Combinatory Analysis

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Combinatory Analysis, Volumes I and II

Author: Percy A. MacMahon
language: en
Publisher: American Mathematical Society
Release Date: 2001-05-14
By “combinatory analysis”, the author understands the part of combinatorics now known as “algebraic combinatorics”. In this book, the classical results of the outstanding 19th century school of British mathematicians are presented with great clarity and completeness. From the Introduction (1915): “The object of this work is, in the main, to present to mathematicians an account of theorems in combinatory analysis which are of a perfectly general character, and to show the connection between them by as far as possible bringing them together as parts of a general doctrine. It may appeal also to others whose reading has not been very extensive. They may not improbably find here some new points of view and suggestions which may prompt them to original investigation in a fascinating subject … “In the present volume there appears a certain amount of original matter which has not before been published. It involves the author's preliminary researches in combinatory theory which have been carried out during the last thirty years. For the most part it is original work which, however, owes much to valuable papers by Cayley, Sylvester, and Hammond.”
Combinatory Analysis

Author: Percy A. MacMahon
language: en
Publisher: Courier Corporation
Release Date: 2004-07-06
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.
Combinatorial Designs

Author: Douglas R. Stinson
language: en
Publisher: Springer Science & Business Media
Release Date: 2004
"Combinatorial Designs aims to thoroughly develop the most important techniques used for constructing combinatorial designs. The book provides a detailed and clear exposition of the classical core of combinatorial designs, treating the material progressively from simple to more complex. Readers will master various construction techniques, both classic and modern, and will be well prepared to build a vast array of combinatorial designs. The main prerequisites are familiarity with basic abstract algebra, linear algebra and some number theory fundamentals."--BOOK JACKET.