functional
Analysis - a fact that cannot be underestimated and will hardly
be equaled by any book on mathematical physics.

If you work on (axiomatic) quantum field theory you may also want
to keep an eye on the second volume of the set, "Fourier
Analysis, Self-adjointness", which is a bit more specialized but
just as wonderful.

Rating: 5
Summary: The best available text on this subject.
Comment: This superb book may be the best available text on elementary general topology, functional analysis and spectral theory of bounded normal operators on Hilbert spaces. The exercises are excellent as well. Must reading!

Rating: 5
Summary: Excellent
Comment: We used this book in Math 401 at Princeton. This book is great, well-written, well-problemed. It is curious that the other reviewer complains that there is nothing original in this book, because this subject is older than the author, who is an expert in Schrodinger operators. The parts of the next three volumes which I have read have also been great.

Similar Books:

	Title: II: Fourier Analysis, Self-Adjointness (Fourier Analysis Self-Adjointness) by Michael Reed, Barry Simon ISBN: 0125850026 Publisher: Academic Press Pub. Date: 28 September, 1975 List Price(USD): $71.00
	Title: Methods of Modern Mathematical Physics: IV Analysis of Operators by Barry Simon ISBN: 0125850042 Publisher: Academic Press Pub. Date: 28 April, 1978 List Price(USD): $92.95
	Title: III: Scattering Theory : Volume 3 (Scattering Theory) by Barry Simon ISBN: 0125850034 Publisher: Academic Press Pub. Date: 28 April, 1979 List Price(USD): $103.00
	Title: Counterexamples in Analysis (Dover Books on Mathematics) by Bernard R. Gelbaum, John M. H. Olmsted ISBN: 0486428753 Publisher: Dover Publications Pub. Date: 01 June, 2003 List Price(USD): $14.95
	Title: Functional Analysis by Walter Rudin ISBN: 0070542368 Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 01 January, 1991 List Price(USD): $123.75