Book Description
Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students, this text's comprehensiveness and reliability also make it an essential reference for professionals. Errors have been corrected and new sections on greatest common divisors and symbolic integration have been added to this updated edition. First Edition Hb (1999): 0-521-64176-4 ... Read more

Customer Reviews (5)

Very nice
This is a very nicely written text, comprehensive in what it aims to cover.The illustrations are plentiful and very helpful.The material is mostly self-contained and presented in a novel way (Fermat, Euler, Hilbert each have their own groups of sections!).

This is the best treatment I've seen for lattice basis reduction (a topic treated in many other texts) as well as for polynomial factoring over fields (Cantor Zassenhaus) and other topics.I've read parts of this book that were irrelevant for my research simply because the book is a joy to read.Highly recommended to anyone with an interest and some degree of mathematical maturity.

The only drawback is that my edition has a number of typos, some serious (however the authors do provide an online corrigenda).

State-of-the-art in CAS
I am a C programmer and this book was fundamental to introduce myself in the field of computer algebra systems (CAS). It's very well structured and at the state-of-the-art in that discipline. The only remarks is about the strong presence of author's mother-tongue influences in some English phrases.

Good overview
A good and complete review, a very good bibliography. Wonderfull graphics. A subtle sense of humor.

Mod. Computer Algebra
A lucidly written book.Has well balanced background and problems.However, it needs to have more tricky problems that really makes one think deeper though there are some. The book proves a very good assest to the Library.

MCA - very adequate book on computer algebra topics
Covering a lot of topics on "Computer Algebra" this book is a fine workout. Many mathematical proofs are provided and most subjects are explained and outlined very accurately. Only sometimes things can not aseasily be seen as the author clames. The homepage of Mr. von zur Gathenprovides a postscript file with corrections and additions and even more onecontaining solutions to many of the given exercises. ... Read more

Book Description
Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and reference to the subject for students and experts alike. As a textbook, it provides a thorough grounding in the fundamentals of GA, with many illustrations, exercises and applications. Experts will delight in the refreshing perspective GA gives to every topic, large and small.
-David Hestenes, Distinguished research Professor, Department of Physics, Arizona State University

Geometric Algebra is becoming increasingly important in computer science. This book is a comprehensive introduction to Geometric Algebra with detailed descriptions of important applications. While requiring serious study, it has deep and powerful insights into GAs usage. It has excellent discussions of how to actually implement GA on the computer.
-Dr. Alyn Rockwood, CTO, FreeDesign, Inc. Longmont, Colorado

Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming.

Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down.

Features

Explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics.
Systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA.
Covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space.
Presents effective approaches to making GA an integral part of your programming.
Includes numerous drills and programming exercises helpful for both students and practitioners.
Companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book, and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.

About the Authors

Leo Dorst is Assistant Professor of Computer Science at the University of Amsterdam, where his research focuses on geometrical issues in robotics and computer vision. He earned M.Sc. and Ph.D. degrees from Delft University of Technology and received a NYIPLA Inventor of the Year award in 2005 for his work in robot path planning.

Daniel Fontijne holds a Masters degree in artificial Intelligence and is a Ph.D. candidate in Computer Science at the University of Amsterdam. His main professional interests are computer graphics, motion capture, and computer vision.

Stephen Mann is Associate Professor in the David R. Cheriton School of Computer Science at the University of Waterloo, where his research focuses on geometric modeling and computer graphics. He has a B.A. in Computer Science and Pure Mathematics from the University of California, Berkeley, and a Ph.D. in Computer Science and Engineering from the University of Washington.

* The first book on Geometric Algebra for programmers in computer graphics and entertainment computing

* Written by leaders in the field providing essential information on this new technique for 3D graphics

* This full colour book includes a website with GAViewer, a program to experiment with GA ... Read more

Customer Reviews (1)

A reader from Los Alamos, NM
Geometric Algebra (GA) is a unifying mathematical language that should be taught instead of or at least in combination with traditional vector analysis. Most other books on GA are aimed at Physicists. This book is a better match for Engineers and Programmers.The authors are all active researchers in applications of GA. They have done a comprehensive and up to date job of collecting, organizing and presenting the material for both beginners and those who follow the development of GA on the web. The examples and problems use GAViewer, an easy to learn programming language with an Open GL view window that can be downloaded for free from the book website. Using GAViewer with the book is very good way to learn GA, especially the 5D Conformal model of 3D space. The authors hold nothing back. Between the book, the code and the website everything is there to make learning GA fun and useful. I highly recommend this book. ... Read more

Book Description

Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays.

