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| Author | : David Betounes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 419 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1461300673 |
This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.
| Author | : Walter Gander |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 268 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 364297533X |
Modern computing tools like Maple (symbolic computation) and Matlab (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for the students. This situation has changed now, and the students can be taught real-life problems that they can actually solve using the new powerful software. The reader will improve his knowledge through learning by examples and he will learn how both systems, MATLAB and MAPLE, may be used to solve problems interactively in an elegant way. Readers will learn to solve similar problems by understanding and applying the techniques presented in the book. All programs used in the book are available to the reader in electronic form.
| Author | : Walter Gander |
| Publisher | : Springer Science & Business |
| Total Pages | : 926 |
| Release | : 2014-04-23 |
| Genre | : Mathematics |
| ISBN | : 3319043250 |
Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.
| Author | : Jonathan M. Borwein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 237 |
| Release | : 2012-08-07 |
| Genre | : Mathematics |
| ISBN | : 1461442532 |
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 | : Francis Wright |
| Publisher | : CRC Press |
| Total Pages | : 558 |
| Release | : 2001-09-27 |
| Genre | : Mathematics |
| ISBN | : 9781584882367 |
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.
| Author | : Inna K. Shingareva |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 274 |
| Release | : 2007-12-27 |
| Genre | : Computers |
| ISBN | : 3211732659 |
By presenting side-by-side comparisons, this handbook enables Mathematica users to quickly learn Maple, and vice versa. The parallel presentation enables students, mathematicians, scientists, and engineers to easily find equivalent functions on each of these algebra programs. The handbook provides core material for incorporating Maple and Mathematica as working tools into many different undergraduate mathematics courses.
| 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 | : Andre HECK |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 503 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1468405195 |
The fully revised edition of this best-selling title presents the modern computer algebra system Maple. It teaches the reader not only what can be done by Maple, but also how and why it can be done. The book provides the necessary background for those who want the most of Maple or want to extend its built-in knowledge, containing both elementary and more sophisticated examples as well as many exercises.
| Author | : Walter Gander |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 364297953X |
From the reviews: ".. An excellent reference on undergraduate mathematical computing." (American Mathematical Monthly) "... manuals for such systems (Maple and MATLAB) tend to use trivial examples, making it difficult for new users of such systems to quickly apply their power to real problems. The authors have written a good book to address this need. ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." (Computing Reviews) ".. The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." (Mathematics of Computation)
| Author | : Ian Thompson |
| Publisher | : Cambridge University Press |
| Total Pages | : 237 |
| Release | : 2016-11-14 |
| Genre | : Computers |
| ISBN | : 1316628140 |
This book explains the key features of Maple, with a focus on showing how things work, and how to avoid common problems.
