Combinatory Analysis: The partition of numbers ; A new basis of the theory of partitions

Combinatory Analysis: The partition of numbers ; A new basis of the theory of partitions PDF Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 360

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Combinatory Analysis

Combinatory Analysis PDF Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 376

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Combinatory Analysis

Combinatory Analysis PDF 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.

Combinatory analysis

Combinatory analysis PDF Author: Percy Alexander MacMahon
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 370

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The Theory of Partitions

The Theory of Partitions PDF 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.

Integer Partitions

Integer Partitions PDF Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521600903
Category : Mathematics
Languages : en
Pages : 156

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Book Description
Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.

George E. Andrews 80 Years of Combinatory Analysis

George E. Andrews 80 Years of Combinatory Analysis PDF Author: Krishnaswami Alladi
Publisher: Springer Nature
ISBN: 3030570509
Category : Mathematics
Languages : en
Pages : 810

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Book Description
This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics. In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area. The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt. Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection. In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”. This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.

The Mathematics Teacher

The Mathematics Teacher PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 476

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Combinatorial Number Theory

Combinatorial Number Theory PDF 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.

Analytic Combinatorics

Analytic Combinatorics PDF Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825

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Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.