Organic Mathematics: David H. Bailey

Invited Speaker
David H. Bailey
Researcher
NASA Ames Research Center
Moffett Field, CA

Email: dbailey@nas.nasa.gov

Homepage: http://www.nas.nasa.gov

Contributions: Ramanujan, Modular Equations, and Approximations to Pi or How to compute One Billion Digits of Pi

Paper: Recognizing Numerical Constants

Talk: Recognizing Numerical Constants

(QuickTime movie - 1.5M)

Abstract: The advent of inexpensive, high-performance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining, within certain limits, whether a computed real or complex number can be written as a simple expression involving the classical constants of mathematics.
In this presentation, some of the recently discovered techniques for constant recognition, notably integer relation detection algorithms, will be presented. As an application of these methods, the author's recent work in recognizing "Euler sums" will be described in some detail. The latter work was done jointly with Jonathan Borwein and Roland Girgensohn of SFU/CECM.

About Myself

Born: Utah, USA

Education: B.S. in Mathematics from Brigham Young University (1972), Ph.D. in Mathematics from Stanford University (1976).

Family: I have a wife and four daughters, aged 9, 11, 14 and 16. My wife is in biotechnology; she has been busy with child care for the past few years but will soon return to full-time professional work. My eldest daughter is an ambitious scholar who frightens her impoverished father by using the "S" word (Stanford). The second eldest is a talented athlete, competing in field hockey and soccer. The third may have inherited some of her father's flair for mathematics, and the fourth may have inherited some of his spunk. All are attractive, something they most certainly did NOT inherit from their father...

Interests: My research interests are somewhat schizophrenic, encompassing pure mathematics (mostly computational number theory) on one hand, and applied technology (high performance computing, including numerical algorithms and parallel architectures) on the other. These two arenas are almost completely disjoint -- colleagues in one are generally unaware of my activities in the other.

Comments: I want to do some great mathematical and scientific work, something that will be remembered and cited long after I'm gone. But in addition, I want to be an significant agent for the advancement of technology and the betterment of society.

Email:	dbailey@nas.nasa.gov
Homepage:	http://www.nas.nasa.gov
Contributions:	Ramanujan, Modular Equations, and Approximations to Pi or How to compute One Billion Digits of Pi
Paper:	Recognizing Numerical Constants
Talk:	Recognizing Numerical Constants (QuickTime movie - 1.5M)
Abstract:	The advent of inexpensive, high-performance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining, within certain limits, whether a computed real or complex number can be written as a simple expression involving the classical constants of mathematics. In this presentation, some of the recently discovered techniques for constant recognition, notably integer relation detection algorithms, will be presented. As an application of these methods, the author's recent work in recognizing "Euler sums" will be described in some detail. The latter work was done jointly with Jonathan Borwein and Roland Girgensohn of SFU/CECM.

Born:	Utah, USA
Education:	B.S. in Mathematics from Brigham Young University (1972), Ph.D. in Mathematics from Stanford University (1976).
Family:	I have a wife and four daughters, aged 9, 11, 14 and 16. My wife is in biotechnology; she has been busy with child care for the past few years but will soon return to full-time professional work. My eldest daughter is an ambitious scholar who frightens her impoverished father by using the "S" word (Stanford). The second eldest is a talented athlete, competing in field hockey and soccer. The third may have inherited some of her father's flair for mathematics, and the fourth may have inherited some of his spunk. All are attractive, something they most certainly did NOT inherit from their father...
Interests:	My research interests are somewhat schizophrenic, encompassing pure mathematics (mostly computational number theory) on one hand, and applied technology (high performance computing, including numerical algorithms and parallel architectures) on the other. These two arenas are almost completely disjoint -- colleagues in one are generally unaware of my activities in the other.
Comments:	I want to do some great mathematical and scientific work, something that will be remembered and cited long after I'm gone. But in addition, I want to be an significant agent for the advancement of technology and the betterment of society.