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Title: Fourier Analysis on Finite Groups and Applications by Audrey Terras ISBN: 0-521-45718-1 Publisher: Cambridge University Press Pub. Date: 01 May, 1999 Format: Paperback Volumes: 1 List Price(USD): $22.95 |
Average Customer Rating: 3.67 (3 reviews)
Rating: 1
Summary: Quite a disappointment
Comment: I recently bought the book from Amazon. The price is right. This
book is not worth more than $10 and I can think of a couple of
Dover books where my money would have been spent more wisely.
Anyway, if you are an advanced undergraduate student do not start
with this book. If you are a graduate student you will find
plenty of references here but (as far as I can tell) no new
material. If you are a researcher or a practicioner looking for
a good book on this field, I would not recommend this book to you.
Even in the first page there are words that are concatenated
when they shouldn't be (e.g. on p.1 "arguethat",
"dynamicalsystems"), that's not good editing for a book that
is on its 2nd edition. The examples, definitions, exercises etc.
all appear with the same font and the whole book looks like a
plasma of all these ingredients. Note easy to read, at all.
That set me off but, since I had bought the book, I kept reading.
Mind you that I am fairly acquainted with the material and I was
looking for a reference book that relates the subject with
applications. Well, this is not the book!
It touches so briefly on the topics that it refers to that is hardly
of any value other than the fact that it provides some
references. Well ... you know ... there is Google for that.
I was disappointed because the reviews were stellar.
No offense but I strongly disagree.
H. Marmanis, Ph.D.
Rating: 5
Summary: To the point!
Comment: For students and users who need the facts! Perhaps they have
come accross a group problem in programming, in physics, in some course or other, or in a research assignment. Over the years, when teaching, I am often asked by students for directions to the facts of groups(usually finite) and their harmonic analysis.
And too often, I have had to send the poor student
to a multi-volume book set on the general theory. Sure much of it can be specialized to what the case demands. But the user[in e.g., programming, algorithms, fast transforms, error-correction codes, crystals, symmetry, quantum theory, engineering...]
typically isn't ready for the big picture yet, and more often than not, she will need to first look for a gentle introduction--just the facts!-- and written in a delightful style! The one that this author has perfected in her other books. Thanks! Now I do feel good about sending my students to this lovely little book. Great book! -- And gentle on my student's budget too.
Rating: 5
Summary: Great cross-fertilization book
Comment: This is a delightful book that covers broad areas of theoretical and practical mathematics from the standpoint of Group Theory and Fourier Analysis. Although Fourier Analysis is first in the title, I think Finite Groups should come first. The author takes the discrete perspective of traditionally continous functions of classical physics and other applications - which not suprisingly brings finite groups into the picture. This includes the applications of quadratic residues and primitive roots to areas not usally touched by number theory - such as the ceilings of concert halls. This is a fun book, and it doesn't pretend to be comprehensive or complete with regards to its choosen subjects. I'd call the book "A Grand Tour of Finite Groups and Fourier Analysis with Applications" if I were the publisher. The price is suprisingly affordable given the subject where new books usually cost O($100).
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Title: Representations & Characters of Groups by G. D. James, Martin W. Liebeck, Gordon Douglas James, M. W. Liebeck ISBN: 052100392X Publisher: Cambridge University Press Pub. Date: 15 November, 2001 List Price(USD): $42.00 |
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Title: Fourier Analysis on Number Fields (Graduate Texts in Mathematics, 186) by Dinakar Ramakrishnan, Robert J. Valenza ISBN: 0387984364 Publisher: Springer-Verlag Pub. Date: 01 October, 1998 List Price(USD): $59.95 |
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Title: Riemann's Zeta Function by Harold M. Edwards ISBN: 0486417409 Publisher: Dover Publications Pub. Date: 01 June, 2001 List Price(USD): $14.95 |
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Title: Character Theory of Finite Groups by I. Martin Isaacs ISBN: 0486680142 Publisher: Dover Publications Pub. Date: 01 May, 1994 List Price(USD): $12.95 |
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Title: Algebraic Theory of Numbers by Hermann Weyl ISBN: 0691059179 Publisher: Princeton University Press Pub. Date: 20 April, 1998 List Price(USD): $29.95 |
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