Number Theory in the Spirit of Liouville by Kenneth S Williams

Number Theory in the Spirit of Liouville by Kenneth S Williams

Joseph Liouville is recognised as one of the great mathematicians of the nineteenth century, and one of his greatest achievements was the introduction of a powerful new method into elementary number theory. This book provides a gentle introduction to this method, explaining it in a clear and straightforward manner. The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence relations for divisor functions, convolution sums involving the divisor functions, and many others. All of the topics discussed have a rich history dating back to Euler, Jacobi, Dirichlet, Ramanujan and others, and they continue to be the subject of current mathematical research. Williams places the results in their historical and contemporary contexts, making the connection between Liouville's ideas and modern theory. This is the only book in English entirely devoted to the subject and is thus an extremely valuable resource for both students and researchers alike.

'This is the only book in English entirely devoted to the subject and is thus an extremely valuable resource for both students and researchers alike' Mathematical Reviews

Kenneth S. Williams is currently Professor Emeritus and Distinguished Research Professor of Mathematics at Carleton University, Ottawa.

SKU	Non disponible
ISBN 13	9780521175623
ISBN 10	0521175623
Titre	Number Theory in the Spirit of Liouville
Auteur	Kenneth S Williams
Série	London Mathematical Society Student Texts
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	2010-10-21
Nombre de pages	306
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible