Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992
Book Description
Percy Alexander MacMahon: Number theory, invariants, and applications
Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992
Book Description
Percy Alexander MacMahon: Combinatorics
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.
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
Author:
Publisher:
ISBN:
Category : Monographic series
Languages : en
Pages : 1404
Book Description
Vols. for 1980- issued in three parts: Series, Authors, and Titles.
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].
Books in Series, 1876-1949
Author: R.R. Bowker Company
Publisher: New York : R.R. Bowker
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 1390
Book Description
Publisher: New York : R.R. Bowker
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 1390
Book Description
Books in Print
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2432
Book Description
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2432
Book Description
International Catalogue of Scientific Literature
International Catalogue of Scientific Literature, 1901-1914
Subject Guide to Books in Print
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2476
Book Description
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2476
Book Description
Journal of the Indian Institute of Science
Author: Indian Institute of Science, Bangalore
Publisher:
ISBN:
Category : Chemistry, Organic
Languages : en
Pages : 836
Book Description
Publisher:
ISBN:
Category : Chemistry, Organic
Languages : en
Pages : 836
Book Description