Experimental Mathematics In Action

Author : David Bailey
Publisher : CRC Press
ISBN 13 : 1439864330
Total Pages : 337 pages
Book Rating : 4.33/5 ( download)

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Download or read book Experimental Mathematics in Action written by David Bailey and published by CRC Press. This book was released on 2007-05-31 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi

Author : Jonathan M. Borwein
Publisher : CRC Press
ISBN 13 : 1439864195
Total Pages : 372 pages
Book Rating : 4.97/5 ( download)

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Download or read book Experimentation in Mathematics written by Jonathan M. Borwein and published by CRC Press. This book was released on 2004-04-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Jonathan Borwein
Publisher : CRC Press
ISBN 13 : 1439876916
Total Pages : 170 pages
Book Rating : 4.16/5 ( download)

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Download or read book The Computer as Crucible written by Jonathan Borwein and published by CRC Press. This book was released on 2008-10-28 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current sta

Author : Jonathan M. Borwein
Publisher : PSIpress
ISBN 13 : 193563805X
Total Pages : 309 pages
Book Rating : 4.56/5 ( download)

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Download or read book Experimental and Computational Mathematics written by Jonathan M. Borwein and published by PSIpress. This book was released on 2010 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.

Author : Jonathan Borwein
Publisher : CRC Press
ISBN 13 : 1439865361
Total Pages : 393 pages
Book Rating : 4.61/5 ( download)

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Download or read book Mathematics by Experiment written by Jonathan Borwein and published by CRC Press. This book was released on 2008-10-27 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 P

Author : V. I. Arnold
Publisher : American Mathematical Soc.
ISBN 13 : 0821894161
Total Pages : 170 pages
Book Rating : 4.63/5 ( download)

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Download or read book Experimental Mathematics written by V. I. Arnold and published by American Mathematical Soc.. This book was released on 2015-07-14 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author : Søren Eilers
Publisher : Cambridge University Press
ISBN 13 : 1108132790
Total Pages : 321 pages
Book Rating : 4.94/5 ( download)

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Download or read book Introduction to Experimental Mathematics written by Søren Eilers and published by Cambridge University Press. This book was released on 2017-06-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

Author : Tewodros Amdeberhan
Publisher : American Mathematical Soc.
ISBN 13 : 0821848690
Total Pages : 426 pages
Book Rating : 4.92/5 ( download)

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Download or read book Gems in Experimental Mathematics written by Tewodros Amdeberhan and published by American Mathematical Soc.. This book was released on 2010 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

Author : Tewodros Amdeberhan
Publisher : American Mathematical Soc.
ISBN 13 : 0821843176
Total Pages : 304 pages
Book Rating : 4.78/5 ( download)

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Download or read book Tapas in Experimental Mathematics written by Tewodros Amdeberhan and published by American Mathematical Soc.. This book was released on 2008 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

Author : Franco Vivaldi
Publisher : CRC Press
ISBN 13 : 1482285819
Total Pages : 236 pages
Book Rating : 4.19/5 ( download)

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Download or read book Experimental Mathematics with Maple written by Franco Vivaldi and published by CRC Press. This book was released on 2018-10-03 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning. Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and, assuming no previous knowledge of computing, gradually develops basic computational skills using the latest version of the powerful MAPLE® software. The author's approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs. Using this approach, Experimental Mathematics with MAPLE enables readers to build a foundation in discrete mathematics, gain valuable experience with algebraic computing, and develop a familiarity with basic abstract concepts, notation, and jargon. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study.