Computer Algebra Systems
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| Author | : Keith O. Geddes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 594 |
| Release | : 2007-06-30 |
| Genre | : Computers |
| ISBN | : 0585332479 |
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.
| Author | : Joachim von zur Gathen |
| Publisher | : Cambridge University Press |
| Total Pages | : 811 |
| Release | : 2013-04-25 |
| Genre | : Computers |
| ISBN | : 1107039037 |
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
| Author | : Joel S. Cohen |
| Publisher | : CRC Press |
| Total Pages | : 323 |
| Release | : 2002-07-19 |
| Genre | : Computers |
| ISBN | : 1439863695 |
This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and
| Author | : Edmund A. Lamagna |
| Publisher | : CRC Press |
| Total Pages | : 350 |
| Release | : 2019-01-15 |
| Genre | : Mathematics |
| ISBN | : 1351605836 |
The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience — a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems
| Author | : Johannes Grabmeier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 656 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642558267 |
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
| Author | : Joel S. Cohen |
| Publisher | : CRC Press |
| Total Pages | : 472 |
| Release | : 2003-01-03 |
| Genre | : Computers |
| ISBN | : 1439863709 |
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polyno
| Author | : James Taylor Fey |
| Publisher | : National Council of Teachers of English |
| Total Pages | : 336 |
| Release | : 2003 |
| Genre | : Algebra |
| ISBN | : 9780873535311 |
| Author | : James Harold Davenport |
| Publisher | : |
| Total Pages | : 328 |
| Release | : 1993 |
| Genre | : Computers |
| ISBN | : |
This book still remains the best introduction to computer algebra, catering to both the interested beginner and the experienced pure mathematician and computer scientist. This updated Second Edition provides a comprehensive review, and contains excellent references to fundamental papers and worked examples. In addition to being a general text on the subject, the book includes an appendix describing the use of one particular algebra system-REDUCE.
| Author | : John M. Stewart |
| Publisher | : Cambridge University Press |
| Total Pages | : 272 |
| Release | : 2017-07-20 |
| Genre | : Computers |
| ISBN | : 1316641236 |
Scientific Python is taught from scratch in this book via copious, downloadable, useful and adaptable code snippets. Everything the working scientist needs to know is covered, quickly providing researchers and research students with the skills to start using Python effectively.
| Author | : R. Albrecht |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 282 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3709175518 |
this gap. In sixteen survey articles the most important theoretical results, algorithms and software methods of computer algebra are covered, together with systematic references to literature. In addition, some new results are presented. Thus the volume should be a valuable source for obtaining a first impression of computer algebra, as well as for preparing a computer algebra course or for complementary reading. The preparation of some papers contained in this volume has been supported by grants from the Austrian "Fonds zur Forderung der wissenschaftlichen For schung" (Project No. 3877), the Austrian Ministry of Science and Research (Department 12, Dr. S. Hollinger), the United States National Science Foundation (Grant MCS-8009357) and the Deutsche Forschungsgemeinschaft (Lo-23 1-2). The work on the volume was greatly facilitated by the opportunity for the editors to stay as visitors at the Department of Computer and Information Sciences, University of Delaware, at the General Electric Company Research and Development Center, Schenectady, N. Y. , and at the Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, N. Y. , respectively. Our thanks go to all these institutions. The patient and experienced guidance and collaboration of the Springer-Verlag Wien during all the stages of production are warmly appreciated. The editors of the Cooperative editor of Supplementum Computing B. Buchberger R. Albrecht G. Collins R. Loos Contents Loos, R. : Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . 1 Buchberger, B. , Loos, R. : Algebraic Simplification . . . . . . . . . . 11 Neubiiser, J. : Computing with Groups and Their Character Tables. 45 Norman, A. C. : Integration in Finite Terms. . . . . . . . . . . . . .
