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Number Theory In The Spirit Of Liouville London Mathematical Society Student Texts Series Number 76 1st Edition Kenneth S Williams

  • SKU: BELL-51992492
Number Theory In The Spirit Of Liouville London Mathematical Society Student Texts Series Number 76 1st Edition Kenneth S Williams
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Number Theory In The Spirit Of Liouville London Mathematical Society Student Texts Series Number 76 1st Edition Kenneth S Williams instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 1.15 MB
Pages: 306
Author: Kenneth S. Williams
ISBN: 9781107002531, 1107002532
Language: English
Year: 2010
Edition: 1

Product desciption

Number Theory In The Spirit Of Liouville London Mathematical Society Student Texts Series Number 76 1st Edition Kenneth S Williams by Kenneth S. Williams 9781107002531, 1107002532 instant download after payment.

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.

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