Maurice Mignotte's Books

Mathematics for Computer Algebra

By: Maurice Mignotte

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Mathematics for Computer Algebra

By: Maurice Mignotte

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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357

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Springer Science & Business Media

Published Date

ISBN 10

1461391717

ISBN 13

9781461391715

The Problem of Catalan

By: Yuri F. Bilu,Yann Bugeaud,Maurice Mignotte

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The Problem of Catalan

By: Yuri F. Bilu,Yann Bugeaud,Maurice Mignotte

In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 – 23 = 1 is the only solution of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ 0 and p, q ≥ 2. In this book we give a complete and (almost) self-contained exposition of Mihăilescu’s work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.

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251

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Springer

Published Date

ISBN 10

3319100947

ISBN 13

9783319100944

Chouannerie and Counter-Revolution, Part 1

Puisaye, the Princes and the British Government in the 1790s

By: Maurice Hutt

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Chouannerie and Counter-Revolution, Part 1

Puisaye, the Princes and the British Government in the 1790s

By: Maurice Hutt

Chouannerie had its origins in the rifts which opened in Breton society during the French Revolution. Mounting resistance to the Republicans led to a civil war whose bitterness was exacerbated by the involvement of outsiders; for Chouannerie offered a chance of bringing down the Republic. That was the aim of count Joseph de Puisaye; of the British government, yet again at war with the French; and of the Bourbon Princes in exile, who nevertheless feared that the insurgents in Brittany might prove too independent, and that their perfidious allies in Britain be more dangerous than useful. This carefully documented study sifts the legends and unravels the misrepresentations which have been transmitted by royalist Whites and republican Blues. This has entailed the extensive use of a mass of archival material, much of which is being systematically used for the first time.

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392

Publisher

Cambridge University Press

Published Date

ISBN 10

052126071X

ISBN 13

9780521260718

Mathematics for Computer Algebra

By: Maurice Mignotte

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Mathematics for Computer Algebra

By: Maurice Mignotte

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Solve jigsaw puzzle

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Page Count

357

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461391717

ISBN 13

9781461391715

Book's by Maurice Mignotte

Mathematics for Computer Algebra

Mathematics for Computer Algebra

The Problem of Catalan

The Problem of Catalan

Chouannerie and Counter-Revolution, Part 1

Chouannerie and Counter-Revolution, Part 1

Mathematics for Computer Algebra

Mathematics for Computer Algebra

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