Customer Reviews (1)

cd format mac incompatibility fixed (for me)
Contacted Springer who manufactured cd in microsoft format incompatible to mac today (26Feb2002).

...These authors are masters. Each author, I find from surfing on the web, has a computer learning lab. The early reading introduces the fact that without the constraints of paper, undergraduates can learn to compose solutions to more realistic problems, eg. golf balls do not go on parabolas but do depend on your irons and crosswinds.

My last read text by the same authors, "Nonlinear Physics with Maple" edition 1 was a really inspiring book full of exercises. A master of solitons, Ablowitz, wrote (with) "Complex Variables" available at [Amazon.com]. Riemann Hilbert problems chapter 7 ought to further flesh out "Nonlinear Physics with Maple" last chapter concerning inverse scattering method in a to me readable manner. ... Read more

Book Description
Algorithms for Computer Algebra is the firstcomprehensive textbook to be published on the topic of computationalsymbolic mathematics. The book first develops the foundationalmaterial from modern algebra that is required for subsequent topics.It then presents a thorough development of modern computationalalgorithms for such problems as multivariate polynomial arithmetic andgreatest common divisor calculations, factorization of multivariatepolynomials, symbolic solution of linear and polynomial systems ofequations, and analytic integration of elementary functions. Numerousexamples are integrated into the text as an aid to understanding themathematical development. The algorithms developed for each topic arepresented in a Pascal-like computer language. An extensive set ofexercises is presented at the end of each chapter.
Algorithms for Computer Algebra is suitable for use as atextbook for a course on algebraic algorithms at the third-year,fourth-year, or graduate level. Although the mathematical developmentuses concepts from modern algebra, the book is self-contained in thesense that a one-term undergraduate course introducing students torings and fields is the only prerequisite assumed. The book alsoserves well as a supplementary textbook for a traditional modernalgebra course, by presenting concrete applications to motivate theunderstanding of the theory of rings and fields.
... Read more

Customer Reviews (2)

an excellent treatment
We used this book in an advanced undergraduate/early graduate class in computer algebra.The book provides a concise and rigorous, but very readable introduction to computational algebra theory, with algorithms written in pseudo code.

Assuming proficiency in programming, as further pre-requisite I would suggest an undergraduate course in abstract algebra (or equivalent mathematical maturity) for maximum benefit.

An excellent collection of algorithms, proofs, and advanced introductory material, written in a (comparatively) breezy style.

Clear and understandable, but some bugs
I found this book very useful as a reference while writing a smallcomputer algebra system.It's a definate must-have for all the hordes ofpeople out there who are rewriting subsets of Maple, Mathematica, etc.Theexplanation of the theory is relatively clear and helpful so that anot-so-theory-inclined person (such as myself) can understand the material. The cost of such clarity is a loss of some conciseness so someone wholives and breathes abstract algebra may desire a more esoteric book (likeWinkler's). The biggest flaw of the book are the poorly debuggedalgorithms.Almost every algorithm presented in the book has some sort ofminor flaw with serious reprecussions on correctness.This results in muchfrustration if you're actually trying to implement the algorithms. ... Read more

Book Description
Image algebra is a comprehensive, unifying theory of image transformations, image analysis, and image understanding. In 1996, the bestselling first edition of the Handbook of Computer Vision Algorithms in Image Algebra introduced engineers, scientists, and students to this powerful tool, its basic concepts, and its use in the concise representation of computer vision algorithms.Updated to reflect recent developments and advances, the second edition continues to provide an outstanding introduction to image algebra. It describes more than 80 fundamental computer vision techniques and introduces the portable iaC++ library, which supports image algebra programming in the C++ language. Revisions to the first edition include a new chapter on geometric manipulation and spatial transformation, several additional algorithms, and the addition of exercises to each chapter.The authors-both instrumental in the groundbreaking development of image algebra-introduce each technique with a brief discussion of its purpose and methodology, then provide its precise mathematical formulation. In addition to furnishing the simple yet powerful utility of image algebra, the Handbook of Computer Vision Algorithms in Image Algebra supplies the core of knowledge all computer vision practitioners need. It offers a more practical, less esoteric presentation than those found in research publications that will soon earn it a prime location on your reference shelf. ... Read more

Book Description
One of the most commonly asked questions in a mathematics classroom is, "Will I ever use this stuff in real life?" Some teachers can give a good, convincing answer; others hem and haw and stare at the floor. The real response to the question should be, "Yes, you will, because algebra gives you power" – the power to help your children with their math homework, the power to manage your finances, the power to be successful in your career (especially if you have to manage the company budget). The list goes on.

