| 000 | 02462nam a22004098a 4500 | ||
|---|---|---|---|
| 001 | CR9781139084666 | ||
| 003 | UkCbUP | ||
| 005 | 20160624102302.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110506s2012||||enk s ||1 0|eng|d | ||
| 020 | _a9781139084666 (ebook) | ||
| 020 | _z9781107674141 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
||
| 050 | 0 | 0 |
_aQA241 _b.R25 2012 |
| 082 | 0 | 0 |
_an/a _2n/a |
| 100 | 1 |
_aRalph, Claire C., _eauthor. |
|
| 245 | 1 | 0 |
_aArithmetic Differential Operators over the p-adic Integers / _cClaire C. Ralph, Santiago R. Simanca. |
| 260 | 1 |
_aCambridge : _bCambridge University Press, _c2012. |
|
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2012. |
|
| 300 |
_a1 online resource (146 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 396 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). | ||
| 520 | _aThe study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers. | ||
| 650 | 0 | _aDifferential operators | |
| 650 | 0 | _aArithmetic functions | |
| 650 | 0 | _ap-adic numbers | |
| 700 | 1 |
_aSimanca, Santiago R., _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107674141 |
| 786 | _dCambridge | ||
| 830 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 396. |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9781139084666 |
| 942 |
_2EBK12266 _cEBK |
||
| 999 |
_c41560 _d41560 |
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