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This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths to Discovery is a highly recommended companion.
Jonathan M. Borwein, Dalhousie University, Canada; University of Newcastle, Australia. David H. Bailey, Chief Technologist, Computational Research Dept.Lawrence Berkeley National Laboratory. Together, Borwein and Bailey have written Mathematics by Experiment, Experimentation in Mathematics, Experimental Mathematics in Action, and Experiments in Mathematics CD.
Preface, 1. What is Experimental Mathematics?, 2. Experimental Mathematics in Action, 3. Pi and Its Friends, 4. Normality of Numbers, 5. The Power of Constructive Proofs, 6. Numerical Techniques, 7. Recent Experiences, Bibliography, Subject Index
"... 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]." - Notices of the AMS "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!" - Mathematical Reviews "These are such fun books to read!... 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." - American Scientist"
Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin, New South Wales) Borwein, Jonathan (Professor, University of Newcastle, Sydney) van der Poorten, Alf (Macquarie University, Ontario) Shallit, Jeffrey (University of Waterloo, New South Wales) Zudilin, Wadim (University of Newcastle, Alf Van Der Poorten, Alf van der Poorten
David Bailey, Jonathan Borwein, Neil Calkin, Russell Luke, Roland Girgensohn, Victor Moll, USA) Bailey, David (Lawrence Berkeley National Laboratory, California, USA) Calkin, Neil (Clemson University, South Carolina, USA) Luke, Russell (Winthrop University, Rock Hill, South Carolina, Germany) Girgensohn, Roland (The German Armed Forces, Muenchen, USA) Moll, Victor (Tulane University, New Orleans, Louisiana
David Bailey, Jonathan Borwein, Neil Calkin, Russell Luke, Roland Girgensohn, Victor Moll, USA) Bailey, David (Lawrence Berkeley National Laboratory, California, USA) Calkin, Neil (Clemson University, South Carolina, USA) Luke, Russell (Winthrop University, Rock Hill, South Carolina, Germany) Girgensohn, Roland (The German Armed Forces, Muenchen, USA) Moll, Victor (Tulane University, New Orleans, Louisiana