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Mathematics by Experiment, 2nd Edition Jonathan Borwein

Mathematics by Experiment, 2nd Edition By Jonathan Borwein

Mathematics by Experiment, 2nd Edition by Jonathan Borwein


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Summary

The utilization of advanced computing technology in mathematical research is often called experimental mathematics. This book presents the rationale and historical context of experimental mathematics and includes a series of examples that best portray the experimental methodology.

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Mathematics by Experiment, 2nd Edition Summary

Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century by Jonathan Borwein

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 presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended companion.

Mathematics by Experiment, 2nd Edition Reviews

" Whether you take sides in the debate about the validity of experimental mathematics or are not sure what all the fuss is about, the book is a rewarding read. -Padraig Murphy, Berkeley Science Review, April 2004
Let me cut to the chase: every mathematics library requires a copy of this book. . . . Every supervisor of higher degree students requires a copy on their shelf. Welcome to the rich world of computer-supported mathematics! -Mathematiacl Reviews, December 2004
""Whether you take sides in the debate about the validity of experimental mathematics or are not sure what the fuss is all about, the book is a rewarding read."" -Padraig Murphy, Berkeley Science Review, June 2004
How large a role will computer computations play in the mathematics of tomorrow? The books under review are about many things, but it is clear that the authors are focused on this question. Their answer: very large. Their attitude: we should embrace this change. -David P. Roberts, MAA Online Read This!, January 2005
These are such fun books to read! Actually, calling them books does not do them justice. They have the liveliness and feel of great Web sites, with their bite-size fascinating factoids and their many human- and math-interest stories and other gems. But do not be fooled by the lighthearted, immensely entertaining style. You are going to learn more math (experimental or otherwise) than you ever did from any two single volumes. Not only that, you will learn by osmosis how to become an experimental mathematician. -Doron Zeilberger, American Scientist, March 2005
""It is impossible to describe the content of the whole work in detail in just a few lines."" -Ivan NetukaI, EMS, September 2004
Experimental mathematics is dedicated to expanding mathematical knowledge rapidly, occasionally with a ""temporary relaxation in rigor."" -Paul Campbell, Jr., Mathematics Magazine, April 2005
Much of the material in the book has arisen from the experiences of the authors while working on a computer based approach to different topics in mathematics. The variety obtained in this way is impressive, the authors have really touched and produced a treasure trove of lovely mathematical gems. -Fritz Beukers, AMS MathSciNet, May 2005
""Mathematiques experimentales Certains mathematiciens defendent l'idee que les mathematiques sont une science experimentale : l'ordinateur, dont la puissance de calcul engendre des conjectures, est pour eux une source d'inspiration."" -Jean-Paul Delahaye, Pour la Science--Logic et Calcul, April 2005
""Still, experimental mathematics is here to stay. The reader who wants to get an introduction to this exciting approach to doing mathematics can do no better than [this book]."" -Jeffrey Shallit, Notices of the AMS, September 2005
Mathematics by experiment describes the ideas behind experimental mathematics... and devotes some time to the more philosophical implications suggested by the title. -Australian Mathematical Society Gazette, August 2005
""The two books are written in an inviting, conversational, unprepossessing style. They are fascinating as a vast collection of interesting facts, anecdotes, and examples about numbers, primes, polynomials, special functions, definite integrals, series summations, and especially PI."" -Reuben Hersh, SIAM Reviews, January 2006
""The two books are written in an inviting, conversational, unprepossessing style. They are fascinating as a vast collection of interesting facts, anecdotes, and examples about numbers, primes, polynomials, special functions, definite integrals, series summations, and especially PI."" -Ruben Hersh, SIAM Reviews, January 2006"

Additional information

CIN1568812116VG
9781568812113
1568812116
Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century by Jonathan Borwein
Used - Very Good
Hardback
Taylor & Francis Inc
2003-12-04
300
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Mathematics by Experiment, 2nd Edition