The theory of.partitions, andrews

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 Cited by: Textbook Recommended text: Andrews, George. The Theory of Partitions. Encyclopedia of Mathematics and its Applications, Vol. 2. G.-C. Rota, ed. Abstract. Since the 18th century the theory of partitions has interested some of the best minds. While it seems to have little or no practical application, it has, in a certain sense, just the right degree of difficulty. The problems are far from trivial, but at the same time they Author: Emil Grosswald.

A further circumstance of great help in this study is the fact that the generating functions which occur in the theory of partitions and functions closely related to them belong to two important classes of functions, namely the theta functions and the modular functions, both of which have received much attention and have been most thoroughly. This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Author: Dominique Foata. Publisher: Springer Science Business Media. ISBN: Integer Partitions. George E. Andrews, Kimmo Eriksson. Cambridge University Press, - Mathematics - pages. 0 Reviews. The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make.

Abstract. Since the 18th century the theory of partitions has interested some of the best minds. While it seems to have little or no practical application, it has, in a certain sense, just the right degree of difficulty. The problems are far from trivial, but at the same time they are not so hard as to discourage any attempt at a solution. Theory of Partitions» by George E. Andrews. You can borrow that from me at some point. •The photocopies from James Tattersall book should be sufficient to do a. George E. Andrews, Kimmo Eriksson. Cambridge University Press, - Mathematics - pages. 0 Reviews. The theory of integer partitions is a subject of enduring interest. A major.