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(Ebook) Number Theory in the Spirit of Liouville (London Mathematical Society Student Texts, Series Number 76) by Kenneth S. Williams ISBN 9781107002531, 1107002532

  • SKU: EBN-51992492
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Instant download (eBook) Number Theory in the Spirit of Liouville (London Mathematical Society Student Texts, Series Number 76) after payment.
Authors:Kenneth S. Williams
Pages:306 pages.
Year:2010
Editon:1
Publisher:Cambridge University Press
Language:english
File Size:1.15 MB
Format:pdf
ISBNS:9781107002531, 1107002532
Categories: Ebooks

Product desciption

(Ebook) Number Theory in the Spirit of Liouville (London Mathematical Society Student Texts, Series Number 76) by Kenneth S. Williams ISBN 9781107002531, 1107002532

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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