Algebra is a system of mathematical symbols and rules that are universally understood, no matter what the spoken language. Algebra provides a clear, methodical process that can be followed from beginning to end to solve complex problems. There's no doubt that algebra can be easy to some while extremely challenging to others. For those of you who are challenged by working with numbers, Algebra For Dummies can provide the help you need.

This easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems. But rest assured, this book is not about memorizing a bunch of meaningless steps; you find out the whys behind algebra to increase your understanding of how algebra works.

In Algebra For Dummies, you'll discover the following topics and more:

• All about numbers – rational and irrational, variables, and positive and negative
• Figuring out fractions and decimals
• Explaining exponents and radicals
• Solving linear and quadratic equations
• Understanding formulas and solving story problems
• Having fun with graphs
• Top Ten lists on common algebraic errors, factoring tips, and divisibility rules.

No matter if you're 16 years old or 60 years old; no matter if you're learning algebra for the first time or need a quick refresher course; no matter if you're cramming for an algebra test, helping your kid with his or her homework, or coming up with next year's company budget, Algebra For Dummies can give you the tools you need to succeed. ... Read more

Customer Reviews (26)

Info on Brahmagupta
Brahmagupta was the first to solve equations using general methods.Greek Diophantus solved equations using special ad hoc methods. Hence Brahmagupta was the first real algebraist.Edward Sachau said "It was Brahmagupta who taught Arabs mathematics".

The author says that Brahmagupta had an interesting take on zero.What does that mean?Brahmagupta incorporated zero to the Hindu number system and started computing with it.Brahmagupta was the first to write down the modern multiplication based on Hindu Arabic numbers that permeates all human activities from algebra, rocket science, banking, commerce to illicit deals in street corners.Here it is...The book would have been more complete if the author had given that information.

"The multiplicand is repeated like a string for cattle, as often as there are integrant portions in the multiplier and is severelly multiplied by them and the products are added together.It is multiplication.Or the multiplicand is repeated as many times as there are component parts in the multiplier".
Brahmagupta
Translated to English by H.T Colebrook, 1,817 AD

Brahmagupta then gives an example.
235 x 288

2 3 52 4 7 0
2 3 5 8 1 8 8 0
2 3 58 1 8 8 0

6 7 6 8 0

Thank God for this
I actually passed Algebra, finally. Thank you! Thank you! Thank you!

My teacher and my textbook were NO HELP---This was so understandable.

ok book, for a smart dumby
well, the book was pretty good actually. though you kinda have to be a smart dumby to understand the book completely. sometimes, the problems aren't that clear. but the book is pretty fun to read, since it has some fun facts, and it also teaches you some things that pop up everyday in algebra.

um,Dont think so
THE LAYOUT OF THIS BOOK WAS MORE COMPLICATED THAN ADVANCED ALGEBRA ITSELF.IT IS THE WORST PURCHASE I HAVE EVER MADE.IT EXPLAINS ALL DIFFERNT ASPECTS OF ALGEBRA YES BUT IT DOES NOT ACCTUALLY EXPLAIN HOW TO COMPLETE A SUM.METHODS ETC.
USELESS...

Helping to Overcome the Fear of Algebra
ALGEBRA FOR DUMMIES was purchased, along with ALGEBRA WORKBOOK FOR DUMMIES, for a close friend that has gone back to school at a "mature" age. Together they haven't exactly made her a raving algebraic enthusiast but they put forth the concepts in a manner that is logical and easier to understand. I don't think she'll score a 4 for this class but there's no doubt that she'll achieve a passing grade! ... Read more

Book Description
...explores the structure and implementation of software packages ... Read more

Customer Reviews (1)

A scholarly text and a seminal reference
Computer Algebra And Symbolic Computation: Elementary Algorithms by mathematician and computer expert Joel S. Cohen is a scholarly text and a seminal reference to the science of computer algebra and programming elementary mathematical expressions both iteratively and recursively. Structures of polynomials and rational expressions, exponential and trigonometric transformations are also covered in this solid teaching tool packed with exercises and sample code. An accompanying CD provides the student with the entire print text, useful internet hyperlinks, and complete algorithms. Highly recommended. ... Read more

Book Description

Designed for the first-year developmental math course in beginning algebra, this text retains the hallmark features that have given the Aufmann texts a solid reputation for reliability: a clear writing style, an emphasis on problem-solving strategies, and the acclaimed Aufmann Interactive Method. The text's objective-based framework offers guided learning for both lecture and self-paced courses.

