Elliptic Curves: Function Theory, Geometry, Arithmetic - Couverture rigide

McKean, Henry; Moll, Victor

 
9780521582285: Elliptic Curves: Function Theory, Geometry, Arithmetic
Couverture rigide
ISBN 10 : 0521582288 ISBN 13 : 9780521582285
Editeur : Cambridge University Press, 1997

Synopsis

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.

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

Présentation de l'éditeur

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.

Revue de presse

'The book is a welcome extension of the existing literature about this important topic ... It is recommended to students of mathematics and physics interested in the applications of the theory and the theory itself.' European Mathematical Society

'With an easy mind the reviewer can recommend this book to those who want to become acquainted with the subject and to those who look for a book which can serve as guide for a course on the subject ... the exemplary way in which Elliptic Curves is written, made reviewing a pleasure.' Niew Archief voor Wiskunde

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

Éditeur
Cambridge University Press
Date d'édition
1997
Langue
anglais
ISBN 10 
0521582288
ISBN 13 
9780521582285
Reliure
Relié
Nombre de pages
298
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521658171: Elliptic Curves: Function Theory, Geometry, Arithmetic

Edition présentée

ISBN 10 :  0521658179 ISBN 13 :  9780521658171
Editeur : Cambridge University Press, 1999
Couverture souple