Mersenne Numbers and Fermat Numbers - Couverture rigide

Deza, Elena

Couverture rigide

ISBN 10 : 9811230315 ISBN 13 : 9789811230318

Editeur : WSPC, 2021

Synopsis

This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography. In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n – 1 for positive integer n. In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer. Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.

A propos du livre

À propos de l'auteur

 

Elena (Ivanovna) Deza is a Full Professor at Moscow Pedagogical State University since 2006.

She wrote about 50 research papers (mainly on Number Theory and Discrete Mathematics), several mathematical textbooks and books on teaching of Mathematics in Russian, and several books/monographs in English, including: Deza E, Deza M M (2006) Dictionary of Distances, Elsevier; Deza E, Deza M M (2009, 2013, 2015, 2016) Encyclopedia of Distances, Springer Verlag; Deza E, Deza M M (2012) Figurate Numbers, World Scientific Publishing Company; Deza E, Deza M M, Dutour Siciric M (2016) Generalizations of Finite Metrics and Cuts, World Scientific Publishing Company.

One of her special courses at Moscow State Pedagogical and Moscow Independent Universities is ""Topics in Special Numbers"". Her mathematical teaching publications are mainly in the following leading Russian journals: Mathematics in School (about 20 papers, incl. 4 surveys on special numbers), Kvant (10 papers) and Vestnik of University of Russian Academy of Education. Also, she published 9 mathematical textbooks in Russian.

Research track records of Elena Deza are: Analytic Number Theory (Dirichlet Divisor problem, Dirichlet series, Theory of the Riemann zeta function, mean values of arithmetical functions); Discrete Mathematics (Combinatorics, Graph Theory, Special Integer Numbers); Theory of Discrete Metric Spaces (Oriented Metrics, m-metrics, Partial Metrics); Problems of Mathematical Education (Higher Pedagogical Education, Multilevel System of Pedagogical Education, Training of School Students).

 

 

Détails de l'édition

• Éditeur: WSPC
• Date d'édition: 2021
• Langue: anglais
• ISBN 10: 9811230315
• ISBN 13: 9789811230318
• Reliure: Relié
• Nombre de pages: 328
• Coordonnées du fabricant: non disponible
• Personne responsable: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Allemagne