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| Author | : Christopher T.J. Dodson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 476 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 364279758X |
The book is designed for use in school computer labs or with home computers running the computer algebra system Maple.
| Author | : Christopher TJ Dodson |
| Publisher | : Springer |
| Total Pages | : 465 |
| Release | : 2012-01-26 |
| Genre | : Mathematics |
| ISBN | : 9783642797590 |
The book is designed for use in school computer labs or with home computers running the computer algebra system Maple.
| Author | : Franco Vivaldi |
| Publisher | : CRC Press |
| Total Pages | : 151 |
| Release | : 2018-10-03 |
| Genre | : Mathematics |
| ISBN | : 1351990195 |
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 | : John Oprea |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 282 |
| Release | : 2000 |
| Genre | : Computers |
| ISBN | : 0821821180 |
Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the Maple applications, the reader is given tools for creating the shapes that are being studied. Thus, you can "see" a fluid rising up an inclined plane, create minimal surfaces from complex variables data, and investigate the "true" shape of a balloon. Oprea also includes descriptions of experiments and photographs that let you see real soap films on wire frames. The theory of minimal surfaces is a beautiful subject, which naturally introduces the reader to fascinating, yet accessible, topics in mathematics. Oprea's presentation is rich with examples, explanations, and applications. It would make an excellent text for a senior seminar or for independent study by upper-division mathematics or science majors.
| Author | : Søren Eilers |
| Publisher | : Cambridge University Press |
| Total Pages | : 321 |
| Release | : 2017-06-01 |
| Genre | : Computers |
| ISBN | : 1108132790 |
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 | : Robert J. Lopez |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 238 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461202639 |
The Maple Summer Workshop and Symposium, MSWS '94, reflects the growing commu nity of Maple users around the world. This volume contains the contributed papers. A careful inspection of author affiliations will reveal that they come from North America, Europe, and Australia. In fact, fifteen come from the United States, two from Canada, one from Australia, and nine come from Europe. Of European papers, two are from Ger many, two are from the Netherlands, two are from Spain, and one each is from Switzerland, Denmark, and the United Kingdom. More important than the geographical diversity is the intellectual range of the contributions. We begin to see in this collection of works papers in which Maple is used in an increasingly flexible way. For example, there is an application in computer science that uses Maple as a tool to create a new utility. There is an application in abstract algebra where Maple has been used to create new functionalities for computing in a rational function field. There are applications to geometrical optics, digital signal processing, and experimental design.
| Author | : David Bailey |
| Publisher | : CRC Press |
| Total Pages | : 337 |
| Release | : 2007-05-31 |
| Genre | : Mathematics |
| ISBN | : 1439864330 |
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 | : Wiesław Krawcewicz |
| Publisher | : Alpha Science Int'l Ltd. |
| Total Pages | : 718 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9781842650745 |
Offering a universally taught course: this complete exposition of a single varibale calculus elucidates transcendental functions, the notion of a sequence and its limit and the introduction of a limit of a function.
| Author | : Stephen Lynch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 512 |
| Release | : 2009-12-23 |
| Genre | : Mathematics |
| ISBN | : 0817646051 |
Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center
| Author | : Kenneth H. Rosen |
| Publisher | : McGraw-Hill Science, Engineering & Mathematics |
| Total Pages | : 0 |
| Release | : 1997 |
| Genre | : Computer science |
| ISBN | : 9780070541283 |
This is the first supplement in discrete mathematics to concentrate on the computational aspects of the computer algebra system Maple. Detailed instructions for the use of Maple are included in an introductory chapter and in each subsequent chapter. Each chapter includes discussion of selected Computational and Exploration exercises in the corresponding chapter of Ken Rosen's text Discrete Math and It's Applications, Third Edition. New exercises and projects are included in each chapter to encourage further exploration of discrete mathematics using Maple. All of the Maple code in this supplement is available online via the Waterloo Maple Web site, in addition to new Maple routines that have been created which extend the current capabilities of Maple.
