Elements of Algebra and Algebraic Computing

Elements of Algebra and Algebraic Computing PDF Author: John D. Lipson
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 368

Book Description


Computer Algebra Handbook

Computer Algebra Handbook PDF Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
ISBN: 3642558267
Category : Computers
Languages : en
Pages : 656

Book Description
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.

Elements of Computer Algebra with Applications

Elements of Computer Algebra with Applications PDF Author: Alkiviadis G. Akritas
Publisher:
ISBN:
Category :
Languages : en
Pages : 425

Book Description


Computer Algebra

Computer Algebra PDF Author: R. Albrecht
Publisher: Springer Science & Business Media
ISBN: 3709134064
Category : Computers
Languages : en
Pages : 282

Book Description
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.

Computing in Algebraic Geometry

Computing in Algebraic Geometry PDF Author: Wolfram Decker
Publisher: Springer Science & Business Media
ISBN: 3540289933
Category : Mathematics
Languages : en
Pages : 331

Book Description
This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Viktor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 3642572014
Category : Computers
Languages : en
Pages : 431

Book Description
Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000

Algebra for Computer Science

Algebra for Computer Science PDF Author: Lars Garding
Publisher: Springer Science & Business Media
ISBN: 1461387973
Category : Mathematics
Languages : en
Pages : 206

Book Description
The aim of this book is to teach the reader the topics in algebra which are useful in the study of computer science. In a clear, concise style, the author present the basic algebraic structures, and their applications to such topics as the finite Fourier transform, coding, complexity, and automata theory. The book can also be read profitably as a course in applied algebra for mathematics students.

Geometric Algebra: An Algebraic System for Computer Games and Animation

Geometric Algebra: An Algebraic System for Computer Games and Animation PDF Author: John A. Vince
Publisher: Springer Science & Business Media
ISBN: 1848823797
Category : Computers
Languages : en
Pages : 203

Book Description
Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design. Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and communicates to the reader new and unusual mathematical concepts using colour illustrations, tabulations, and easy-to-follow algebraic proofs. The book includes many worked examples to show how the algebra works in practice and is essential reading for anyone involved in designing 3D geometric algorithms.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Vladimir P. Gerdt
Publisher: Springer
ISBN: 3319240218
Category : Computers
Languages : en
Pages : 508

Book Description
This book constitutes the proceedings of the 17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015, held in Aachen, Germany, in September 2015. The 35 full papers presented in this volume were carefully reviewed and selected from 42 submissions. They deal with the ongoing progress both in theoretical computer algebra and its expanding applications. New and closer interactions are fostered by combining the area of computer algebra methods and systems and the application of the tools of computer algebra for the solution of problems in scientific computing.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Vladimir P. Gerdt
Publisher: Springer
ISBN: 3319663208
Category : Computers
Languages : en
Pages : 419

Book Description
This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.