• The IAE, rich with instructor support materials, features reduced student pages with support material (including answers) in the margins. Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; Discuss the Concepts prompts; Concept Check questions; Optional Student Activities; In-Class Examples to present with every objective; Suggested Assignments; Quick Quiz; and Answers to selected Writing Exercises, Focus on Problem Solving activities, and Projects and Group Activities.
• AIM for Success, a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM).
• Eduspace, powered by Blackboard, for the Aufmann/Barker/Lockwood Beginning Algebra course includes algorithmic exercises, an online Study Guide and test bank content in question pools.

Customer Reviews (3)

Simple and Effective
This book manages to keep it simple, and in doing so, proves to be a great resource for those looking to brush up on rusty skills.

Worry free service
Not too long after getting the confirmation that my payment went through ok, I got an email from Raerae313 letting me know that she would be shipping out the book I ordered.Not many sellers will let you know if they ever received payment for it.You are left worrying until the book finally shows up at your door step. It was a great experience and I received her book long before any of the others that i had purchased on the same day.I will look forward to buying from her again if she has anymore books I need.

An unnecessary revision to previous editions.
This is an easy to use book, but I've checked the third and fourth editions, and except for different equations, the content is the same. My instructor said it made no difference which edition I used, so I went withthe third one. ... Read more

Book Description
Symbolic C++: An Introduction to Computer Algebra Using Object-Oriented Programming provides a concise introduction to C++ and object-oriented programming, using a step-by-step construction of a new object-oriented designed computer algebra system - Symbolic C++. It shows how object-oriented programming can be used to implement a symbolic algebra system and how this can then be applied to different areas in mathematics and physics. This second revised edition:- * Explains the new powerful classes that have been added to Symbolic C++. * Includes the Standard Template Library. * Extends the Java section. * Contains useful classes in scientific computation. * Contains extended coverage of Maple, Mathematica, Reduce and MuPAD. ... Read more

Customer Reviews (2)

a great object-oriented application
You will find this book fascinating if you are a computer science student intrigued by symbolic calculation systems such as Mathematica and Maple, and if you would like to see how such systems would be implemented in C++ (Mathematica and Maple are actually implemented in plain old C).

The C++ level required is just after CS2, the second C++ class that comprises data structures. If I were a CS2 instructor, I guess I would require students to read some parts of this book since it is a great means of reinforcing about all the concepts learned in C++, while building a nontrivial application; although some examples are taken from physics, physics knowledge is by no means required and the general math level called for reading this book remains comfortably low, and one can always skip the things one does not know or does not care about (such as quaternions, but hey, some people might be turned on by that stuff...).

It shows how to build classes that actually perform calculations using integers of arbitrary length, rational numbers of the a/b form, vectors, matrices, quaternions, symbolic variables, differentiation, integration, etc.

The system described in the book, SymbolicC++, can be used as a FREE alternative to Mathematica or Maple, less of course the graphing capabilities these great software products offer (less also zillions of functions available). SymbolicC++ may nevertheless be connected to Gnuplot to produce graphs. SymbolicC++ may also be of interest to the professional developer having to struggle with complex calculations, since its classes can be included in any C++ environment.

So in short, this book is great if you have the right background and the right interests.

I should also point out that Dr Steeb has written another great book that shows the system at work in problems from the physical sciences and finance ("The Nonlinear Workbook")

Eclectic but rich
A mixture of C++, group theory, and mathematical physics. Far from a polished treatment, but maybe worth perusing if these are topics of interest to you. ... Read more

Book Description

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems.

Product Description
This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang Mills theory and string theory.Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps.A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation.Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang Mills equation, and discrete Painlevé equations. ... Read more

Book Description

The two-volume textbook Comprehensive Mathematics for Computer Scientists, of which this is the first volume, is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. The concept framework is streamlined but defining and proving virtually everything. The style implicitly follows the spirit of recent topos-oriented theoretical computer science. Despite the theoretical soundness, the material stresses a large number of core computer science subjects, such as, for example, a discussion of floating point arithmetic, Backus-Naur normal forms, L-systems, Chomsky hierarchies, algorithms for data encoding, e.g., the Reed-Solomon code. The numerous course examples are motivated by computer science and bear a generic scientific meaning.

Customer Reviews (2)

for computer scientists, not programmers
If you are a computer professional and wondering how much maths you need, this book might be a good answer. Much of its content is discrete maths. Like factorising primes. A background in this leads into the theory of public key encryption. Something well worth knowing. Note that the book's discussion of factorising primes is brief. You'd need another text for the public key material.

