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Posted: September 25th, 2007, 7:40pm CEST

TagsAlgorithms for Computer Algebra   [edit]


Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields. Review `The Computer Algebra community has been waiting for years for this boo Read more...

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Posted: August 29th, 2007, 10:16am CEST

TagsComputer Graphics for Java Programmers   [edit]


A great many varied and interesting visual effects can be achieved with computer graphics, for which a fundamental understanding of the underlying mathematical concepts - and a knowledge of how they can be implemented in a particular programming language - is essential. Computer Graphics for Java Programmers, 2nd edition covers elementary concepts in creating and manipulating 2D and 3D graphical objects, covering topics from classic graphics algorithms to perspective drawings and hidden-line elimination. Completely revised and updated throughout, the second edition of this highly popular textbook contains a host of ready-to-run-programs and worked examples, illuminating general principles and geometric techniques. Ideal for classroom use or self-study, it provides a perfect foundation for programming computer graphics using Java. The publisher, John Wiley and Sons Reinforcing concepts with useful and simple examples, this book explores both elementary and advance topics--from producing simple graphical objects to using applied geometry to create vectors and polygons and finally to rotating and transforming these graphical objects. It provides both classic graphics algorithms as well as particular effects such as perspective drawings. Ready-to-run programs and worked examples illuminate the principles and techniques for creating 2d and 3d objects. Table of Contents Computer Graphics for Java Programmers, Second Edition Preface Chapter 1 - Elementary Co Read more...

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