Authors:
- It provides a good way of revising abstract concepts learnt in algebra courses
- It shows the algorithmic nature of many concepts and theorems
- It allows the reader to test his/her knowledge of the computer algebra systems
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
From the reviews:
“The contents of this book is classical. … Many examples illustrate the text and make the mathematical objects very concrete. There are also many practical exercises. … It is clear that a thorough comprehension of these subjects would be greatly simplified if it is accompanied by exercises at the computer. Many examples of algorithms are given in the text, others may be easily deduced from the theory. … this book will be very useful and is very pleasant to read.” (Maurice Mignotte, Zentralblatt MATH, Vol. 1238, 2012)
Authors and Affiliations
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Department of Mathematics, University La Sapienza, Rome, Italy
Antonio Machì
Bibliographic Information
Book Title: Algebra for Symbolic Computation
Authors: Antonio Machì
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-88-470-2397-0
Publisher: Springer Milano
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Italia Srl. 2012
Softcover ISBN: 978-88-470-2396-3Published: 16 March 2012
eBook ISBN: 978-88-470-2397-0Published: 10 July 2012
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: VIII, 180
Topics: Algebra