Andrews, George E. 1938
Overview
Works:  133 works in 422 publications in 3 languages and 8,733 library holdings 

Genres:  Conference proceedings Biography 
Roles:  Author, Editor, Honoree, Thesis advisor, Author of introduction 
Classifications:  QA241, 512.73 
Publication Timeline
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Most widely held works about
George E Andrews
 The selected works of George E. Andrews : (with commentary) by George E Andrews( Book )
Most widely held works by
George E Andrews
The theory of partitions by
George E Andrews(
Book
)
35 editions published between 1973 and 2003 in English and Russian and held by 957 WorldCat member libraries worldwide
Discusses mathematics related to partitions of numbers into sums of positive integers
35 editions published between 1973 and 2003 in English and Russian and held by 957 WorldCat member libraries worldwide
Discusses mathematics related to partitions of numbers into sums of positive integers
Number theory by
George E Andrews(
Book
)
27 editions published between 1971 and 2012 in English and held by 780 WorldCat member libraries worldwide
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativitydivisibility, quadratic congruences, additivity, and more
27 editions published between 1971 and 2012 in English and held by 780 WorldCat member libraries worldwide
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativitydivisibility, quadratic congruences, additivity, and more
Special functions by
George E Andrews(
Book
)
23 editions published between 1999 and 2013 in English and German and held by 630 WorldCat member libraries worldwide
"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."BOOK JACKET
23 editions published between 1999 and 2013 in English and German and held by 630 WorldCat member libraries worldwide
"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."BOOK JACKET
Ramanujan revisited : proceedings of the centenary conference, University of Illinois at UrbanaChampaign, June 15, 1987 by Ramanujan Centenary Conference $ (1987 : University of Illinois at UrbanaChampaign)(
Book
)
15 editions published between 1988 and 1989 in English and held by 468 WorldCat member libraries worldwide
15 editions published between 1988 and 1989 in English and held by 468 WorldCat member libraries worldwide
Qseries : their development and application in analysis, number theory, combinatorics, physics, and computer algebra by
George E Andrews(
Book
)
13 editions published in 1986 in English and held by 351 WorldCat member libraries worldwide
13 editions published in 1986 in English and held by 351 WorldCat member libraries worldwide
Percy Alexander MacMahon : collected papers by
Percy Alexander MacMahon(
Book
)
6 editions published between 1978 and 1986 in English and held by 311 WorldCat member libraries worldwide
Profiles English mathematician Percy Alexander MacMahon (18541929), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. He worked on invariants and published a book on mathematical recreations
6 editions published between 1978 and 1986 in English and held by 311 WorldCat member libraries worldwide
Profiles English mathematician Percy Alexander MacMahon (18541929), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. He worked on invariants and published a book on mathematical recreations
Integer partitions by
George E Andrews(
Book
)
10 editions published in 2004 in English and held by 290 WorldCat member libraries worldwide
"The aim of this introductory textbook is to provide an accessible and wideranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints."BOOK JACKET
10 editions published in 2004 in English and held by 290 WorldCat member libraries worldwide
"The aim of this introductory textbook is to provide an accessible and wideranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints."BOOK JACKET
The Continued fractions found in the unorganized portions of Ramanujan's notebooks by
George E Andrews(
Book
)
13 editions published in 1992 in English and held by 246 WorldCat member libraries worldwide
13 editions published in 1992 in English and held by 246 WorldCat member libraries worldwide
The Rademacher legacy to mathematics : the centenary conference in honor of Hans Rademacher, July 2125, 1992, the Pennsylvania
State University by Hans Rademacher Centenary Conference$ (1992 : Pennsylvania State University)(
Book
)
14 editions published in 1994 in English and held by 230 WorldCat member libraries worldwide
14 editions published in 1994 in English and held by 230 WorldCat member libraries worldwide
Ramanujan's lost notebook by
George E Andrews(
Book
)
6 editions published in 2005 in English and held by 225 WorldCat member libraries worldwide
6 editions published in 2005 in English and held by 225 WorldCat member libraries worldwide
Generalized Frobenius partitions by
George E Andrews(
Book
)
10 editions published in 1984 in English and held by 216 WorldCat member libraries worldwide
10 editions published in 1984 in English and held by 216 WorldCat member libraries worldwide
On the general RogersRamanujan theorem by
George E Andrews(
Book
)
12 editions published in 1974 in English and held by 201 WorldCat member libraries worldwide
12 editions published in 1974 in English and held by 201 WorldCat member libraries worldwide
The Andrews festschrift : seventeen papers on classical number theory and combinatorics by
Dominique Foata(
Book
)
6 editions published in 2001 in English and held by 132 WorldCat member libraries worldwide
This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general qcalculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus
6 editions published in 2001 in English and held by 132 WorldCat member libraries worldwide
This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general qcalculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus
Ramanujan's lost notebook by
George E Andrews(
Book
)
52 editions published between 2005 and 2013 in English and held by 118 WorldCat member libraries worldwide
