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Computer Algebra With Lisp And Reduce
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Book Synopsis Computer Algebra with LISP and REDUCE by : F. Brackx
Download or read book Computer Algebra with LISP and REDUCE written by F. Brackx and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book REDUCE Computer Algebra System written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents REDUCE, an interactive computer program that is designed for general algebraic computations of interest to mathematicians, scientists, and engineers. Includes information about REDUCE and its capabilities, copyright information, documentation, the REDUCE network library, LISP programming language, symbolic mode, the user manual, and other items. Offers access to online demonstration versions. Provides ordering information.
Download or read book Reduce written by Gerhard Rayna and published by Springer Science & Business Media. This book was released on 2013-12-12 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computer Algebra by : James Harold Davenport
Download or read book Computer Algebra written by James Harold Davenport and published by . This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic Computing with REDUCE by : M. A. H. MacCallum
Download or read book Algebraic Computing with REDUCE written by M. A. H. MacCallum and published by Oxford University Press, USA. This book was released on 1991 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applications of Computer Algebra by : Richard Pavelle
Download or read book Applications of Computer Algebra written by Richard Pavelle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computer Algebra Systems by : Michael J. Wester
Download or read book Computer Algebra Systems written by Michael J. Wester and published by Wiley-Blackwell. This book was released on 1999-07-16 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algorithms for Computer Algebra by : Keith O. Geddes
Download or read book Algorithms for Computer Algebra written by Keith O. Geddes and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algorithmic Algebra by : Bhubaneswar Mishra
Download or read book Algorithmic Algebra written by Bhubaneswar Mishra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra or understand the algorithms underlying many popular symbolic computational systems: Mathematica, Maple or Axiom, for instance. Also, researchers in robotics, solid modeling, computational geometry and automated theorem proving community may find it useful as symbolic algebraic techniques have begun to play an important role in these areas. The book, while being self-contained, is written at an advanced level and deals with the subject at an appropriate depth. The book is accessible to computer science students with no previous algebraic training. Some mathematical readers, on the other hand, may find it interesting to see how algorithmic constructions have been used to provide fresh proofs for some classical theorems. The book also contains a large number of exercises with solutions to selected exercises, thus making it ideal as a textbook or for self-study.
Book Synopsis Rlisp '88: An Evolutionary Approach To Program Design And Reuse by : J Marti
Download or read book Rlisp '88: An Evolutionary Approach To Program Design And Reuse written by J Marti and published by World Scientific. This book was released on 1993-09-21 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The RLISP '88 programming system introduces an evolutionary approach to software development that enables small groups of programmers to advance the state of the art over a period of many years. Each new system is built on top of the old; yet, like an Irishman's hammer, little remains of the original program code. This book presents a style of durable programming for domain specialists and computer scientists alike. Exercises at the end of each chapter encourage its use as a textbook.
Book Synopsis SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming by : Kiat Shi Tan
Download or read book SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming written by Kiat Shi Tan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic C++: An Introduction to Computer Algebra Using Object-Oriented Programming provides a concise introduction to C++ and object-oriented programming, using a step-by-step construction of a new object-oriented designed computer algebra system - Symbolic C++. It shows how object-oriented programming can be used to implement a symbolic algebra system and how this can then be applied to different areas in mathematics and physics. This second revised edition:- * Explains the new powerful classes that have been added to Symbolic C++. * Includes the Standard Template Library. * Extends the Java section. * Contains useful classes in scientific computation. * Contains extended coverage of Maple, Mathematica, Reduce and MuPAD.
Download or read book Common LISP written by David S. Touretzky and published by Courier Corporation. This book was released on 2014-02-20 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly accessible treatment covers cons cell structures, evaluation rules, programs as data, recursive and applicable programming styles. Nearly 400 illustrations, answers to exercises, "toolkit" sections, and a variety of complete programs. 1990 edition.
Book Synopsis Computer Algebra in Scientific Computing by : Viktor G. Ganzha
Download or read book Computer Algebra in Scientific Computing written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000
Book Synopsis Algebraic Computing with REDUCE by : M. A. H. MacCallum
Download or read book Algebraic Computing with REDUCE written by M. A. H. MacCallum and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computer Algebra and Polynomials by : Jaime Gutierrez
Download or read book Computer Algebra and Polynomials written by Jaime Gutierrez and published by Springer. This book was released on 2015-01-20 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
Book Synopsis Computer Algebra with SymbolicC++ by : Yorick Hardy
Download or read book Computer Algebra with SymbolicC++ written by Yorick Hardy and published by World Scientific. This book was released on 2008 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1973 Professor Akensone(tm)s book traces the series of religious and political controversies which have battered the state schools of Northern Ireland. After the governmente(tm)s admirably intentioned, but muddled, attempt to create a non-sectarian school system in the early 1920s, the educational system was progressively manipulated by sectarianism. The way in which the author describes how children are schooled reveals a great deal about the attitudes and values of the parental generation and also helps to explain the actions of later generations.
Book Synopsis Computer Algebra Handbook by : Johannes Grabmeier
Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
