I have written three books on computational and experimental mathematics, and a CD-ROM reference. Further information is available in the Books website:
http://www.experimentalmath.info/books
Experimental Mathematics
I have published numerous research studies in the area of "experimental" (computer-assisted) mathematics, which establish that modern high-performance computer technology can be effectively utilized as a tool for mathematical research. Here are some links with additional information:
I am co-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://www.peri-scidac.org
Personal Website
Some papers, scenic photos and other materials not related to my official duties
at LBNL are available at my personal website:
http://www.dhbailey.com.
Neither LBNL, the University of California nor the Department of
Energy endorses or is responsible for the material on this site.
Photos
Photo of DHB with an LBNL shuttle bus:
Shuttle bus
Photo of an auto previously owned by DHB, together with several
researchers involved in calculations of pi (Kanada, Salamin and Gosper):
Auto
Photo of the view from a spot near DHB's office at LBNL:
Office view
DHB near summit of Half Dome:
DHB at Half Dome. This photo (taken by Derek Schickor) is now featured on the Google website when one types "Half Dome" (without the quotation marks) in the Google search window
http://images.google.com.
Pi
In 1996, Peter Borwein (brother of Jonathan Borwein), Simon Plouffe and I co-authored a paper that presents a new formula for pi:
This formula, now known as the "BBP formula for pi", 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. It was discovered by Simon Plouffe using a computer program of mine that implements Helaman Ferguson's "PSLQ" algorithm. 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 has been featured in recent Science News and Scientific American articles:
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:
http://crd.lbl.gov/~dhbailey/mpdist.
Resume
A detailed curriculum vitae (resume), including a list of publications, is
available here:
PDF.
CS267
Myself and others in the LBNL Computational Research Department often
participate in the U.C. Berkeley course "Applications of Parallel
Computing" (CS267). The lecture notes and related materials for the
most recent edition of this course (2008) are available here:
CS267
Websites of Interest
Jonathan Borwein -- many interesting links on general mathematics and experimental mathematics:
Jonathan Borwein.
Peter Borwein -- lots of information on pi and number theory:
Peter Borwein
Richard Crandall -- many useful tools for computational number theory:
Richard Crandall
James Demmel -- lots of information on computational linear algebra and computer science:
James Demmel
Helaman Ferguson -- numerous photos of his beautiful mathematical sculptures:
Helaman Ferguson