Polynomial Algorithms In Computer Algebra

Author: Franz Winkler
Publisher: Springer Science & Business Media
ISBN: 3211827595
Size: 17.64 MB
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The book gives a thorough introduction to the mathematical underpinnings of computer algebra. The subjects treated range from arithmetic of integers and polynomials to fast factorization methods, Gröbner bases, and algorithms in algebraic geometry. The algebraic background for all the algorithms presented in the book is fully described, and most of the algorithms are investigated with respect to their computational complexity. Each chapter closes with a brief survey of the related literature.


Author: Wolfram Koepf
Publisher: Springer-Verlag
ISBN: 9783540298953
Size: 10.88 MB
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Das Lehrbuch führt in das Gebiet der Computeralgebra ein. Neben dem Standardkanon behandelt es Themen für weiterführende Vorlesungen, die bislang nicht in Lehrbuchform erschienen sind. Durch den Einsatz realer Implementierungen anstelle von Pseudocode sind die Algorithmen sofort anwendbar und überprüfbar. Verwendbar mit Mathematica, Maple oder MuPAD. Durch den ausführlichen Index empfiehlt sich der Band auch als Nachschlagewerk.

Computer Algebra With Symbolicc

Author: Yorick Hardy
Publisher: World Scientific
ISBN: 9789812833600
Size: 10.80 MB
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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.

Computer Algebra In Scientific Computing Casc 2001

Author: Viktor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 9783642566660
Size: 13.58 MB
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CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Modern Computer Algebra

Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 9781107039032
Size: 18.40 MB
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Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.

Symbolicc An Introduction To Computer Algebra Using Object Oriented Programming

Author: Kiat Shi Tan
Publisher: Springer Science & Business Media
ISBN: 1852332603
Size: 20.92 MB
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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.