
Advances in Combinatorial Mathematics
Proceedings of the Waterloo Workshop in Computer Algebra 2008
Springer (Publisher)
Published on 19. November 2009
Book
Hardback
XI, 174 pages
978-3-642-03561-6 (ISBN)
Description
It is a pleasure for me to have the opportunity to write the foreword to this volume, which is dedicated to Professor Georgy Egorychev on the occasion of his seventieth birthday. I have learned a great deal from his creative and important work, as has the whole world of mathematics. From his life's work (so far) in having made d- tinguished contributions to ?elds as diverse as the theory of permanents, Lie groups, combinatorial identities, the Jacobian conjecture, etc., let me comment on just two of the most important of his research areas. The permanent of an nxn matrix A is Per(A)= a a ...a , (1) ? 1,i 2,i n,i 1 2 n extended over the n! permutations{i ,...,i} of{1,2,...,n}. Thus, the permanent 1 n is "like the determinant except for dropping the sign factors from the terms." H- ever by dropping those signs, one loses almost all of the friendly characteristics of determinants, such as the fact that det(AB)= det(A)det(B), the invariance under elementary row and column operations, and so forth. The permanent is a creature of multilinear algebra, rather than of linear algebra, and is much crankier to deal with in virtually all of its aspects, both theoretical and algorithmic.
More details
Edition
2010 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 174 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
488 gr
ISBN-13
978-3-642-03561-6 (9783642035616)
DOI
10.1007/978-3-642-03562-3
Schweitzer Classification
Other editions
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Ilias S. Kotsireas | Eugene V. Zima
Advances in Combinatorial Mathematics
Proceedings of the Waterloo Workshop in Computer Algebra 2008
Book
11/2014
Springer
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Ilias S. Kotsireas | Eugene V. Zima
Advances in Combinatorial Mathematics
Proceedings of the Waterloo Workshop in Computer Algebra 2008
E-Book
11/2009
1st Edition
Springer
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Content
Method of Coefficients: an algebraic characterization and recent applications.- Partitions With Distinct Evens.- A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings.- On multivariate Newton-like inequalities.- Niceness theorems.- Method of Generating Differentials.- Henrici's Friendly Monster Identity Revisited.- The Automatic Central Limit Theorems Generator (and Much More!).