Introduction to Experimental Mathematics

Nonfiction, Science & Nature, Mathematics, Geometry, Computers, General Computing
Cover of the book Introduction to Experimental Mathematics by Søren Eilers, Rune Johansen, Cambridge University Press
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Author: Søren Eilers, Rune Johansen ISBN: 9781108132077
Publisher: Cambridge University Press Publication: June 1, 2017
Imprint: Cambridge University Press Language: English
Author: Søren Eilers, Rune Johansen
ISBN: 9781108132077
Publisher: Cambridge University Press
Publication: June 1, 2017
Imprint: Cambridge University Press
Language: English

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.

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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.

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