[PDF] Experimental Mathematics With Maple eBook

Author : Franco Vivaldi
Publisher : CRC Press
Page : 151 pages
File Size : 27,63 MB
Release : 2018-10-03
Category : Mathematics
ISBN : 1351990195

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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.

Author : Frank Garvan
Publisher : Chapman and Hall/CRC
Page : 672 pages
File Size : 42,37 MB
Release : 2016-02-15
Category : Mathematics
ISBN : 9781439898284

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The second edition of this popular text on MapleTM programming has been updated to reflect Maple version 15. Suitable for new and advanced users, the guide covers the latest features of Maple and offers a tutorial that extends from high school algebra and graphing to advanced topics of mathematics, such as special functions, multivariable calculus, and differential equations. This second edition also includes new chapters on various engineering topics and experimental mathematics. Examples of all the Maple commands used in the text are available online.

Author : Søren Eilers
Publisher : Cambridge University Press
Page : 321 pages
File Size : 12,20 MB
Release : 2017-06
Category : Computers
ISBN : 1107156130

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This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

Author : Søren Eilers
Publisher : Cambridge University Press
Page : 321 pages
File Size : 36,10 MB
Release : 2017-06-01
Category : Computers
ISBN : 1108132790

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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.

Author : David Bailey
Publisher : CRC Press
Page : 337 pages
File Size : 36,39 MB
Release : 2007-05-31
Category : Mathematics
ISBN : 1439864330

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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 : Springer Science & Business Media
Page : 237 pages
File Size : 22,96 MB
Release : 2012-08-07
Category : Mathematics
ISBN : 1461442532

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Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Author : Christopher T.J. Dodson
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 37,68 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 364279758X

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The book is designed for use in school computer labs or with home computers running the computer algebra system Maple.

Author : Bernard V Liengme
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 42,28 MB
Release : 2019-06-04
Category : Science
ISBN : 1643274880

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Maple is a comprehensive symbolic mathematics application which is well suited for demonstrating physical science topics and solving associated problems. Because Maple is such a rich application, it has a somewhat steep learning curve. Most existing texts concentrate on mathematics; the Maple help facility is too detailed and lacks physical science examples, many Maple-related websites are out of date giving readers information on older Maple versions. This book records the author's journey of discovery; he was familiar with SMath but not with Maple and set out to learn the more advanced application. It leads readers through the basic Maple features with physical science worked examples, giving them a firm base on which to build if more complex features interest them.

Author : Tewodros Amdeberhan
Publisher : American Mathematical Soc.
Page : 426 pages
File Size : 32,41 MB
Release : 2010
Category : Mathematics
ISBN : 0821848690

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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 : Jonathan M. Borwein
Publisher : CRC Press
Page : 372 pages
File Size : 41,34 MB
Release : 2004-04-12
Category : Mathematics
ISBN : 1439864195

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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