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25 Remote Warehouse Mathematics- Algebra

Algorithms and Computation in Mathematics #4: Some Tapas of Computer Algebra

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Algorithms and Computation in Mathematics #4: Some Tapas of Computer Algebra Cover

 

Synopses & Reviews

Publisher Comments:

This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its chapters present a variety of topics in computer algebra at an accessible (upper undergraduate/graduate) level with a view towards recent developments. For those wanting to acquaint themselves somewhat further with the material, the book also contains seven 'projects', which could serve as practical sessions related to one or more chapters. The contributions focus on topics like Gröbner bases, real algebraic geometry, Lie algebras, factorisation of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must-read for everybody interested in computer algebra.

Synopsis:

This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.

Table of Contents

Preface.- Chapt. 1. Gröbner Bases, an Introduction by A.M.Cohen.- Chapt. 2. Symbolic Recipes for Polynomial System Solving by L.Gonzalez-Vega, F.Rouillier, M.-F.Roy.- Chapt. 3. Lattice Reduction by F.Beukers.- Chapt. 4. Factorization of Polynomials by F.Beukers.- Chapt. 5. Computation in Associative and Lie Algebras by G.Ivanyos and L.Rónyai.- Chapt. 6. Symbolic Recipes for Real Solutions by L.Gonzalez-Vega, F.Rouillier, M.-F.Roy, G.Trujillo.- Chapt. 7. Gröbner Bases and Integer Programming by G.M.Ziegler.- Chapt. 8. Working With Finite Groups by H.Cuypers, L.H.Soicher, H.Sterk.- Chapt.9. Symbolic Analysis of Differential Equations by M.van der Put.- Chapt. 10. Gröbner Bases for Codes by M. de Boer, R.Pellikaan.- Chapt. 11. Gröbner Bases for Decoding by M. de Boer, R.Pellikaan.- Project 1. Automatic Geometry Theorem Proving by T.Recio, H.Sterk, M.P.Vélez.- Project 2. The Birkhoff Interpolation Problem by M.-J. Gonzalez-Lopez, L.Gonzalez-Vega.- Project 3. The Inverse Kinematics Problem in Robotics by M.-J.Gonzalez-Lopez, L.Gonzalez-Vega.- Project 4. Quaternion Algebras by G.Ivanyos, L. Rónyai.- Project 5. Explorations with the Icosahedral Group by A.M.Cohen, H.Cuypers, R.Riebeek.- Project 6. The Small Mathieu Groups by H.Cuypers, L.H.Soicher, H.Sterk.- Project 7. The Golay Codes by M. de Boer, R.Pellikaan

Product Details

ISBN:
9783540634805
Editor:
Cohen, Arjeh M.
Editor:
Cohen, H.
Editor:
Cohen, Arjeh M.
Editor:
Cohen, H.
Author:
Cohen, Arjeh M.
Author:
Sterk, Hans
Author:
Cuypers, Hans
Editor:
Becker, E.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
General
Subject:
Data processing
Subject:
Algebra
Subject:
Algebra - General
Subject:
Computer Mathematics
Subject:
Discrete Mathematics
Subject:
Algebra -- Data processing.
Subject:
Applied
Subject:
Computer Algebra
Subject:
Algorithms
Subject:
Symbolic and Algebraic Manipulation
Subject:
Combinatorics
Subject:
Mathematics - Algebra
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Algebra_xData processing
Copyright:
Edition Description:
Book
Series:
Algorithms and Computation in Mathematics,
Series Volume:
v. 4
Publication Date:
19981222
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
366
Dimensions:
235 x 155 mm 660 gr

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Related Subjects

Computers and Internet » Computers Reference » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Applied

Algorithms and Computation in Mathematics #4: Some Tapas of Computer Algebra New Hardcover
0 stars - 0 reviews
$87.75 In Stock
Product details 366 pages Springer - English 9783540634805 Reviews:
"Synopsis" by , This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.
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