Computer Algebra

An Algorithm-Oriented Introduction

Inbunden, Engelska, 2021

AvWolfram Koepf

759 kr

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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.

Produktinformation

Utgivningsdatum2021-07-12
Mått178 x 254 x 26 mm
Vikt1 029 g
FormatInbunden
SpråkEngelska
SerieSpringer Undergraduate Texts in Mathematics and Technology
Antal sidor384
FörlagSpringer Nature Switzerland AG
ISBN9783030780166
OriginaltitelComputeralgebra - Eine algorithmisch orientierte Einführung

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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).

1. Introduction to Computer Algebra.- 2. Programming in Computer Algebra Systems.- 3. Number Systems and Integer Arithmetic.- 4. Modular Arithmetic.- 5. Coding Theory and Cryptography.- 6. Polynomial Arithmetic.- 7. Algebraic Numbers.- 8. Factorization in Polynomial Rings.- 9. Simplification and Normal Forms.- 10. Power Series.- 11. Algorithmic Summation.- 12. Algorithmic Integration.- References.- List of Symbols.- Mathematica List of Keywords.- Index.

“Strong interplay between the abstract exposition, which includes the relevant theorems as well as their proofs, and the practical utilization of those concepts in Mathematica is certainly a remarkable feature of this textbook. … Overall, the book is very well written and the approach to provide examples as actual Mathematica sessions is commendable.” (Andreas Maletti, zbMATH 1484.68004, 2022)