Algebraic Computing With Reduce
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Algebraic Computing With Reduce
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Author : M. A. H. MacCallum
language : en
Publisher:
Release Date : 2023
Algebraic Computing With Reduce written by M. A. H. MacCallum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Algebra categories.
REDUCE is a simple computer algebra system which enables users to manipulate complex algebraic expressions and equations symbolically. This introductory textbook aims to provide students with a knowledge of the full range of REDUCE commands.
Algebraic Computing With Reduce
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Author : M. A. H. MacCallum
language : en
Publisher: Oxford University Press, USA
Release Date : 1991
Algebraic Computing With Reduce written by M. A. H. MacCallum and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Explains how to use REDUCE, a widely available computer algebra system, as a supplement to the guide that comes with the product. For undergraduate and graduate students with a background in algebra. Annotation copyrighted by Book News, Inc., Portland, OR
Reduce
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Author : Gerhard Rayna
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-12
Reduce written by Gerhard Rayna 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 2013-12-12 with Computers categories.
CONTRIBUTED BY DR. ANTHONY C. HEARN THE RAND CORPORATION, SANTA MONICA, CALIFORNIA REDUCE is a computer program for algebraic computation that IS III world-wide use by thousands of scientists, engineers, and mathematicians. Although it traces its beginnings to 1963, until recently it has only been available on main-frame computers because of its relatively large resource requirements. In 1980 I predicted (1) that by the mid-1980's it would be possible to obtain personal computers in the $10,000 $20,000 range capable of running REDUCE. I am therefore delighted to see that machines of the power of the IBM PC can now run this system, even though these computers are more modestly priced than my 1980 vision of the personal algebra machine. In addition to the need for the more widespread access that personal computers can now provide, there has been a longstanding need for a textbook to help the beginning user become better acquainted with the system. I am therefore very glad that Dr. Rayna has undertaken to write such a book, just as the era of the REDUCE personal algebra machine is beginning. In order to understand the nature of REDUCE, a little history is in order. In 1963 I met Dr. John McCarthy, the inventor of LISP.
Computer Algebra Handbook
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Author : Johannes Grabmeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algebra Handbook written by Johannes Grabmeier 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.
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 With Lisp And Reduce
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Author : F. Brackx
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Computer Algebra With Lisp And Reduce written by F. Brackx 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 2013-03-07 with Computers categories.
One service mathematics has rendered the tEL moi ... si j'avait su comment en revenir. je n'y serais point alle'.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense', The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science ... '; 'One service category theory has rendered mathematics, ..'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.
A Guide To Computer Algebra Systems
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Author : David Harper
language : en
Publisher: John Wiley & Sons
Release Date : 1991
A Guide To Computer Algebra Systems written by David Harper and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
An introduction to computer algebra with a description and comparison of the most popular computer algebra systems. The authors take a critical look at all the popular computer algebra systems - REDUCE, MACSYMA, Maple, Mathematica and Derive.
Computer Algebra
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Author : James Harold Davenport
language : en
Publisher:
Release Date : 1993
Computer Algebra written by James Harold Davenport and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
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.
Quantum Mechanics Using Computer Algebra
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Author : Willi-Hans Steeb
language : en
Publisher: World Scientific
Release Date : 1994
Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Solving problems in quantum mechanics is an essential skill and research activity for scientists, engineers and others. Nowadays the labor of scientific computation has been greatly eased by the advent of computer algebra packages. These do not merely perform number-crunching tasks, but enable users to manipulate algebraic expressions and equations symbolically. For example, differentiation and integration can now be carried out algebraically by the computer.This book collects standard and advanced methods in quantum mechanics and implements them using REDUCE, a popular computer algebra package. Throughout, sample programs and their output have been displayed alongside explanatory text, making the book easy to follow. Selected problems have also been implemented using two other popular packages, MATHEMATICA and MAPLE, and in the object-oriented programming language C++.Besides standard quantum mechanical techniques, modern developments in quantum theory are also covered. These include Fermi and Bose Operators, coherent states, gauge theory and quantum groups. All the special functions relevant to quantum mechanics (Hermite, Chebyshev, Legendre and more) are implemented.The level of presentation is such that one can get a sound grasp of computational techniques early on in one's scientific education. A careful balance is struck between practical computation and the underlying mathematical concepts, making the book well-suited for use with quantum mechanics courses.
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 : Richard Pavelle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Computer Algebra written by Richard Pavelle 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.
Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume.