[Texts Book] ✓ Number Theory in the Spirit of Liouville (London Mathematical Society Student Texts) PDF by Kenneth S. Williams ↠ eBook or Kindle ePUB free

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• Title : Number Theory in the Spirit of Liouville (London Mathematical Society Student Texts)
• Author : Kenneth S. Williams
• Rating : 4.96 (151 Vote)
• Publish : 2015-11-10
• Format : Paperback
• Pages : 306 Pages
• Asin : 0521175623
• Language : English

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

" a fascinating exploration and reexamination of both Liouville's identities and "elementary" methods, providing revealing connections to modern techniques and proofs. Johnson, Choice Magazine . Overall, the work contributes significantly to both number theory and the history of mathematics." J

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.. 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. 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. 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. This book provides a gentle introduction to this method, explaining it in a clear and straightforward manner. Williams places the results in their historical and contemporary contexts, making the connection between Liouville's ideas and modern theory