Finite Fields, With Applications to Combinatorics - Couverture souple

Soundararajan, Kannan

 
9781470469306: Finite Fields, With Applications to Combinatorics
Couverture souple
ISBN 10 : 1470469308 ISBN 13 : 9781470469306
Editeur : American Mathematical Society, 2023

Synopsis

This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Kannan Soundararajan, Stanford University, CA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2023
Langue
anglais
ISBN 10 
1470469308
ISBN 13 
9781470469306
Reliure
Broché
Nombre de pages
170
Coordonnées du fabricant
non disponible
Personne responsable
non disponible