Experimental Mathematics with Maple

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Publisher : CRC Press
ISBN 13 : 1351990195
Total Pages : 151 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Experimental Mathematics with Maple by : Franco Vivaldi

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 151 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.

Experimental Mathematics with Maple

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Author :
Publisher : CRC Press
ISBN 13 : 1482285819
Total Pages : 236 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Experimental Mathematics with Maple by : Franco Vivaldi

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.

Computing with Maple

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Author :
Publisher : CRC Press
ISBN 13 : 9781584882367
Total Pages : 558 pages
Book Rating : 4.8/5 (823 download)

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Book Synopsis Computing with Maple by : Francis Wright

Download or read book Computing with Maple written by Francis Wright and published by CRC Press. This book was released on 2001-09-27 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Powerful, flexible, easy to use-small wonder that the use of MAPLE® continues to increase, particularly since the latest releases of MAPLE. The built-in nature of its numerical and graphical facilities gives MAPLE a distinct advantage over traditional programming languages, yet to date, no textbook has used that advantage to introduce programming concepts. Moreover, few books based on MAPLE's latest versions even exist. Computing with MAPLE presents general programming principles using MAPLE as a concrete example of a programming language. The author first addresses the basic MAPLE functions accessible for interactive use then moves to actual programming, discussing all of the programming facilities that MAPLE provides, including control structures, data types, graphics, spreadsheets, text processing, and object oriented programming. Reflecting MAPLE's primary function as a computational tool, the book's emphasis is on mathematical examples, and it includes a full chapter devoted to algebraic programming. Classroom tested since 1995, the material in Computing with MAPLE is particularly appropriate for an intermediate-level introductory course in programming for both mathematics and computing students. It includes numerous exercises and test questions, with MAPLE worksheets, contact information, and supplementary material available on the Internet.

An Introduction to Modern Mathematical Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 1461442532
Total Pages : 237 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis An Introduction to Modern Mathematical Computing by : Jonathan M. Borwein

Download or read book An Introduction to Modern Mathematical Computing written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Experiments In Mathematics Using Maple

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 364279758X
Total Pages : 476 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Experiments In Mathematics Using Maple by : Christopher T.J. Dodson

Download or read book Experiments In Mathematics Using Maple written by Christopher T.J. Dodson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed for use in school computer labs or with home computers running the computer algebra system Maple.

Introduction to Experimental Mathematics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107156130
Total Pages : 321 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Experimental Mathematics by : Søren Eilers

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 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

Experimental Mathematics in Action

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Publisher : CRC Press
ISBN 13 : 1439864330
Total Pages : 337 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Experimental Mathematics in Action by : David Bailey

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

Gems in Experimental Mathematics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821848690
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Gems in Experimental Mathematics by : Tewodros Amdeberhan

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.

Experiments In Mathematics Using Maple

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Author :
Publisher : Springer
ISBN 13 : 9783642797590
Total Pages : 465 pages
Book Rating : 4.7/5 (975 download)

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Book Synopsis Experiments In Mathematics Using Maple by : Christopher TJ Dodson

Download or read book Experiments In Mathematics Using Maple written by Christopher TJ Dodson and published by Springer. This book was released on 2012-01-26 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed for use in school computer labs or with home computers running the computer algebra system Maple.

The Computer as Crucible

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Publisher : CRC Press
ISBN 13 : 1439876916
Total Pages : 170 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Computer as Crucible by : Jonathan Borwein

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

Maple

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643274880
Total Pages : 171 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis Maple by : Bernard V Liengme

Download or read book Maple written by Bernard V Liengme and published by Morgan & Claypool Publishers. This book was released on 2019-06-04 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Equations

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Publisher : Chapman & Hall/CRC
ISBN 13 : 9781003175643
Total Pages : 248 pages
Book Rating : 4.1/5 (756 download)

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Book Synopsis Differential Equations by : Robert P. Gilbert

Download or read book Differential Equations written by Robert P. Gilbert and published by Chapman & Hall/CRC. This book was released on 2021 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book illustrates how MAPLE can be used to supplement a standard, elementary text in ordinary and partial differential equation. MAPLE is used with several purposes in mind. The authors are firm believers in the teaching of mathematics as an experimental science where the student does numerous calculations and then synthesizes these experiments into a general theory. Projects based on the concept of writing generic programs test a student's understanding of the theoretical material of the course. A student who can solve a general problem certainly can solve a specialized problem. The authors show MAPLE has a built-in program for doing these problems. While it is important for the student to learn MAPLEâS in built programs, using these alone removes the student from the conceptual nature of differential equations. The goal of the book is to teach the students enough about the computer algebra system MAPLE so that it can be used in an investigative way. The investigative materials which are present in the book are done in desk calculator mode DCM, that is the calculations are in the order command line followed by output line. Frequently, this approach eventually leads to a program or procedure in MAPLE designated by proc and completed by end proc. This book was developed through ten years of instruction in the differential equations course"--

Tapas in Experimental Mathematics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821843176
Total Pages : 304 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Tapas in Experimental Mathematics by : Tewodros Amdeberhan

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.

Experimental and Computational Mathematics

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Author :
Publisher : PSIpress
ISBN 13 : 193563805X
Total Pages : 309 pages
Book Rating : 4.9/5 (356 download)

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Book Synopsis Experimental and Computational Mathematics by : Jonathan M. Borwein

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.

Mathematics by Experiment

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Author :
Publisher : CRC Press
ISBN 13 : 1439865361
Total Pages : 393 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics by Experiment by : Jonathan Borwein

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

Experimentation in Mathematics

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Author :
Publisher : CRC Press
ISBN 13 : 1439864195
Total Pages : 372 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Experimentation in Mathematics by : Jonathan M. Borwein

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

Maple Animation

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Author :
Publisher : CRC Press
ISBN 13 : 0203503139
Total Pages : 232 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Maple Animation by : John F. Putz

Download or read book Maple Animation written by John F. Putz and published by CRC Press. This book was released on 2018-07-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is nothing quite like that feeling you get when you see that look of recognition and enjoyment on your students' faces. Not just the strong ones, but everyone is nodding in agreement during your first explanation of the geometry of directional derivatives. If you have incorporated animated demonstrations into your teaching, you know how effective they can be in eliciting this kind of response. You know the value of giving students vivid moving images to tie to concepts. But learning to make animations generally requires extensive searching through a vast computer algebra system for the pertinent functions. Maple Animation brings together virtually all of the functions and procedures useful in creating sophisticated animations using Maple 7, 8, or 9 and it presents them in a logical, accessible way. The accompanying downloadable resources provide all of the Maple code used in the book, including the code for more than 30 ready-to-use demonstrations. From Newton's method to linear transformations, the complete animations included in this book allow you to use them straight out of the box. Careful explanations of the methods teach you how to implement your own creative ideas. Whether you are a novice or an experienced Maple user, Maple Animation provides the tools and skills to enhance your teaching and your students' enjoyment of the subject through animation.