Bates Books
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Just You and Me .... What a fabulous bookReview Date: 2001-11-14
A sweet story with beautiful illustrationsReview Date: 2000-07-17

Used price: $31.96

profoundly important mathematicsReview Date: 2006-10-27
The nature of high dimensions: a geometric insightReview Date: 2000-02-26
Among the additions, the bulky new chapter 3 1/2+ stands out, dealing with the phenomenon of concentration of measure on high-dimensional structures. This is a relatively recent discovery of modern analysis and geometry, tracing its origin to the work of Paul Levy and especially Vitali Milman. The essence of the phenomenon is that on many multidimensional structures, every `nice' function is constant with high probability. The manifestations of the phenomenon are many - from geometric functional analysis (Dvoretzky theorem) through information theory (blowing-up lemma) and probability (law of large numbers) to graph theory (superconcentrators) and topological dynamics. As Gromov stresses in his book, even deeper aspects of the concentration phenomenon have been long since discovered and are constantly explored in statistical physics in the context of phase transitions of various kind, and some of the first known examples where phase transitions appear in the context of geometry have been discovered by Gromov himself, e.g. for hyperbolic groups. Finding and exploring more instances of phase transitions in mathematics might well become a unifying heuristic principle across a large number of disciplines.
The mathematical setting for dealing with concentration and related issues is the concept of a metric space equipped with finite measure, what Gromov calls an mm-space. Apart from concrete objects (such as for instance spheres and cubes), there are `higher-level' examples of mm-spaces, for instance those whose elements are isomorphism classes of mathematical objects themselves (e.g. Riemanning manifolds or finitely generated groups). This leads to a probabilistic treatment of such objects. Of course Gromov's strength is that his treatment is always concrete and he never theorizes without having particular objects and applications in mind.
It is quite safe to claim that the full range and power of applications of the interaction between metric and measure are yet to be discovered, which is what makes this book so important. It is rich in open questions and suggested new research directions, but more than that, it helps the reader to develop a good intuitive feeling of where things are going these days, what things ought to be done, and what constitutes proper mathematics.
Even though I unexpectedly found myself among the privileged ones who received a copy of the book as a gift from the author, I would have certainly purchased it otherwise, as I firmly believe that every mathematical library in the world, be it that of a top-class University or just a modest, lovingly selected office collection of a humble mathematician, will be wanting without a copy of the monograph under review, which might well become one of the most important books in mathematical sciences for the early XXIst century.

Used price: $9.19

The kind of life I wish I led!Review Date: 2004-06-01
The greatest historical adventure I've read in years!Review Date: 2003-11-19

A Gem of a BookReview Date: 2008-10-14
Cycles and Stock MaketReview Date: 2000-07-04

Used price: $1.49
Collectible price: $11.00

easier transitionReview Date: 2006-11-04
Wonderful pictures, simple story - great for preschoolersReview Date: 2007-06-07

Used price: $11.95

An amazingly detailed chronicle of the 1 Suffolk infantryReview Date: 2002-12-08
An Outstanding Addition to any LibraryReview Date: 2002-12-09
It is really three books. Each could be a book by itself and well worth the read! The first is Tom's own. He discovered and was intrigued by Corporal Sidney Bates (same last name but not related) whose single-handed efforts, firing a Bren gun from the hip, stopped an attack by panzer grenadiers after D-day. For this he won The Victoria Cross, ". . . his sovereign's highest decoration for valour . . . " Tom's search is for the exact place where Sidney gave his all. Tom, himself a WWII veteran in Burma, was helped by two Sword survivors and many French locals who ". . . gladly gave their liberators the 'freedom of their fields' in return for the blood their comrades had spilt there."
An interesting aside is that the book is written in English and French side by side in two columns per page. It is done this way as a tribute to a very brave French woman, Madam Lenauld whose story is told in the second book. Her father was the gallant French mayor maligned in the Movie "The Longest Day."
The third book is a detailed battlefield account of the 1st Battalion, The Suffolk Regiment who, having survived Dunkirk, landed at Sword.
All three are worthy of being stand alone books but together, they make an outstanding addition to any library.

Used price: $12.89

Great sourcebook! Tremendously useful.Review Date: 2000-02-04
This book is definitely worth the purchase price- it will enrich virtually any Wraith chronicle.
Mediums done rightReview Date: 1999-11-11

Outstanding bookReview Date: 1998-05-26
Invaluable Resource of information!Review Date: 1998-08-03
Used price: $0.37

indispensalbe. Great for nurse practitioners.Review Date: 1999-10-06
Handy!Review Date: 1997-11-21

ContentsReview Date: 2008-09-14
Excellent book many ideasReview Date: 2008-07-05
Also are fine diagrams in how to cut the eyes, feets and other things.
the best and crative pompom idea book I have seen so far.
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