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| Symmetry and the Monster: One of the Greatest Quests of Mathematics | 
 enlarge | Author: Mark Ronan
Publisher: OUP Oxford
Category: Book
List Price: £8.99
Buy New: £3.55
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Avg. Customer Rating:  2 reviews
Sales Rank: 21001
Media: Paperback
Edition: New Ed
Number Of Items: 1
Pages: 272
Shipping Weight (lbs): 0.5
Dimensions (in): 7.6 x 5 x 0.8
ISBN: 0192807234
Dewey Decimal Number: 500
EAN: 9780192807236
ASIN: 0192807234
Publication Date: July 26, 2007
Availability: Usually dispatched within 1-2 business days
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| Customer Reviews:
Aptly titled January 1, 2008
12 out of 13 found this review helpful
Popularisations of mathematics are difficult to do well because you need to have a fair amount of the language of maths under your belt before you can follow the arguments. To that end, putting across the ideas in a non-technical manner needs a skill that few possess.
Ronan does a sparkling job here. The basic concepts of group theory are glossed over without going into tedious detail (and despite my affection for this particular branch of maths, I consider a lot of the detail *extremely* tedious), and once the story gets under way, the ideas are brought forward in a flowing, almost breathlessly excited, style which is infectious.
The author himself was involved in this stupendous quest of classification, so he knows what he's talking about.
One of the aspects of such a popular account is the bringing to life of the people behind the name, many of whom I'd never heard, quite a few of whom I'd already encountered in my travels through an undergrad degree in mathematics. Neither does the author shrink from confronting the political circumstances in which certain of the mathematicians were working, which adds a further dimension of interest to the tale.
The first thing one wants to do having read this book is to go and find out the mathematics behind it all. Be warned: it is difficult area to get to grips with. The basics are simple but the detail is diabolical.
Beauty and the Beast April 19, 2007
29 out of 31 found this review helpful
They always say "mathematics is not a spectator sport", and this is true, but in reading this book, I felt I was as close as possible to being an enthralled spectator at a great game that I would have little or no idea how to play myself. I almost literally couldn't put the book down.
The author takes great pains to make the subject as simple as possible, but not simpler (to echo the quotation from Einstein which heads the penultimate chapter). Such a compromise cannot be perfect, and as someone who knows a little maths, I found it mildly irritating to have to replace each occurrence of the phrase "atom of symmetry" with "simple group", rather than have the metaphor explained once, and the correct term used thereafter. On the other hand, I was quite happy to keep reading about "cross-sections", rather than have to keep stumbling over the phrase "involution centralizer" and be thereby reminded of how little I know about group theory! If I would take issue with any of the author's choices of vocabulary, it is his use of the term "deconstruction" instead of "decomposition", which is an equally familiar word, with one less letter (but one more syllable), and it is one which doesn't cause the susceptible reader to imagine that Jacques Derrida was somehow involved in the project. (God forbid!)
Each reader, at whatever level of knowledge, will have his or her own preference as to the appropriate amount of technical vocabulary to use, and the author has clearly struck a considered balance in this respect. The result is, I think, an easy read even for complete non-mathematicians, but which still contains plenty to fascinate even the professional who is not a specialist in this most specialised of areas.
It is, indeed, a specialised field; the classification of finite simple groups is not your average piece of mathematical research. I was already aware of the length of the famous (notorious?) Feit-Thompson "odd order paper", but was not aware that, at 255 pages (occupying an entire issue of a mathematical journal), this was a mere bagatelle compared to some of the prodigiously (monstrously?) long papers and typescripts (some not yet published, and never likely to be) which played an essential role in this heroic project. One shivers when one reads of the fears of those involved that the dismayingly formidable techniques required for this area of mathematics - and apparently for it alone - would not be passed on orally to future generations, and the understanding of them would be lost, like that of hieroglyphics. (A second vast project, the Revision of the Classification, is still underway to try to ensure that this does not happen.)
But often the best way to understand something is to look at extreme cases, and I think it is no accident that this is the best popularisation of mathematics that I have read. Something of the soul of mathematics is laid bare here.
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