Trois études en arithmétique basique sur les nombres premiers et la décomposition des entiers naturels en produits de facteurs premiers. PDF Download
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Author: Bouchaïb Bahbouhi Publisher: BoD - Books on Demand ISBN: 232250419X Category : Mathematics Languages : fr Pages : 66
Book Description
Ce livre est composé de trois études inédites issues de recherches indépendantes que j'ai réalisées. Elles portent sur la primalité du nombre et la décomposition des entiers naturels en produits de facteurs premiers. Je rapporte pour la première fois une nouvelle propriété des nombres premiers que je nomme forme numérique des nombres premiers (différente de la racine numérique). Je décris aussi une méthode alternative de décomposition des entiers naturels en produits de facteurs premiers basée sur la recherche de facteurs communs entre les deux termes d'une addition qui est égale au nombre à décomposer. L'important c'est d'apporter de la nouveauté et non pas seulement reproduire ce qui est déjà bien établi. Ce livre est destiné à un large public y compris apprenants, étudiants, enseignants et jeunes chercheurs en mathématiques.
Author: Bouchaïb Bahbouhi Publisher: BoD - Books on Demand ISBN: 232250419X Category : Mathematics Languages : fr Pages : 66
Book Description
Ce livre est composé de trois études inédites issues de recherches indépendantes que j'ai réalisées. Elles portent sur la primalité du nombre et la décomposition des entiers naturels en produits de facteurs premiers. Je rapporte pour la première fois une nouvelle propriété des nombres premiers que je nomme forme numérique des nombres premiers (différente de la racine numérique). Je décris aussi une méthode alternative de décomposition des entiers naturels en produits de facteurs premiers basée sur la recherche de facteurs communs entre les deux termes d'une addition qui est égale au nombre à décomposer. L'important c'est d'apporter de la nouveauté et non pas seulement reproduire ce qui est déjà bien établi. Ce livre est destiné à un large public y compris apprenants, étudiants, enseignants et jeunes chercheurs en mathématiques.
Author: Évariste Galois Publisher: European Mathematical Society ISBN: 9783037191040 Category : Galois theory Languages : en Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Author: Philipp Habegger Publisher: ISBN: 9782856298565 Category : Arithmetical algebraic geometry Languages : fr Pages : 0
Book Description
"Following Faltings and Vojta's work proving the Mordell-Lang conjecture for abelian varieties and Raynaud's work proving the Manin-Mumford conjecture, many new diophantine questions appeared, often described as problems of unlikely intersections. The arithmetic of moduli spaces of abelian varieties and, more generally, Shimura varieties has been parallel-developed around the central André-Oort conjecture. These two themes can be placed in a common frame--the Zilber-Pink conjecture. This volume is an introduction to these problems and to the various techniques used: geometry, height theory, reductive groups and Hodge theory, Shimura varieties, and model theory via the notion of o-minimal structure."--Publisher.
Author: Reza Akhtar Publisher: American Mathematical Soc. ISBN: 0821851918 Category : Mathematics Languages : en Pages : 202
Book Description
The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.
Author: V. Babelon Publisher: Springer Science & Business Media ISBN: 1461203155 Category : Mathematics Languages : en Pages : 368
Book Description
This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.
Author: J.S.R. Chisholm Publisher: Springer Science & Business Media ISBN: 9400947283 Category : Mathematics Languages : en Pages : 589
Book Description
William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
Author: Bouchaïb Bahbouhi
Author: Bouchaïb Bahbouhi
Author: Édouard Lucas
Author: Édouard Lucas
Author: E. de Fauque de Jonquières
Author: Christian Clopet
Author: Évariste Galois
Author: Philipp Habegger
Author: Reza Akhtar
Author: V. Babelon
Author: J.S.R. Chisholm