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this publication contains copies of unpublished manuscripts in the Oxford library, in particular, his famous unpublished manuscript on the partition and taufunctions; fragments of both published and unpublished papers; miscellaneous sheets; and Ramanujan's letters to G. H. Hardy, written from nursing homes during Ramanujan's final two years in England. This volume contains accounts of 442 entries (counting multiplicities) made by Ramanujan in the aforementioned publication. The present authors have organized these claims into eighteen chapters, containing anywhere from two entries in Chapter 13 to sixtyone entries in Chapter 17. Most of the results contained in Ramanujan's Lost Notebook fall under the purview of qseries. These include mock theta functions, theta functions, partial theta function expansions, false theta functions, identities connected with the RogersFine identity, several results in the theory of partitions, Eisenstein series, modular equations, the RogersRamanujan continued fraction, other qcontinued fractions, asymptotic expansions of qseries and qcontinued fractions, integrals of theta functions, integrals of qproducts, and incomplete elliptic integrals. Other continued fractions, other integrals, infinite series identities, Dirichlet series, approximations, arithmetic functions, numerical calculations, diophantine equations, and elementary mathematics are some of the further topics examined by Ramanujan in his lost notebook
52 editions published between 2005 and 2013 in English and held by 118 WorldCat member libraries worldwide
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this publication contains copies of unpublished manuscripts in the Oxford library, in particular, his famous unpublished manuscript on the partition and taufunctions; fragments of both published and unpublished papers; miscellaneous sheets; and Ramanujan's letters to G. H. Hardy, written from nursing homes during Ramanujan's final two years in England. This volume contains accounts of 442 entries (counting multiplicities) made by Ramanujan in the aforementioned publication. The present authors have organized these claims into eighteen chapters, containing anywhere from two entries in Chapter 13 to sixtyone entries in Chapter 17. Most of the results contained in Ramanujan's Lost Notebook fall under the purview of qseries. These include mock theta functions, theta functions, partial theta function expansions, false theta functions, identities connected with the RogersFine identity, several results in the theory of partitions, Eisenstein series, modular equations, the RogersRamanujan continued fraction, other qcontinued fractions, asymptotic expansions of qseries and qcontinued fractions, integrals of theta functions, integrals of qproducts, and incomplete elliptic integrals. Other continued fractions, other integrals, infinite series identities, Dirichlet series, approximations, arithmetic functions, numerical calculations, diophantine equations, and elementary mathematics are some of the further topics examined by Ramanujan in his lost notebook
Topics in number theory : in honor of B. Gordon and S. Chowla by Topics in Number Theory Conference(
Book
)
5 editions published in 1999 in English and held by 99 WorldCat member libraries worldwide
"This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers."Jacket
5 editions published in 1999 in English and held by 99 WorldCat member libraries worldwide
"This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers."Jacket
Partitions : yesterday and today by
George E Andrews(
Book
)
3 editions published in 1979 in English and held by 76 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 76 WorldCat member libraries worldwide
Number theory, invariants, and applications by
Percy Alexander MacMahon(
Book
)
3 editions published in 1986 in English and held by 62 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 62 WorldCat member libraries worldwide
The Unreasonable effectiveness of number theory(
Book
)
8 editions published between 1991 and 1992 in English and held by 35 WorldCat member libraries worldwide
8 editions published between 1991 and 1992 in English and held by 35 WorldCat member libraries worldwide
The selected works of George E. Andrews : (with commentary) by
George E Andrews(
Book
)
4 editions published in 2013 in English and held by 12 WorldCat member libraries worldwide
4 editions published in 2013 in English and held by 12 WorldCat member libraries worldwide
Ramanujan's Lost Notebook by
George E Andrews(
Book
)
4 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
"In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on qseries. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems."Publisher's description
4 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
"In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on qseries. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems."Publisher's description
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Related Identities
 Ramanujan Aiyangar, Srinivasa 18871920 Honoree Author Dedicatee
 Berndt, Bruce C. 1939 Contributor Editor
 Askey, Richard Editor
 Roy, Ranjan 1948
 MacMahon, Percy Alexander 18541929 Author
 American Mathematical Society
 Eriksson, Kimmo 1967
 Bressoud, David M. 1950 Editor
 Parson, L. Alayne 1947 Editor
 Rademacher, Hans 18921969 Honoree
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Associated Subjects
Automorphic forms Combinatorial analysis Continued fractions Discontinuous functions Eisenstein series Forms, Modular Fourier analysis Functions Functions, Special Functions, Theta Geometry, Algebraic Global analysis (Mathematics) Hypergeometric functions Hypergeometric series India Invariants Mathematical analysis Mathematicians Mathematics Number theory Partitions (Mathematics) qseries Ramanujan Aiyangar, Srinivasa, Sequences (Mathematics)
Alternative Names
Andrews, G. E.
Andrews, G. E. 1938
Andrews, George 1938
Andrews, George W
Andrews, George W. Eyre 1938
Ėndrjus, G. 1938
ndrs, G.
Eyre Andrews, George W. 1938
George Andrews amerikansk matematikar
George Andrews amerikansk matematiker
George Andrews mathmaticien amricain
George Andrews USamerikanischer Mathematiker
جورج اندروز ریاضیدان آمریکایی
アンドリュース, ジョージ
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