Maple V: Mathematics and its Applications

Maple V: Mathematics and its Applications
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.

From Elementary Probability to Stochastic Differential Equations with MAPLE®

From Elementary Probability to Stochastic Differential Equations with MAPLE®
Author: Sasha Cyganowski
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642561446

This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical skills in the use of MAPLE in the context of probability and its applications. It offers to graduates and advanced undergraduates an overview and intuitive background for more advanced studies.

Interactive Linear Algebra with Maple V

Interactive Linear Algebra with Maple V
Author: Elias Deeba
Publisher: Springer Science & Business Media
Total Pages: 338
Release: 1998-03-16
Genre: Mathematics
ISBN: 9780387982403

A complete software package consisting of the printed book and a CD-ROM (with diskettes available on request). The interactive text includes: * A graphical user interface for easy navigation through the text along with animations that explain linear algebra concepts geometrically. * Interactive lessons with emphasis on experimentation and conjecturing. * A collection of labs which strengthens the learning of the concepts. * Applications which stress modelling and the use of linear algebra in various disciplines. * A unique library of interactive "high-level" functions written in Maple V that can be used in different modes. * A stand alone testing system. The authors believe that students of mathematics should enjoy, understand, assimilate, and apply the skills and concepts they study, and, as such, here they play a fundamental and active role throughout the learning process.

An Introduction to Modern Mathematical Computing

An Introduction to Modern Mathematical Computing
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.

Maple

Maple
Author: Bernard V Liengme
Publisher: Morgan & Claypool Publishers
Total Pages: 171
Release: 2019-06-04
Genre: Science
ISBN: 1643274880

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.

A Short Course in Mathematical Methods with Maple

A Short Course in Mathematical Methods with Maple
Author: Henrik Aratyn
Publisher: World Scientific
Total Pages: 720
Release: 2006
Genre: Mathematics
ISBN: 9812564616

This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the ?paper and pencil? presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.

Applications of Abstract Algebra with MAPLE

Applications of Abstract Algebra with MAPLE
Author: Richard Klima
Publisher: CRC Press
Total Pages: 272
Release: 1999-09-28
Genre: Mathematics
ISBN: 9780849381706

The mathematical concepts of abstract algebra may indeed be considered abstract, but its utility is quite concrete and continues to grow in importance. Unfortunately, the practical application of abstract algebra typically involves extensive and cumbersome calculations-often frustrating even the most dedicated attempts to appreciate and employ its intricacies. Now, however, sophisticated mathematical software packages help obviate the need for heavy number-crunching and make fields dependent on the algebra more interesting-and more accessible. Applications of Abstract Algebra with Maple opens the door to cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The authors have carefully integrated Maple V throughout the text, enabling readers to see realistic examples of the topics discussed without struggling with the computations. But the book stands well on its own if the reader does not have access to the software. The text includes a first-chapter review of the mathematics required-groups, rings, and finite fields-and a Maple tutorial in the appendix along with detailed treatments of coding, cryptography, and Polya theory applications. Applications of Abstract Algebra with Maple packs a double punch for those interested in beginning-or advancing-careers related to the applications of abstract algebra. It not only provides an in-depth introduction to the fascinating, real-world problems to which the algebra applies, it offers readers the opportunity to gain experience in using one of the leading and most respected mathematical software packages available.

Maple and Mathematica

Maple and Mathematica
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.

Mathematical Biology

Mathematical Biology
Author: Ronald W. Shonkwiler
Publisher: Springer Science & Business Media
Total Pages: 552
Release: 2009-08-04
Genre: Science
ISBN: 0387709843

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

Advanced Problem Solving with Maple

Advanced Problem Solving with Maple
Author: William P. Fox
Publisher: CRC Press
Total Pages: 286
Release: 2019-05-29
Genre: Mathematics
ISBN: 0429891342

Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies. The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications. Highlights: The book’s real-world case studies prepare the student for modeling applications Bridges the study of topics and applications to various fields of mathematics, science, and engineering Features a flexible format and tiered approach offers courses for students at various levels The book can be used for students with only algebra or calculus behind them About the authors: Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).