| 000 | 02513nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4419-1732-4 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084507.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100806s2010 xxu| s |||| 0|eng d | ||
| 020 |
_a9781441917324 _9978-1-4419-1732-4 |
||
| 024 | 7 |
_a10.1007/978-1-4419-1732-4 _2doi |
|
| 050 | 4 | _aQA150-272 | |
| 072 | 7 |
_aPBF _2bicssc |
|
| 072 | 7 |
_aMAT002000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512 _223 |
| 100 | 1 |
_aShimura, Goro. _eauthor. |
|
| 245 | 1 | 0 |
_aArithmetic of Quadratic Forms _h[electronic resource] / _cby Goro Shimura. |
| 250 | _a1st. | ||
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2010. |
|
| 300 |
_aXII, 240p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
|
| 505 | 0 | _aThe Quadratic Reciprocity Law -- Arithmetic in an Algebraic Number Field -- Various Basic Theorems -- Algebras Over a Field -- Quadratic Forms -- Deeper Arithmetic of Quadratic Forms -- Quadratic Diophantine Equations. | |
| 520 | _aThis book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebra. |
| 650 | 2 | 4 | _aNumber Theory. |
| 650 | 2 | 4 | _aGeneral Algebraic Systems. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781441917317 |
| 830 | 0 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4419-1732-4 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c110458 _d110458 |
||