| 000 | 02271nam a22003498a 4500 | ||
|---|---|---|---|
| 001 | CR9780511751684 | ||
| 003 | UkCbUP | ||
| 005 | 20180107143412.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100420s2010||||enk s ||1 0|eng|d | ||
| 020 | _a9780511751684 (ebook) | ||
| 020 | _z9781107002531 (hardback) | ||
| 020 | _z9780521175623 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
||
| 050 | 0 | 0 |
_aQA241 _b.W625 2010 |
| 082 | 0 | 0 |
_a512.7/2 _222 |
| 100 | 1 |
_aWilliams, Kenneth S., _eauthor. |
|
| 245 | 1 | 0 |
_aNumber Theory in the Spirit of Liouville / [electronic resource] _cKenneth S. Williams. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (306 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 0 |
_aLondon Mathematical Society Student Texts ; _vno. 76 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 09 Oct 2015). | ||
| 520 | _aJoseph 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. | ||
| 650 | 0 | _aNumber theory | |
| 776 | 0 | 8 |
_iPrint version: _z9781107002531 |
| 830 | 0 |
_aLondon Mathematical Society Student Texts ; _vno. 76. |
|
| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1017/CBO9780511751684 _zCambridge Books Online |
| 999 |
_c236501 _d236501 |
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