Computer Algebra: An Algorithm-Oriented Introduction - Couverture souple

Koepf, Wolfram

9783030780197: Computer Algebra: An Algorithm-Oriented Introduction

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ISBN 10 : 3030780198 ISBN 13 : 9783030780197

Editeur : Springer, 2022

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This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima.

Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration.

Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Wolfram Koepf is Professor of Mathematics (retired) at the University of Kassel. He is a leading expert in computer algebra. Between 2002 and 2010 he was the Chairman of the Fachgruppe Computeralgebra, the largest computer algebra group worldwide. He has organized numerous conferences and workshops around the world, including the International Symposium on Symbolic and Algebraic Computation (ISSAC) 2010 as general chair, and a cooperation with the African Institute of Mathematical Sciences Cameroon in 2017 and 2018. In addition to his prolific research and organizational activities, he has a strong interest in education and teacher preparation. He is also a member of the executive committee of the German Mathematical Union (DMV).

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2022
ISBN 10 3030780198
ISBN 13 9783030780197
ReliureBroch�
Langueanglais
Nombre de pages396
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Computer Algebra

Wolfram Koepf

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ISBN 10 : 3030780198 ISBN 13 : 9783030780197

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Computer Algebra

Koepf, Wolfram

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ISBN 10 : 3030780198 ISBN 13 : 9783030780197

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementati. N� de r�f. du vendeur 628806806

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Computer Algebra : An Algorithm-Oriented Introduction

Wolfram Koepf

Edit� par Springer International Publishing, Springer International Publishing, 2022

ISBN 10 : 3030780198 ISBN 13 : 9783030780197

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima.Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration.Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra. N� de r�f. du vendeur 9783030780197

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Computer Algebra

Wolfram Koepf

Edit� par Springer International Publishing Jul 2022, 2022

ISBN 10 : 3030780198 ISBN 13 : 9783030780197

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. Neuware -This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima.Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration.Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra. 396 pp. Englisch. N� de r�f. du vendeur 9783030780197

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