Mathematics for Computer Algebra - Rilegato

Mignotte, Maurice

 
9780387976754: Mathematics for Computer Algebra
Rilegato
ISBN 10: 0387976752 ISBN 13: 9780387976754
Casa editrice: Springer Verlag, 1991

Sinossi

This book corresponds to a mathematical course given in 1986/87 at the University Louis Pasteur, Strasbourg. This work is primarily intended for graduate students. The following are necessary prerequisites : a few standard definitions in set theory, the definition of rational integers, some elementary facts in Combinatorics (maybe only Newton's binomial formula), some theorems of Analysis at the level of high schools, and some elementary Algebra (basic results about groups, rings, fields and linear algebra). An important place is given to exercises. These exercises are only rarely direct applications of the course. More often, they constitute complements to the text. Mostly, hints or references are given so that the reader should be able to find solutions. Chapters one and two deal with elementary results of Number Theory, for example : the euclidean algorithm, the Chinese remainder theorem and Fermat's little theorem. These results are useful by themselves, but they also constitute a concrete introduction to some notions in abstract algebra (for example, euclidean rings, principal rings ... ). Algorithms are given for arithmetical operations with long integers. The rest of the book, chapters 3 through 7, deals with polynomials. We give general results on polynomials over arbitrary rings. Then polynomials with complex coefficients are studied in chapter 4, including many estimates on the complex roots of polynomials. Some of these estimates are very useful in the subsequent chapters.

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Product Description

Book by Mignotte Maurice

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Editore
Springer Verlag
Data di pubblicazione
1991
Lingua
Inglese
ISBN 10 
0387976752
ISBN 13 
9780387976754
Rilegatura
Copertina rigida
Numero di pagine
360
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
Germania

Altre edizioni note dello stesso titolo

9781461391739: Mathematics for Computer Algebra

Edizione in evidenza

ISBN 10:  1461391733 ISBN 13:  9781461391739
Casa editrice: Springer, 2011
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