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Percy Alexander MacMahon: Number theory, invariants, and applications

Percy Alexander MacMahon: Number theory, invariants, and applications PDF Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992

Book Description


Percy Alexander MacMahon: Number theory, invariants, and applications

Percy Alexander MacMahon: Number theory, invariants, and applications PDF Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992

Book Description


Percy Alexander MacMahon: Combinatorics

Percy Alexander MacMahon: Combinatorics PDF Author: Percy Alexander MacMahon
Publisher: MIT Press (MA)
ISBN:
Category : Mathematics
Languages : en
Pages : 1478

Book 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 Erdos, Einar Hille, Charles Loewner, George Polya, 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 afterthe 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 Analysisalone 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.

Books in Series

Books in Series PDF Author:
Publisher:
ISBN:
Category : Monographic series
Languages : en
Pages : 1404

Book Description
Vols. for 1980- issued in three parts: Series, Authors, and Titles.

International Catalogue of Scientific Literature [1901-14].

International Catalogue of Scientific Literature [1901-14]. PDF Author:
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 828

Book Description


Books in Series, 1876-1949

Books in Series, 1876-1949 PDF Author: R.R. Bowker Company
Publisher: New York : R.R. Bowker
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 1390

Book Description


Books in Print

Books in Print PDF Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2432

Book Description


International Catalogue of Scientific Literature

International Catalogue of Scientific Literature PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2482

Book Description


International Catalogue of Scientific Literature, 1901-1914

International Catalogue of Scientific Literature, 1901-1914 PDF Author:
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 250

Book Description


Subject Guide to Books in Print

Subject Guide to Books in Print PDF Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2476

Book Description


Journal of the Indian Institute of Science

Journal of the Indian Institute of Science PDF Author: Indian Institute of Science, Bangalore
Publisher:
ISBN:
Category : Chemistry, Organic
Languages : en
Pages : 836

Book Description