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Integral Representation And The Computation Of Combinatorial Sums


Author : G. P. Egorychev
language : en
Publisher: American Mathematical Soc.
Release Date : 1984-12-31

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This monograph should be of interest to a broad spectrum of readers: specialists in discrete and continuous mathematics, physicists, engineers, and others interested in computing sums and applying complex analysis in discrete mathematics. It contains investigations on the problem of finding integral representations for and computing finite and infinite sums (generating functions); these arise in practice in combinatorial analysis, the theory of algorithms and programming on a computer, probability theory, group theory, and function theory, as well as in physics and other areas of knowledge. A general approach is presented for computing sums and other expressions in closed form by reducing them to one-dimensional and multiple integrals, most often to contour integrals.

Advances In Combinatorial Mathematics


Author : Ilias S. Kotsireas
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-06

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The Second Waterloo Workshop on Computer Algebra was dedicated to the 70th birthday of combinatorics pioneer Georgy Egorychev. This book of formally-refereed papers submitted after that workshop covers topics closely related to Egorychev’s influential works.

Embeddings And Immersions


Author : Masahisa Adachi
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01

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This work covers fundamental techniques in the theory of C (alt 133) embeddings and C (alt 133) - immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on C (alt 133)- embeddings and C (alt 133) manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of C (alt 133) embeddings by isotopy and is extended by Gromov's convex integration theory. Finally, as an application of Gromov's work, Adachi introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is Adachi's work with Landweber on the integrability of almost complex structures on open manifolds.

Notices Of The American Mathematical Society


Author :
language : en
Publisher:
Release Date : 1985

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Abpr


Author :
language : en
Publisher:
Release Date : 1984

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Handbook Of Combinatorics


Author : Ronald L. Graham
language : en
Publisher:
Release Date : 1995

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Zeta And Q Zeta Functions And Associated Series And Integrals


Author : H. M. Srivastava
language : en
Publisher: Elsevier
Release Date : 2012

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Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions