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A [[1977]] paper of his discussed a problem in [[Ramsey theory]], and gave a [[large number]] as an upper bound for its solution. This number has since become famous as the largest number ever used in a serious mathematical proof (and is listed in the ''[[Guinness Book of Records]]'' as such), and is now known as [[Graham's number]].
A [[1977]] paper of his discussed a problem in [[Ramsey theory]], and gave a [[large number]] as an upper bound for its solution. This number has since become famous as the largest number ever used in a serious mathematical proof (and is listed in the ''[[Guinness Book of Records]]'' as such), and is now known as [[Graham's number]].


Graham popularised the concept of the [[Erdős number]], named after the highly prolific Hungarian mathematician [[Paul Erdős]] (1913 - 1996). A mathematician's Erdős number is the minimum number of links away from Erdős they are, where mathematician A is linked to mathematician B if they have co-authored a paper. Graham's Erdős number is 1. Not only did he co-author a paper with Erdős, but he was also a good friend. Erdős often stayed with him, and let him look after his mathematical papers and even his money for him.
Graham popularized the concept of the [[Erdős number]], named after the highly prolific Hungarian mathematician [[Paul Erdős]] (1913 - 1996). A mathematician's Erdős number is the minimum number of links away from Erdős they are, where mathematician A is linked to mathematician B if they have co-authored a paper. Graham's Erdős number is 1. Not only did he co-author a paper with Erdős, but he was also a good friend. Erdős often stayed with him, and let him look after his mathematical papers and even his money for him.


Between [[1993]] and [[1994]] Graham has served as the president of the [[American Mathematical Society]]. Graham was also featured in ''[[Ripley's Believe It or Not]]'' for being not only "one of the world's foremost mathematicians", but also "a highly skilled trampolinist and juggler", and past president of the [[International Jugglers Association|International Jugglers Association]].
Between [[1993]] and [[1994]] Graham served as the president of the [[American Mathematical Society]]. Graham was also featured in ''[[Ripley's Believe It or Not]]'' for being not only "one of the world's foremost mathematicians", but also "a highly skilled trampolinist and juggler", and past president of the [[International Jugglers Association|International Jugglers Association]].


In [[2003]], Graham won the [[American Mathematical Society]]'s annual [[Leroy P. Steele Prizes|Steele Prize]] for Lifetime Achievement. The prize was awarded on [[January 16]] that year, at the Joint Mathematics Meetings in [[Baltimore, Maryland|Baltimore]], [[Maryland]]. In [[1999]] he was inducted as a [[Fellow]] of the [[Association for Computing Machinery]]. Graham, prolific mathematician and industrious human being, has won many other prizes over the years; he was one of the laureates of the prestigious [[Pólya Prize (SIAM)|Pólya Prize]] the first year it was ever awarded, and among the firsts to win the [[Euler Medal]]. The [[Mathematical Association of America]] has also awarded him both the [[L. R. Ford|Lester R. Ford]] prize which was "...established in 1964 to recognize authors of articles of expository excellence published in ''The American Mathematical Monthly''..."<ref>[http://www.maa.org/Awards/ford.html MAA's Lester R. Ford Award Page]</ref>, and the [[Carl B. Allendoerfer|Carl Allendoerfer]] prize which was established in [[1976]] for the same reasons, however for a different magazine, the ''Mathematics Magazine''<ref>[http://www.maa.org/Awards/allendoerfer.html. MAA's Carl B. Allendoerfer Award Page]</ref>.
In [[2003]], Graham won the [[American Mathematical Society]]'s annual [[Leroy P. Steele Prizes|Steele Prize]] for Lifetime Achievement. The prize was awarded on [[January 16]] that year, at the Joint Mathematics Meetings in [[Baltimore, Maryland|Baltimore]], [[Maryland]]. In [[1999]] he was inducted as a [[Fellow]] of the [[Association for Computing Machinery]]. Graham, prolific mathematician and industrious human being, has won many other prizes over the years; he was one of the laureates of the prestigious [[Pólya Prize (SIAM)|Pólya Prize]] the first year it was ever awarded, and among the first to win the [[Euler Medal]]. The [[Mathematical Association of America]] has also awarded him both the [[L. R. Ford|Lester R. Ford]] prize which was "...established in 1964 to recognize authors of articles of expository excellence published in ''The American Mathematical Monthly''..."<ref>[http://www.maa.org/Awards/ford.html MAA's Lester R. Ford Award Page]</ref>, and the [[Carl B. Allendoerfer|Carl Allendoerfer]] prize which was established in [[1976]] for the same reasons, however for a different magazine, the ''Mathematics Magazine''<ref>[http://www.maa.org/Awards/allendoerfer.html. MAA's Carl B. Allendoerfer Award Page]</ref>.


As of [[as of 2003|2003]], he has published about 300 papers, and five books including ''[[Concrete Mathematics]]'' with [[Donald Knuth]].
As of [[as of 2003|2003]], he has published about 300 papers and five books, including ''[[Concrete Mathematics]]'' with [[Donald Knuth]].


He is married to Fan Chung Graham (known professionally as [[Fan Chung]]), who is the Akamai Professor in Internet Mathematics at the University of California, San Diego. He has two children — a daughter, Che, and a son, Marc — from an earlier marriage.
He is married to Fan Chung Graham (known professionally as [[Fan Chung]]), who is the Akamai Professor in Internet Mathematics at the [[University of California, San Diego]]. He has two children — a daughter, Che, and a son, Marc — from an earlier marriage.


==See also==
==See also==

Revision as of 12:46, 4 October 2007

For the diplomat, see Sir Ronald Graham

Ronald Lewis Graham (born October 31, 1935) is a mathematician credited by the American Mathematical Society with being "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years"[1]. He has done important work in scheduling theory, computational geometry, Ramsey theory, and quasi-randomness.

He holds the posts of Chief Scientist at the California Institute for Telecommunication and Information Technology (also known as Cal-(IT)2), and Irwin and Joan Jacobs Professor at the Department of Computer Science and Engineering of the University of California, San Diego (UCSD).

He was born in Taft, California. In 1962, he got his Ph.D. in mathematics from the University of California, Berkeley.

A 1977 paper of his discussed a problem in Ramsey theory, and gave a large number as an upper bound for its solution. This number has since become famous as the largest number ever used in a serious mathematical proof (and is listed in the Guinness Book of Records as such), and is now known as Graham's number.

Graham popularized the concept of the Erdős number, named after the highly prolific Hungarian mathematician Paul Erdős (1913 - 1996). A mathematician's Erdős number is the minimum number of links away from Erdős they are, where mathematician A is linked to mathematician B if they have co-authored a paper. Graham's Erdős number is 1. Not only did he co-author a paper with Erdős, but he was also a good friend. Erdős often stayed with him, and let him look after his mathematical papers and even his money for him.

Between 1993 and 1994 Graham served as the president of the American Mathematical Society. Graham was also featured in Ripley's Believe It or Not for being not only "one of the world's foremost mathematicians", but also "a highly skilled trampolinist and juggler", and past president of the International Jugglers Association.

In 2003, Graham won the American Mathematical Society's annual Steele Prize for Lifetime Achievement. The prize was awarded on January 16 that year, at the Joint Mathematics Meetings in Baltimore, Maryland. In 1999 he was inducted as a Fellow of the Association for Computing Machinery. Graham, prolific mathematician and industrious human being, has won many other prizes over the years; he was one of the laureates of the prestigious Pólya Prize the first year it was ever awarded, and among the first to win the Euler Medal. The Mathematical Association of America has also awarded him both the Lester R. Ford prize which was "...established in 1964 to recognize authors of articles of expository excellence published in The American Mathematical Monthly..."[2], and the Carl Allendoerfer prize which was established in 1976 for the same reasons, however for a different magazine, the Mathematics Magazine[3].

As of 2003, he has published about 300 papers and five books, including Concrete Mathematics with Donald Knuth.

He is married to Fan Chung Graham (known professionally as Fan Chung), who is the Akamai Professor in Internet Mathematics at the University of California, San Diego. He has two children — a daughter, Che, and a son, Marc — from an earlier marriage.

See also

References

The following were all used as references.