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	Unavailable
ISBN 13	9780521175623
ISBN 10	0521175623
Title	Number Theory in the Spirit of Liouville
Author	Kenneth S Williams
Series	London Mathematical Society Student Texts
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	2010-10-21
Number of pages	306
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable