Computeralgebra
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Computer Algebra
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Author : R. Albrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algebra written by R. Albrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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. . . . . . . . . . . . . .
Computer Algebra In Scientific Computing
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Author : Vladimir P. Gerdt
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-26
Computer Algebra In Scientific Computing written by Vladimir P. Gerdt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Computers categories.
This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.
Computer Algebra
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Author : Wolfram Koepf
language : en
Publisher: Springer Nature
Release Date : 2021-07-11
Computer Algebra written by Wolfram Koepf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-11 with Mathematics categories.
This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima. Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration. Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra.
Computer Algebra
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Author : R. Albrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Computer Algebra written by R. Albrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
The journal Computing has established a series of supplement volumes the fourth of which appears this year. Its purpose is to provide a coherent presentation of a new topic in a single volume. The previous subjects were Computer Arithmetic 1977, Fundamentals of Numerical Computation 1980, and Parallel Processes and Related Automata 1981; the topic of this 1982 Supplementum to Computing is Computer Algebra. This subject, which emerged in the early nineteen sixties, has also been referred to as "symbolic and algebraic computation" or "formula manipulation". Algebraic algorithms have been receiving increasing interest as a result of the recognition of the central role of algorithms in computer science. They can be easily specified in a formal and rigorous way and provide solutions to problems known and studied for a long time. Whereas traditional algebra is concerned with constructive methods, computer algebra is furthermore interested in efficiency, in implementation, and in hardware and software aspects of the algorithms. It develops that in deciding effectiveness and determining efficiency of algebraic methods many other tools - recursion theory, logic, analysis and combinatorics, for example - are necessary. In the beginning of the use of computers for symbolic algebra it soon became apparent that the straightforward textbook methods were often very inefficient. Instead of turning to numerical approximation methods, computer algebra studies systematically the sources of the inefficiency and searches for alternative algebraic methods to improve or even replace the algorithms.
Applications Of Computer Algebra
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Author : Ilias S. Kotsireas
language : en
Publisher: Springer
Release Date : 2017-07-26
Applications Of Computer Algebra written by Ilias S. Kotsireas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Mathematics categories.
The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.
Computer Algebra In Scientific Computing
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Author : Viktor G. Ganzha
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algebra In Scientific Computing written by Viktor G. Ganzha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000
Polynomial Algorithms In Computer Algebra
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Author : Franz Winkler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Polynomial Algorithms In Computer Algebra written by Franz Winkler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 1990 and 1992 I have organized and taught summer schools in computer algebra at the Universitat Linz. Gradually a set of course notes has emerged from these activities. People have asked me for copies of the course notes, and different versions of them have been circulating for a few years. Finally I decided that I should really take the time to write the material up in a coherent way and make a book out of it. Here, now, is the result of this work. Over the years many students have been helpful in improving the quality of the notes, and also several colleagues at Linz and elsewhere have contributed to it. I want to thank them all for their effort, in particular I want to thank B. Buchberger, who taught me the theory of Grabner bases nearly two decades ago, B. F. Caviness and B. D. Saunders, who first stimulated my interest in various problems in computer algebra, G. E. Collins, who showed me how to compute in algebraic domains, and J. R. Sendra, with whom I started to apply computer algebra methods to problems in algebraic geometry. Several colleagues have suggested improvements in earlier versions of this book. However, I want to make it clear that I am responsible for all remaining mistakes.
Computer Algebra
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Author : Edmund A. Lamagna
language : en
Publisher: CRC Press
Release Date : 2019-01-15
Computer Algebra written by Edmund A. Lamagna and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-15 with Mathematics categories.
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
Algorithms And Techniques In Computer Algebra
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-15
Algorithms And Techniques In Computer Algebra written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-15 with Mathematics categories.
**Algorithms and Techniques in Computer Algebra** provides a comprehensive introduction to this rapidly developing field, covering the basic concepts, core algorithms, and practical applications of computer algebra. Suitable for both undergraduate and graduate students in computer science, mathematics, and engineering, this book is an essential resource for anyone looking to master the essential concepts and techniques of computer algebra. With in-depth explanations, illustrative examples, and comprehensive exercises, this book covers a wide range of topics, from the basic concepts of field theory and ring theory to advanced topics such as Gröbner bases and analytic integration. It also includes a chapter dedicated to recent developments and open problems in computer algebra, keeping readers abreast of the latest advancements in the field. One of the key strengths of **Algorithms and Techniques in Computer Algebra** is its focus on practical applications. It demonstrates how computer algebra can be used to solve real-world problems in various fields, including cryptography, coding theory, robotics, computer graphics, and artificial intelligence. This makes the book not only a valuable resource for students but also a practical guide for professionals seeking to apply computer algebra to their work. Whether you are a seasoned professional looking to expand your knowledge or a beginner seeking to understand the fundamentals of computer algebra, **Algorithms and Techniques in Computer Algebra** is the perfect resource for you. With its clear and concise explanations, illustrative examples, and comprehensive exercises, this book will help you master the essential concepts and techniques of this exciting field. If you like this book, write a review!
Computer Algebra In Scientific Computing
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Author : Victor G. Ganzha
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-30
Computer Algebra In Scientific Computing written by Victor G. Ganzha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-30 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing, CASC 2005, held in Kalamata, Greece in September 2005. The 41 revised full papers presented were carefully reviewed and selected from 75 submissions. The topics addressed in the workshop cover all the basic areas of scientific computing as they benefit from the application of computer algebra methods and software: algebraic methods for nonlinear polynomial equations and inequalities, symbolic-numeric methods for differential and differential-algebraic equations, algorithmic and complexity considerations in computer algebra, algebraic methods in geometric modelling, aspects of computer algebra programming languages, automatic reasoning in algebra and geometry, complexity of algebraic problems, exact and approximate computation, parallel symbolic-numeric computation, Internet accessible symbolic and numeric computation, problem-solving environments, symbolic and numerical computation in systems engineering and modelling, computer algebra in industry, solving problems in the natural sciences, numerical simulation using computer algebra systems, mathematical communication.