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Algorithms for Computer Algebra

Algorithms for Computer Algebra
Author: Keith O. Geddes
Publisher: Springer Science & Business Media
Total Pages: 594
Release: 2007-06-30
Genre: Computers
ISBN: 0585332479

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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.


Computer Algebra Handbook

Computer Algebra Handbook
Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
Total Pages: 656
Release: 2012-12-06
Genre: Computers
ISBN: 3642558267

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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.


Computer Algebra and Symbolic Computation

Computer Algebra and Symbolic Computation
Author: Joel S. Cohen
Publisher: CRC Press
Total Pages: 472
Release: 2003-01-03
Genre: Computers
ISBN: 1439863709

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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


Computer Algebra

Computer Algebra
Author: Edmund A. Lamagna
Publisher: CRC Press
Total Pages: 350
Release: 2019-01-15
Genre: Mathematics
ISBN: 1351605836

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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


Modern Computer Algebra

Modern Computer Algebra
Author: Joachim von zur Gathen
Publisher: Cambridge University Press
Total Pages: 811
Release: 2013-04-25
Genre: Computers
ISBN: 1107039037

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Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.


Computer Algebra and Symbolic Computation

Computer Algebra and Symbolic Computation
Author: Joel S. Cohen
Publisher: CRC Press
Total Pages: 323
Release: 2002-07-19
Genre: Computers
ISBN: 1439863695

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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


Python for Scientists

Python for Scientists
Author: John M. Stewart
Publisher: Cambridge University Press
Total Pages: 272
Release: 2017-07-20
Genre: Computers
ISBN: 1316641236

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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.


Computer Algebra Systems

Computer Algebra Systems
Author: Michael J. Wester
Publisher: Wiley-Blackwell
Total Pages: 464
Release: 1999-07-16
Genre: Computers
ISBN:

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This thorough overview of the major computer algebra (symbolic mathematical) systems compares and contrasts their strengths and weaknesses, and gives tutorial information for using these systems in various ways. * Compares different packages quantitatively using standard 'test suites' * Ideal for assessing the most appropriate package for a particular user or application * Examines the performance and future developments from a user's and developer's viewpoint Internationally recognized specialists overview both the general and special purpose systems and discuss issues such as denesting nested roots, complex number calculations, efficiently computing special polynomials, solving single equations and systems of polynomial equations, computing limits, multiple integration, solving ordinary differential and nonlinear evolution equations, code generation, evaluation and computer algebra in education. The historical origins, computer algebra resources and equivalents for many common operations in seven major packages are also covered. By providing such a comprehensive survey, the experienced user is able to make an informed decision on which system(s) he or she might like to use. It also allows a user new to computer algebra to form an idea of where to begin. Since each system looked at in this book uses a different language, many examples are included to aid the user in adapting to these language differences. These examples can be used as a guide to using the various systems once one understands the basic principles of one CAS. The book also includes contributions which look at the broad issues of the needs of various users and future developments, both from the user's and the developer's viewpoint. The author is a leading figure in the development and analysis of mathematical software and is well known through the 'Wester test suite' of problems which provide a bench mark for measuring the performance of mathematical software systems. The book will help develop our range of titles for applied mathematcians. The book will provide a unique, fully up-to-date and independent assessment of particular systems and will be of interest to users and purchasers of CAS's.


Computer Algebra

Computer Algebra
Author: James Harold Davenport
Publisher:
Total Pages: 328
Release: 1993
Genre: Computers
ISBN:

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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.