Articles liés à Famous Functions in Number Theory

Famous Functions in Number Theory - Couverture souple

Kerins, Bowen; Yong, Darryl; Cuoco, Al; Stevens, Glenn

 
9781470421953: Famous Functions in Number Theory
Couverture souple
ISBN 10 : 147042195X ISBN 13 : 9781470421953
Editeur : American Mathematical Society, 2015

Synopsis

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a ``course'' in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series IAS/PCMI-The Teacher Program Series published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.

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

À propos de l'auteur

Bowen Kerins, Education Development Center Inc., Waltham, MA, USA.

Darryl Yong, Harvey Mudd College, Claremont, CA, USA.

Al Cuoco, Education Development Center Inc., Waltham, MA, USA.

Glenn Stevens, Cambridge, MA, USA.

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
2015
Langue
anglais
ISBN 10 
147042195X
ISBN 13 
9781470421953
Reliure
Broché
Nombre de pages
224
Coordonnées du fabricant
non disponible
Personne responsable
non disponible