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Author: Percy Alexander Macmahon
Publisher:
ISBN:
Category : Partitions (Mathematics)
Languages : en
Pages : 208
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Book Description
Author: Percy Alexander Macmahon
Publisher:
ISBN:
Category : Partitions (Mathematics)
Languages : en
Pages : 208
Get Book Here
Book Description
Author: David M. Bressoud
Publisher: Cambridge University Press
ISBN: 1316582752
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.
Author: Richard P. Stanley
Publisher: Cambridge University Press
ISBN: 1107015421
Category : Mathematics
Languages : en
Pages : 641
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Book Description
Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.
Author: Richard Stanley
Publisher: Cambridge University Press
ISBN: 1009262491
Category : Mathematics
Languages : en
Pages : 801
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Book Description
Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.
Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 360
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Book Description
Author: Percy A. MacMahon
Publisher: Courier Corporation
ISBN: 9780486495866
Category : Mathematics
Languages : en
Pages : 770
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Book Description
Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.
Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521637664
Category : Mathematics
Languages : en
Pages : 274
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Book Description
Discusses mathematics related to partitions of numbers into sums of positive integers.
Author: Bruce Sagan
Publisher: Springer Science & Business Media
ISBN: 1461241081
Category : Mathematics
Languages : en
Pages : 469
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Book Description
In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.
Author: Richard P. Stanley
Publisher: Cambridge University Press
ISBN: 9780521789875
Category : Mathematics
Languages : en
Pages : 600
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Book Description
An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.
Author: Bruce Landman
Publisher: Walter de Gruyter
ISBN: 3110925095
Category : Mathematics
Languages : en
Pages : 501
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Book Description
This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.
