Field arithmetic /
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| Author / Creator: | Fried, Michael D., 1942- |
|---|---|
| Edition: | 2nd ed., rev. and enl. / by Moshe Jarden. |
| Imprint: | Berlin ; New York : Springer, c2005. |
| Description: | 1 online resource (xxii, 780 p.) : ill. |
| Language: | English |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, 0071-1136 ; 3. Folge, v. 11 = A series of modern surveys in mathematics Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 11. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8875400 |
MARC
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| 100 | 1 | |a Fried, Michael D., |d 1942- |0 http://id.loc.gov/authorities/names/n85260816 |1 http://viaf.org/viaf/94027893 | |
| 245 | 1 | 0 | |a Field arithmetic / |c Michael D. Fried, Moshe Jarden. |
| 250 | |a 2nd ed., rev. and enl. / |b by Moshe Jarden. | ||
| 260 | |a Berlin ; |a New York : |b Springer, |c c2005. | ||
| 300 | |a 1 online resource (xxii, 780 p.) : |b ill. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete, |x 0071-1136 ; |v 3. Folge, v. 11 = |a A series of modern surveys in mathematics | |
| 504 | |a Includes bibliographical references (p. [755]-768) and index. | ||
| 520 | |a Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the fi. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 0 | |a Algebraic fields. |0 http://id.loc.gov/authorities/subjects/sh85048127 | |
| 650 | 0 | |a Algebraic number theory. |0 http://id.loc.gov/authorities/subjects/sh85003436 | |
| 650 | 6 | |a Corps algébriques. | |
| 650 | 6 | |a Nombres algébriques, Théorie des. | |
| 650 | 7 | |a Teoria Dos Numeros. |2 larpcal | |
| 650 | 7 | |a Algebra. |2 larpcal | |
| 650 | 6 | |a Corps algébriques. |2 rasuqam | |
| 650 | 7 | |a Théorie des nombres algébriques. |2 rasuqam | |
| 655 | 4 | |a Electronic books. | |
| 650 | 7 | |a Algebraic fields. |2 fast |0 http://id.worldcat.org/fast/fst00804931 | |
| 650 | 7 | |a Algebraic number theory. |2 fast |0 http://id.worldcat.org/fast/fst00804937 | |
| 700 | 1 | |a Jarden, Moshe, |d 1942- |0 http://id.loc.gov/authorities/names/n85260817 |1 http://viaf.org/viaf/34529306 | |
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| 830 | 0 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete ; |v 3. Folge, Bd. 11. | |
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