| 000 | 03106nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4549-6 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084457.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100907s2010 xxu| s |||| 0|eng d | ||
| 020 |
_a9780817645496 _9978-0-8176-4549-6 |
||
| 024 | 7 |
_a10.1007/978-0-8176-4549-6 _2doi |
|
| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
|
| 072 | 7 |
_aMAT022000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aAndreescu, Titu. _eauthor. |
|
| 245 | 1 | 3 |
_aAn Introduction to Diophantine Equations _h[electronic resource] : _bA Problem-Based Approach / _cby Titu Andreescu, Dorin Andrica, Ion Cucurezeanu. |
| 264 | 1 |
_aBoston : _bBirkhäuser Boston, _c2010. |
|
| 300 |
_aXI, 345p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 505 | 0 | _aDiophantine Equations -- Elementary Methods for Solving Diophantine Equations -- Some Classical Diophantine Equations -- Pell-Type Equations -- Some Advanced Methods for Solving Diophantine Equations -- Solutions to Exercises and Problems -- Solutions to Elementary Methods for Solving Diophantine Equations -- Solutions to Some Classical Diophantine Equations -- Solutions to Pell-Type Equations -- Solutions to Some Advanced Methods in Solving Diophantine Equations. | |
| 520 | _aThis problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aNumber Theory. |
| 650 | 2 | 4 | _aAlgebra. |
| 700 | 1 |
_aAndrica, Dorin. _eauthor. |
|
| 700 | 1 |
_aCucurezeanu, Ion. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780817645489 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-8176-4549-6 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c109894 _d109894 |
||