Two New Books on Experimental Mathematics
BOOK ONE authored by
Jonathan Borwein
AK Peters Ltd November 2003 
BOOK TWO with Roland Girgensohn |
BOOK ONE: Mathematics by Experiment: Plausible Reasoning in the 21st Century.
"This new approach
to mathematics --- the utilization of advanced computing technology in
mathematical research --- is often called experimental mathematics. The
computer provides the mathematician with a ``laboratory'' in which she
can perform experiments --- analyzing examples, testing out new ideas,
or searching for patterns.
This book (cover below) presents the rationale and
historical context of experimental mathematics, and includes a series
of examples that best portray the experimental methodology."
(Preface and Table of Contents.)
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BOOK TWO: Experimentation in Mathematics: Computational Paths to Discovery.
"New mathematical
insights and rigorous results are often gained through extensive
experimentation using numerical examples or graphical images and
analyzing them.
Today computer experiments are an integral part of doing mathematics.
This allows for a more systematic approach to conducting and
replicating experiments. The authors address the role of experimental
research in the statement of new hypotheses and the discovery of new
results that chart the road to future developments."
(Preface and Table of Contents.)
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Volume One and
Volume Two in PDF (password protected, contact authors).
- Other Books by Jonathan Borwein (in linked PDF).
- A general lecture on Plausible Reasoning in the 21st Century (PDF)
- Two related lectures on Mathematics by Experiment (An introduction) and Experimentation in Mathematics (Further examples) in Postscript and in Acrobat.
- An Integer Relation Finder with some other Related Links.
- A lecture on The Life of Pi: History and Computation in Acrobat and some Related Links, some Maple-HTML and Maple Worksheets.
- Other Books by Jonathan Borwein (in linked PDF).
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J. M. Borwein,