Algebra for Symbolic Computation

2012
ISBN: 978-88-470-2396-3
Verlag: Springer Milan

Buch, Englisch, 180 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g

Reihe: UNITEXT

This book deals with several topics in algebra useful for computer science applications and the symbolic treatment of algebraic problems, pointing out and discussing their algorithmic nature. The topics covered range from classical results such as the Euclidean algorithm, the Chinese remainder theorem, and polynomial interpolation, to p-adic expansions of rational and algebraic numbers and rational functions, to reach the problem of the polynomial factorisation,  especially via Berlekamp’s method, and the discrete Fourier transform. Basic algebra concepts are revised in a form suited for implementation on a computer algebra system.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Machi, Antonio

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

The Euclidean algorithm, the Chinese remainder theorem and interpolation.- p-adic series expansion.- The resultant.- Factorisation of polynomials.- The discrete Fourier transform.