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| 001 | vtls000556348 | ||
| 003 | RU-ToGU | ||
| 005 | 20210922011243.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170212s2015 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387541099 _9978-0-387-54109-9 |
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| 024 | 7 |
_a10.1007/978-0-387-54109-9 _2doi |
|
| 035 | _ato000556348 | ||
| 040 |
_aSpringer _cSpringer _dRU-ToGU |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
|
| 072 | 7 |
_aMAT022000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aAndreescu, Titu. _eauthor. _9262881 |
|
| 245 | 1 | 0 |
_aQuadratic Diophantine Equations _helectronic resource _cby Titu Andreescu, Dorin Andrica. |
| 260 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2015. |
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| 300 |
_aXVIII, 211 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aDevelopments in Mathematics, _x1389-2177 ; _v40 |
|
| 505 | 0 | _aWhy Quadratic Diophantine Equations? -- Continued Fractions, Diophantine Approximation and Quadratic Rings -- Pell's Equation -- General Pell's Equation -- Equations Reducible to Pell's Type Equations -- Diophantine Representations of Some Sequences -- Other Applications. | |
| 520 | _aThis monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis. | ||
| 650 | 0 |
_amathematics. _9281362 |
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| 650 | 0 |
_aAlgebra. _9281363 |
|
| 650 | 0 |
_aNumber theory. _9281364 |
|
| 650 | 1 | 4 |
_aMathematics. _9281365 |
| 650 | 2 | 4 |
_aNumber Theory. _9281366 |
| 650 | 2 | 4 |
_aAlgebra. _9281363 |
| 700 | 1 |
_aAndrica, Dorin. _eauthor. _9281367 |
|
| 710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
| 773 | 0 | _tSpringer eBooks | |
| 830 | 0 |
_aDevelopments in Mathematics, _9281368 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-54109-9 |
| 912 | _aZDB-2-SMA | ||
| 999 | _c202576 | ||