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Functional Analysis (Methods of Modern Mathematical Physics)

4.3 out of 5 stars 6 customer reviews
ISBN-13: 978-0125850506
ISBN-10: 0125850506
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Editorial Reviews

About the Author

Barry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology.

Michael Reed is a Senior Lecturer at the Centre for Early Childhood, within the Institute of Education at the University of Worcester. He teaches on undergraduate and post-graduate courses and shares a coordinating role for a large Foundation Degree programme in early years which is taught in partner Colleges and at Children Centres within the community. He has been part of course development and writing teams at the Open University and an experienced author. He co-edited Reflective Practice in the Early Years (2010) and most recently 'Work Based Research in the Early Years' (2012) both published by Sage.

Michael Reed is a Senior Lecturer at the Centre for Early Childhood, within the Institute of Education at the University of Worcester. He teaches on undergraduate and post-graduate courses and shares a coordinating role for a large Foundation Degree programme in early years which is taught in partner Colleges and at Children Centres within the community. He has been part of course development and writing teams at the Open University and an experienced author. He co-edited Reflective Practice in the Early Years (2010) and most recently 'Work Based Research in the Early Years' (2012) both published by Sage.

Barry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology.
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Product Details

  • Series: Methods of Modern Mathematical Physics (Book 1)
  • Hardcover: 400 pages
  • Publisher: Academic Press (January 11, 1980)
  • Language: English
  • ISBN-10: 0125850506
  • ISBN-13: 978-0125850506
  • Product Dimensions: 6 x 0.9 x 9 inches
  • Shipping Weight: 1.7 pounds (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #1,044,225 in Books (See Top 100 in Books)

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By Pedro L. Ribeiro on June 3, 2002
Format: Hardcover
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.
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By A Customer on October 6, 1999
Format: Hardcover
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.
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Format: Hardcover Verified Purchase
This is an excellent text on functional analysis. I read a few books through the library when learning the subject and really loved the clarity of Reed-Simon the most. Also, the exercises are great.

However, the actual book that I received felt almost like photocopy quality and was difficult to read. The whole point of purchasing such an expensive text is to have it in your hands without the strain of staring at a computer screen. Elsevier did a downright crappy job with the new version (not the old maroon one).
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