| 000 | 02636nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-39093-0 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101812.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1984 gw | s |||| 0|eng d | ||
| 020 |
_a9783540390930 _9978-3-540-39093-0 |
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| 024 | 7 |
_a10.1007/BFb0101548 _2doi |
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| 050 | 4 | _aQA150-272 | |
| 072 | 7 |
_aPBF _2bicssc |
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| 072 | 7 |
_aMAT002000 _2bisacsh |
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| 082 | 0 | 4 |
_a512 _223 |
| 100 | 1 |
_aPrestel, Alexander. _eauthor. |
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| 245 | 1 | 0 |
_aLectures on Formally Real Fields _h[electronic resource] / _cby Alexander Prestel. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1984. |
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| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1984. |
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| 300 |
_aXI, 128 p. _bonline resource. |
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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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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1093 |
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| 505 | 0 | _aOrderings and semiorderings of fields -- Quadratic forms over formally real fields -- Real algebraic closures -- Some notions from model theory -- The transfer-principle for real closed fields -- The space of orderings and semiorderings -- Real places -- Real henselian fields -- SAP-fields -- Quadratic forms over formally real fields. | |
| 520 | _aAbsolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aLogic, Symbolic and mathematical. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebra. |
| 650 | 2 | 4 | _aMathematical Logic and Foundations. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540138853 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1093 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0101548 |
| 942 |
_2EBK980 _cEBK |
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| 999 |
_c30274 _d30274 |
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