Some Tapas Of Computer Algebra

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Some Tapas of Computer Algebra

Arjeh M. Cohen,Hans Cuypers,Hans Sterk
Some Tapas of Computer Algebra Book PDF

Author : Arjeh M. Cohen,Hans Cuypers,Hans Sterk
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 55,8 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662038918

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Some Tapas of Computer Algebra by Arjeh M. Cohen,Hans Cuypers,Hans Sterk Pdf

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.

Tapas in Experimental Mathematics

Tewodros Amdeberhan,Victor H. Moll
Tapas in Experimental Mathematics Book PDF

Author : Tewodros Amdeberhan,Victor H. Moll
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 54,7 Mb
Release : 2008
Category : Experimental mathematics
ISBN : 9780821843178

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Tapas in Experimental Mathematics by Tewodros Amdeberhan,Victor H. Moll Pdf

Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

Computer Algebra Handbook

Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Computer Algebra Handbook Book PDF

Author : Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642558269

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Computer Algebra Handbook by Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning Pdf

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.

Codes, Cryptology and Curves with Computer Algebra

Ruud Pellikaan,Xin-Wen Wu,Stanislav Bulygin,Relinde Jurrius
Codes Cryptology and Curves with Computer Algebra Book PDF

Author : Ruud Pellikaan,Xin-Wen Wu,Stanislav Bulygin,Relinde Jurrius
Publisher : Cambridge University Press
Page : 611 pages
File Size : 44,7 Mb
Release : 2017-11-02
Category : Language Arts & Disciplines
ISBN : 9780521817110

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Codes, Cryptology and Curves with Computer Algebra by Ruud Pellikaan,Xin-Wen Wu,Stanislav Bulygin,Relinde Jurrius Pdf

Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

Algorithms in Real Algebraic Geometry

Saugata Basu,Richard Pollack,Marie-Françoise Coste-Roy
Algorithms in Real Algebraic Geometry Book PDF

Author : Saugata Basu,Richard Pollack,Marie-Françoise Coste-Roy
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 55,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662053553

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Algorithms in Real Algebraic Geometry by Saugata Basu,Richard Pollack,Marie-Françoise Coste-Roy Pdf

In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.

Algorithms for Computer Algebra

Keith O. Geddes,Stephen R. Czapor,George Labahn
Algorithms for Computer Algebra Book PDF

Author : Keith O. Geddes,Stephen R. Czapor,George Labahn
Publisher : Springer Science & Business Media
Page : 594 pages
File Size : 43,6 Mb
Release : 2007-06-30
Category : Computers
ISBN : 9780585332475

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Algorithms for Computer Algebra by Keith O. Geddes,Stephen R. Czapor,George Labahn Pdf

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.

Discrete and Computational Geometry

Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Discrete and Computational Geometry Book PDF

Author : Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Publisher : Springer Science & Business Media
Page : 853 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642555664

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Discrete and Computational Geometry by Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir Pdf

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

Commutative Algebra Methods for Coding Theory

Ştefan Ovidiu I. Tohăneanu
Commutative Algebra Methods for Coding Theory Book PDF

Author : Ştefan Ovidiu I. Tohăneanu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 276 pages
File Size : 47,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9783111214795

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Commutative Algebra Methods for Coding Theory by Ştefan Ovidiu I. Tohăneanu Pdf

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.

Topics in Algebraic Graph Theory

Lowell W. Beineke,Robin J. Wilson,Peter J. Cameron
Topics in Algebraic Graph Theory Book PDF

Author : Lowell W. Beineke,Robin J. Wilson,Peter J. Cameron
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,6 Mb
Release : 2004-10-04
Category : Mathematics
ISBN : 9781107079458

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Topics in Algebraic Graph Theory by Lowell W. Beineke,Robin J. Wilson,Peter J. Cameron Pdf

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references.

Modern Computer Algebra

Joachim von zur Gathen,Jürgen Gerhard
Modern Computer Algebra Book PDF

Author : Joachim von zur Gathen,Jürgen Gerhard
Publisher : Cambridge University Press
Page : 811 pages
File Size : 40,6 Mb
Release : 2013-04-25
Category : Computers
ISBN : 9781107039032

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Modern Computer Algebra by Joachim von zur Gathen,Jürgen Gerhard Pdf

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

Algebra, Geometry and Software Systems

Michael Joswig,Nobuki Takayama
Algebra Geometry and Software Systems Book PDF

Author : Michael Joswig,Nobuki Takayama
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 49,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662051481

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Algebra, Geometry and Software Systems by Michael Joswig,Nobuki Takayama Pdf

A collection of surveys and research papers on mathematical software and algorithms. The common thread is that the field of mathematical applications lies on the border between algebra and geometry. Topics include polyhedral geometry, elimination theory, algebraic surfaces, Gröbner bases, triangulations of point sets and the mutual relationship. This diversity is accompanied by the abundance of available software systems which often handle only special mathematical aspects. This is why the volume also focuses on solutions to the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general frameworks for modular systems.

Using Algebraic Geometry

David A Cox,John Little,Donal O'Shea
Using Algebraic Geometry Book PDF

Author : David A Cox,John Little,Donal O'Shea
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 45,8 Mb
Release : 2005-03-17
Category : Mathematics
ISBN : 0387207333

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Using Algebraic Geometry by David A Cox,John Little,Donal O'Shea Pdf

The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.

A Singular Introduction to Commutative Algebra

Gert-Martin Greuel,Gerhard Pfister
A Singular Introduction to Commutative Algebra Book PDF

Author : Gert-Martin Greuel,Gerhard Pfister
Publisher : Springer Science & Business Media
Page : 601 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783662049631

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A Singular Introduction to Commutative Algebra by Gert-Martin Greuel,Gerhard Pfister Pdf

This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD containing Singular as well as the examples and procedures explained in the book.

Computer Algebra in Scientific Computing

V.G. Ganzha,E.W. Mayr,E.V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : V.G. Ganzha,E.W. Mayr,E.V. Vorozhtsov
Publisher : Springer
Page : 460 pages
File Size : 43,9 Mb
Release : 2007-09-04
Category : Computers
ISBN : 9783540751878

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Computer Algebra in Scientific Computing by V.G. Ganzha,E.W. Mayr,E.V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 10th International Workshop on Computer Algebra in Scientific Computing, CASC 2007, held in Bonn, Germany, in September 2007. The volume is dedicated to Professor Vladimir P. Gerdt on the occasion of his 60th birthday. The papers cover not only various expanding applications of computer algebra to scientific computing but also the computer algebra systems themselves and the CA algorithms.

Computer Mathematics

Kiyoshi Shirayanagi,Kazuhiro Yokoyama
Computer Mathematics Book PDF

Author : Kiyoshi Shirayanagi,Kazuhiro Yokoyama
Publisher : World Scientific
Page : 241 pages
File Size : 51,7 Mb
Release : 2001
Category : Computers
ISBN : 9789810247638

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Computer Mathematics by Kiyoshi Shirayanagi,Kazuhiro Yokoyama Pdf

This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference.