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The Theory of Partitions (Encyclopedia of Mathematics and its Applications), by George E. Andrews
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This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.
- Sales Rank: #1248489 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1998-07-28
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .63" w x 5.98" l, .86 pounds
- Binding: Paperback
- 272 pages
- Used Book in Good Condition
Review
'A good introduction to a fascinating subject ... a very pleasant book to read.' Richard Askley, Bulletin of the AMS
'There is no doubt that this book will continue to serve as a basic and indispensable source of information for everyone interested in this fascinating subject.' European Mathematical Society
Most helpful customer reviews
36 of 36 people found the following review helpful.
Basic reference on partitions and q-series
By Reader
This is *the* classic and most essential reference on the theory of partitions and related q-series written by the leading authority on the subject. It requires almost no technical prerequisites, starts from scratch, and proceeds in a very clear and orderly manner towards some of the more elaborate aspects of the subject. If you (plan to) work on this subject, buy it.
The book was written in 1976, and as such does not cover the more recent developments, though the bibliography has been updated (to a limited degree) for the current 1998 paperback edition. However, after all these years, it remains *the* introduction to the subject (with the possible exception of chapter 14 on computational methods, which is definitely outdated), and can be supplemented only by Gaspar and Rahman's 'Basic Hypergeometric Series'. I taught a higher undergraduate level course based on chapters 1, 2, 3, 7 and 9, and my students definitely found these chapters to be highly readable.
My one and only complaint is to Cambridge University Press: Dover has shown that paperbacks can be produced in such a way that they can be opened completely flat without being damaged, and quite cheaply too. Why can't you adopt the same technology?
9 of 21 people found the following review helpful.
A Classic
By A Customer
This is the bible for the theory of partitions
0 of 0 people found the following review helpful.
A Must
By Dr. Harald Schoepf
A great book about a fundamental topic!
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