Product Description
This first volume of the collected papers of MacMahon is a member of the series Mathematicians of Our Time and takes its place among the previously published collections of the work of Paul Erdös, Einar Hille, Charles Loewner, George Pólya, Hans Rademacher, Stanislaw Ulam, Norbert Wiender, and Oscar Zariski. Gian-Carlo Rota, Professor of Mathematics at MIT, is founding editor of the series.

George E. Andrews, the editor of this and a subsequent volume that together contain MacMahon's major papers, writes that "there are several compelling reasons for publishing the Collected Papers of Percy Alexander MacMahon (1854-1929):

"First, MacMahon's researches in combinatorics were ahead of his time. In studying the literature of MacMahon's day, we find that while MacMahon was a prolific writer (as these Collected Papers confirm), his discoveries generated little work by others on combinatorics. Within the past twenty years, however, combinatorics has undergone a remarkable renaissance, and a random check through the Science Citation Index indicates clearly that MacMahon's work is no longer neglected.

"Second, well over twenty-five percent of MacMahon's papers appeared after the publication of his historic two volume work, Combinatory Analysis |1915, 1916|.... This later work includes his extensive researches on determinants, his book and papers on repeating patterns, and numerous contributions to combinatorics, notably his enumeration of the partitions of a multipartite number. Furthermore, less than twenty percent of all his papers are referred to in Combinatory Analysis; the impact of Combinatory Analysis alone on the contemporary scientific community suggests the importance of publishing all MacMahon's papers...."

The papers in this first volume are grouped by subject area: symmetric functions (18 papers), the Master Theorem (2 papers), permutations (9 papers), compositions and Simon Newcomb's problem (4 papers), perfect partitions (4 papers), distributions upon a chess board and Latin Squares (3 papers), multipartite numbers (5 papers), partitions (6 papers), partition analysis (9 papers), and plane and solid partitions (4 papers). This sequence of topics closely parallels the thematic development of MacMahon's Combinatory Analysis.

Each topical group is preceded by an introduction and commentary that relates the papers to contemporary developments, a summary of each of the papers, and in two chapters, additional commentary in the form of related papers by other mathematicians, namely, P. Hall and D. E. Littlewood. ... Read more

Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more

Product Description
The book has no illustrations or index. It may have numerous typos or missing text. However, purchasers can download a free scanned copy of the original rare book from the publisher's website (GeneralBooksClub.com). You can also preview excerpts of the book there. Purchasers are also entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Original Publisher: Cambridge [Eng.] The University press; Publication date: 1921; Subjects: Mathematical recreations; Games / Puzzles; Games / Role Playing ... Read more

Product Description
Originally published in 1921.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

Product Description
Originally published in 1920.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

Product Description
This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. ... Read more

Product Description
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.'' ... Read more

Product Description
Volume: 1Publisher: Cambridge University PressSubjects: CombinationsNumber theoryPartitions (Mathematics)PermutationsNotes: This is an OCR reprint. There may be typos or missing text. There are no illustrations or indexes.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there. ... Read more

Product Description
The book has no illustrations or index. It may have numerous typos or missing text. However, purchasers can download a free scanned copy of the original rare book from the publisher's website (GeneralBooksClub.com). You can also preview excerpts of the book there. Purchasers are also entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Original Publisher: Cambridge [Eng.] The University press; Publication date: 1921; Subjects: Mathematical recreations; Games / Puzzles; Games / Role Playing ... Read more

Product Description

Product Description
An Unabridged Printing Of Volume I, To Include: Elementary Theory - Connexion With The Theory Of Distributions - The Distribution Into Parcels And Groups In General - The Operators Of The Theory Of Distributions - Applications Of The Operators d And D - The Theory Of Separations - Generalization Of Girard's Formula - The Differential Operators Of The Theory Of Separations - A Calculus Of Binomial Coefficients - The Theory Of Three Identities - The Enumeration Of Permutations - The Theory Of Displacements - Other Applications Of The Master Theorem - Lattice Permutations - The Indices Of Permutations - Unipartite Numbers - Multipartite Numbers The Graphical Representation Of The Compositions Of Tripartite And Multipartite Numbers - Simon Newcomb's Problem - Generalization Of The Foregoing Theory - Distributions Upon A Chessboard, To Which Is Prefixed A Chapter On Perfect Partitions - Theory Of The Perfect Partitions Of Numbers - Arrangements Upon A Chessboard - The Theory Of The Latin Square - Etc, Etc. - Tables ... Read more

Product Description
Originally published in 1915-16.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

Product Description
Volume: 2Publisher: Cambridge University PressSubjects: CombinationsNumber theoryPartitions (Mathematics)PermutationsNotes: This is an OCR reprint. There may be typos or missing text. There are no illustrations or indexes.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there. ... Read more

Product Description
Originally published in 1915-16.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more