George Andrews
Encyclopedia
George Eyre Andrews is an American mathematician
working in analysis
and combinatorics
. He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University
.
He received his PhD in 1964 at University of Pennsylvania
where his advisor was Hans Rademacher
.
Andrews's contributions include several monographs and over 250 research and popular articles on q-series, special functions
, combinatorics
and applications. He is considered to be the world's leading expert in the theory of integer partitions. In 1976 he discovered Ramanujan's Lost Notebook
. He is highly interested in mathematical pedagogy, and is a vocal critic of the "calculus reform" movement.
Andrews is a member of the National Academy of Sciences
. He was elected a Fellow of the American Academy of Arts and Sciences
in 1997. In 2008 he was elected president
of the American Mathematical Society
. His term commenced in 2009.
His book The Theory of Partitions is the standard reference on the subject of integer partitions.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
working in analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
and combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...
. He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University
Pennsylvania State University
The Pennsylvania State University, commonly referred to as Penn State or PSU, is a public research university with campuses and facilities throughout the state of Pennsylvania, United States. Founded in 1855, the university has a threefold mission of teaching, research, and public service...
.
He received his PhD in 1964 at University of Pennsylvania
University of Pennsylvania
The University of Pennsylvania is a private, Ivy League university located in Philadelphia, Pennsylvania, United States. Penn is the fourth-oldest institution of higher education in the United States,Penn is the fourth-oldest using the founding dates claimed by each institution...
where his advisor was Hans Rademacher
Hans Rademacher
Hans Adolph Rademacher was a German mathematician, known for work in mathematical analysis and number theory.-Biography:...
.
Andrews's contributions include several monographs and over 250 research and popular articles on q-series, special functions
Special functions
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications....
, combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...
and applications. He is considered to be the world's leading expert in the theory of integer partitions. In 1976 he discovered Ramanujan's Lost Notebook
Ramanujan's lost notebook
Srinivasa Ramanujan's lost notebook is the manuscript in which Ramanujan, the great Indian mathematician from Cambridge University, recorded the mathematical discoveries of the last year of his life. It was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the...
. He is highly interested in mathematical pedagogy, and is a vocal critic of the "calculus reform" movement.
Andrews is a member of the National Academy of Sciences
United States National Academy of Sciences
The National Academy of Sciences is a corporation in the United States whose members serve pro bono as "advisers to the nation on science, engineering, and medicine." As a national academy, new members of the organization are elected annually by current members, based on their distinguished and...
. He was elected a Fellow of the American Academy of Arts and Sciences
American Academy of Arts and Sciences
The American Academy of Arts and Sciences is an independent policy research center that conducts multidisciplinary studies of complex and emerging problems. The Academy’s elected members are leaders in the academic disciplines, the arts, business, and public affairs.James Bowdoin, John Adams, and...
in 1997. In 2008 he was elected president
President
A president is a leader of an organization, company, trade union, university, or country.Etymologically, a president is one who presides, who sits in leadership...
of the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
. His term commenced in 2009.
His book The Theory of Partitions is the standard reference on the subject of integer partitions.
Publications
- Number Theory (Dover, 1994, ISBN 0486682528)
- The Theory of Partitions (Cambridge University Press, 1998, ISBN 052163766X)
- Integer Partitions (with Eriksson, Kimmo) (Cambridge University Press, 2004, ISBN 0521841186)
- Ramanujan's Lost Notebook: Part I (with Bruce C. BerndtBruce C. BerndtBruce Carl Berndt is an American mathematician. He attended college at Albion College, graduating in 1961, where he also ran track....
) (Springer, 2005, ISBN 038725529X) - Ramanujan's Lost Notebook: Part II, (with Bruce C. Berndt) (Springer, 2008, ISBN 9780387777658)
- "Special functions" by George Andrews, Richard AskeyRichard AskeyRichard Allen Askey is an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials are an important schematic in organising the theory of special polynomials...
, and Ranjan Roy, Encyclopedia of Mathematics and Its Applications, The University Press, Cambridge, 1999.
External links
- George Andrews's homepage
- Inaugural Biography Article at the National Academy of Sciences.
- The work of George Andrews: a Madison perspective – by Richard AskeyRichard AskeyRichard Allen Askey is an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials are an important schematic in organising the theory of special polynomials...
, in "The Andrews Festschrift (Maratea, 1998)", Sem. Lothar. Combin. vol. 42 (1999), Art. B42b, 24 pp.