EAN: 9783030780166

COMPUTER ALGEBRA - WOLFRAM KOEPF GEBUNDEN

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.

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