David H. Bailey "Computo ergo sum." Chief Technologist, Computational Research Dept. Lawrence Berkeley National Laboratory Mail Stop 50B-2239 Berkeley, CA 94720 Tel: 510-495-2773 Email: dhbailey@lbl.gov

New Experimental Math Books

I have just completed two new books on experimental mathematics, co-authored jointly with Prof. Jonathan Borwein of Simon Fraser University in Canada, and with the assistance of Roland Girgensohn of Germany, to be released by A.K. Peters this September:

Vol. 1: Mathematics by Experiment: Plausible Reasoning in the 21st Century. "Experimental mathematics" means using advanced computing technology as a "laboratory" for mathematical research. This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology, together with some of the numerical techniques used in this research. Numerous historical and biographical notes are also included.

Vol. 2: Experimentation in Mathematics: Computational Paths to Discovery. Following the lead of the first volume, this book gives numerous additional case studies of experimental mathematics in action, ranging from sequences, series, products, integrals, Fourier series, zeta functions, partitions, primes and polynomials. Some advanced numerical techniques are also presented.

A.K. Peters website Vol. 1 | Vol. 2

Scientific American commentary SciAm

Jon Borwein's Experimental Math book site JMB's site

Pi

In 1996, Peter Borwein and Simon Plouffe (at Simon Fraser University in Canada) and myself discovered a new formula for pi:

This formula permits one to compute the n-th binary or hexadecimal digit of pi, without computing the first n-1 digits, by means of a simple scheme that requires very little memory and no multiple precision software. More recently, Richard Crandall and I have shown that there is a connection between the new pi formula and the centuries-old question of normality (ie, statistical randomness of digits in a certain sense) of pi and various other math constants. This work was featured in a recent Scientific American article:

June 2003 Scientific American pg. 23 | pg. 24

Scientific American website article

LBNL "wonder" website

See if your name is in the digitsi of pi

Other information on pi

Performance Engineering Research Center (PERC)

I am leading a multi-institution, DOE-funded research program in performance analysis and modeling for scientific computing. Software, papers, talks and other material are available here: http://perc.nersc.gov

High Precision Arithmetic Software Library

I am a co-author of an extensive library for high-precision computation. This library includes translation facilities so that one can use, with minor modification, ordinary Fortran or C programs to perform these operations. An "Experimental Mathematician's Toolkit", an interactive tool, is also now available: High-precision arithmetic library.

Online Papers

Many of my papers are available in the papers subdirectory.

Online Talks

Some of my recent lectures are available in the talks subdirectory.

Biographical Sketch

A detailed biographical sketch, including a list of publication, is available here: Microsoft Word| PDF.

Photos

Photo of myself with an LBNL shuttle bus.

Photo of an auto I currently own. Note the license plate.

Photo of an auto I previously owned, together with several researchers involved in calculating pi (Kanada, Salamin and Gosper).

High-res photo of the view from a spot near my office at LBNL.

Links to DHB's Colleagues

Jonathan Borwein. This has many interesting and useful mathematical links.

Peter Borwein. This has lots of information on pi and number theory.

Richard Crandall. This has useful tools for computational number theory.

James Demmel. This has several interesting links in computational linear algebra and general computer science.

Helaman Ferguson. This has numerous photos of his beautiful mathematical sculptures.

CS267

Robert F. Lucas and myself taught the graduate course CS267, "Applications of Parallel Computers" at U.C. Berkeley during the Spring 2000 semester. The lecture notes and related materials are available here.

Personal Web Page

Some papers and other materials not related to my official duties at LBNL are available at my personal website: http://www.dhbailey.com