Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) | 
 enlarge | Author: Peter D. Lax
Publisher: Wiley-Interscience
Category: Book
List Price: $125.00
Buy New: $73.18
You Save: $51.82 (41%)
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Rating:  4 reviews
Sales Rank: 581195
Media: Hardcover
Pages: 608
Number Of Items: 1
Shipping Weight (lbs): 2.1
Dimensions (in): 9.3 x 6.4 x 1.3
ISBN: 0471556041
Dewey Decimal Number: 515
EAN: 9780471556046
Publication Date: April 4, 2002
Availability: Usually ships in 1-2 business days
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Product Description
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.
* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.
* Includes an appendix on the Riesz representation theorem.
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| Customer Reviews:
 Brings the subject to life! August 2, 2002
Palle E T Jorgensen (Iowa City, Iowa United States)
31 out of 35 found this review helpful
The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with
seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. It gained from there because of its many sucess stories,- in proving new theorems, in unifying old ones, in offering a framework for quantum theory, for dynamical systems, and for partial differential equations. The Journal of Functional Analysis, starting in the 1960ties, broadened the subject, reaching almost all branches of science, and finding functional analytic flavor
in theories surprisingly far from the original roots of the subject. Peter Lax has himself,-- alone and with others, shaped some of greatest successes of the period, right up to the present. That is in the book!! And it offers an upbeat outlook for the future. It has been tested in the class room,-it is really user-friendly. At the end of each chapter P Lax ofers personal recollections;-- little known stories of how several of the pioneers in the subject have been victims,- in the 30ties and the 40ties, of Nazi atrocities. The writing is crisp and engaged,- the exercises are great;- just
right for students to learn from. This is the book to teach from.
Functional analysis February 22, 2006
Wolf Kohn (Seattle WA.)
10 out of 11 found this review helpful
This is a very elegant text. The analysis theorems and proofs are well explained and connected with operator theory. The exercises are well chosen to further the reader's understanding of the subject.
I strongly recommend this book both as a class text and as a refence volume.
Excellent February 20, 2004
17 out of 29 found this review helpful
Peter D Lax is one of the great mathematicians of the 2nd half of the 20th century. Buy this book if only to have it on your bookshelf. After a long day of suffering fools and putting up with the latest insanities of your university administrators, leaf through Lax's book to recover. This is mathematics at its best. What better use can we put mathematics to, than to help us regain our sanity in a world that's gone mad.
 typical expensive and unenlightening math text November 7, 2006
reader
7 out of 25 found this review helpful
This text is more suited as a review for someone
who already knows the results. There is very
little in the way of motivation for the various
definitions.
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