Also potentially useful is a foray into graph theory. Rings and modules also make their appearance. Predicate logic is another topic explained.

The text also discusses matrices from a viewpoint more formal than that of a typical first course in linear algebra. It generalises to an exposition of vector spaces. This portion of the text is continuum maths.

Do note that the average computer programmer actually uses very little of the material. Emphasis on programmer. But as the title says, the book is directed towards the computer scientist, who needs a more formal grounding.

Set high standards
This book is very exciting and motivating, as it sets high standards both with respect to the contents and the style.

It contains the main topics of modern math from the beginning, with applications to Computer Science: Sets, Relations, Logic, Numbers, Groups, Rings, Modules, Linear Algebra, Geometry, Quaternions.

The style is extremely compact, precise and readable, with a professional notation. The book is optimal designed (modularized)
which results in a moderate size (360 p.)

The objective of his approach is to provide a better formal competence for computer scientists by a sound mathematical education:

"Improved formal competence is urged by the object-oriented paradigm which progressively requires a programming style and a design strategy of high abstraction level in conceptual engineering."

The accompanying online course contains illustrations and animations, which at the moment don't go far beyond the book's contents.
Nevertheless, the online part has a great potential for further applications, e.g. programming projects (Moebius-Strip, Raytracing, 3D Stereo, ...)

We hope, this book will establish itself as a standard for ambitious schools and students. ... Read more

Book Description

College Algebra: Concepts and Models was the first college algebra text to be developed specifically for students who may not be proceeding on to calculus or upper-level math courses, but who need a solid understanding of algebra for their social sciences and liberal arts majors. It encourages student understanding of algebra through the use of modeling techniques and real-data applications. Optional use of technology is carefully integrated throughout the text.

• A text-specific web site offers instructor and student resources, including chapter-by-chapter online tutorials for the student. Also available on the web site are the Programs appendix and Career Interviews section.
• Chapter Openers and Chapter Projects have been updated to reflect current topics and data.
• Section Openers now include a set of learning objectives for each section.
• Real Data Application examples have been updated or replaced with new applications.
• Technology Boxes have been revised to remove references to specific programs or calculator models.
• Exercise Sets include additional and updated skill exercises and applications.
• Chapter Summaries have been rewritten to link the section objectives to the Review Exercises.

Customer Reviews (1)

College Algebra
I am very satisfied about this book. I recieved at good timing from when I ordered it. Also this person kept me posted on when they had sent it and where it was. Thank you very much!! ... Read more

Book Description
Automated and semi-automated manipulation of so-called labelled transition systems has become an important means in discovering flaws in software and hardware systems. Process algebra has been developed to express such labelled transition systems algebraically, which enhances the ways of manipulation by means of equational logic and term rewriting.
The theory of process algebra has developed rapidly over the last twenty years, and verification tools have been developed on the basis of process algebra, often in cooperation with techniques related to model checking. This textbook gives a thorough introduction into the basics of process algebra and its applications. ... Read more

Customer Reviews (1)

Wondefully well written
This is a delightful new presentation of Process Algebra, which was much needed since the classic text by Baeten and Weijland is getting outdated. In comparison, I find Fokkink's text more easy to digest, more precise andgoing significantly further. Indeed, it should be for a theory that hasevolved rapidly in the last decade. Process Algebra is on its way to becomethe tool to build full-proof software that will lead us out of the presentday software jungle. I have used this text in my one semester class inTrier and can recommend it to any serious student of computer science. ... Read more

Book Description
Written by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples.

This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries.

* Free online MapleTM material at http://www.wiley-vch.de/templates/pdf/maplephysics.zip

* Free online MathematicaTM material at http://www.wiley-vch.de/templates/pdf/physicswithmathematica.zip

*Solutions manual for lecturers available at www.wiley-vch.de/supplements/ ... Read more

Customer Reviews (2)

More than excellent.
This textbook combines Physics with Maple in a very suitable manner.
The students will find it very useful as they could learn how to apply computer algebra to Physical problems. It's really an excelnet book.

A superb textbook
The topics covered in this book form a very comprehensive look at the mathematics and types of problems that are encountered across the entire physics discipline.The author has done a nice job showing students how to use Maple for mathematical physics.The animation of several examples is a nice touch which really helps students what is going on with some of these solutions.This is a superb text. ... Read more

Book Description

This book brings together two streams of computer algebra: symbolic summation and integration on the one hand, and fast algorithmics on the other hand.

Book Description
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation. ... Read more