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Lowest price: € 49.50, highest price: € 171.15, average price: € 142.55
Field Arithmetic - Michael D. Fried
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Michael D. Fried:
Field Arithmetic - new book

2001, ISBN: 9783540772699

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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 first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture), DE, [SC: 0.00], Neuware, gewerbliches Angebot, 241x166x48 mm, 792, [GW: 1389g], PayPal, offene Rechnung, Banküberweisung, Internationaler Versand

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Field Arithmetic - Michael D. Fried; Moshe Jarden
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Michael D. Fried; Moshe Jarden:
Field Arithmetic - new book

ISBN: 9783540772699

ID: 9783540772699

Mathematics; Algebra; Mathematics, general; Algebraic Geometry; Field Theory and Polynomials; Geometry; Mathematical Logic and Foundations Absolute Galois Groups, Algebra, Arithmetic, Counting, Finite Fields, Galois Stratification, Hilbertian Fields, Morphism, PAC Fields, Profinite Groups, Variable, geometry, number theory, theorem Books, Springer Nature

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Field Arithmetic explores Diophantine fields through their absolute Galois groups. The treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field i Shipping costs:zzgl. Versandkosten., plus shipping costs
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Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics, Band 11) [Hardcover] [May 06, 2008] Fried, Michael D. and Jarden, Moshe - Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics, Band 11) [Hardcover] [May 06, 2008] Fried, Michael D. and Jarden, Moshe
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Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics, Band 11) [Hardcover] [May 06, 2008] Fried, Michael D. and Jarden, Moshe:
Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics, Band 11) [Hardcover] [May 06, 2008] Fried, Michael D. and Jarden, Moshe - hardcover

2008, ISBN: 9783540772699

[Hardcover] [May 06, 2008] Minimal traces of storage, like new. Einband minimale Gebrauchsspuren, ansonsten neuwertiger Zustand. Rabattanfragen willkommen, DE, gebraucht wie neu, gewerbliches Angebot, Banküberweisung, Internationaler Versand, [PU: Springer, Berlin/Heidelberg]

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Gebr. - Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
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Gebr. - Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) - new book

2008, ISBN: 9783540772699

ID: bcd45fe55e649549adf9e4ccb3f9525a

Letzte Aktualisierung am: 13.10.18 08:58:28 Binding: Gebundene Ausgabe, Edition: 3rd ed. 2008, Label: Springer, Publisher: Springer, medium: Gebundene Ausgabe, numberOfPages: 792, publicationDate: 2008-05-06, authors: Fried, Michael D., Moshe Jarden, languages: english, ISBN: 3540772693 Bücher, Fried, Michael D. -

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Gebr. - Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
book is out-of-stock
(*)
Gebr. - Field Arithmetic (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) - new book

2008, ISBN: 9783540772699

ID: bcd45fe55e649549adf9e4ccb3f9525a

Letzte Aktualisierung am: 06.09.18 09:30:48 Binding: Gebundene Ausgabe, Edition: 3rd ed. 2008, Label: Springer, Publisher: Springer, medium: Gebundene Ausgabe, numberOfPages: 792, publicationDate: 2008-05-06, authors: Fried, Michael D., Moshe Jarden, languages: english, ISBN: 3540772693 Bücher, Fried, Michael D. -

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Details of the book
Field Arithmetic

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 first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005.

Details of the book - Field Arithmetic


EAN (ISBN-13): 9783540772699
ISBN (ISBN-10): 3540772693
Hardcover
Publishing year: 2008
Publisher: Springer-Verlag GmbH
792 Pages
Weight: 1,368 kg
Language: eng/Englisch

Book in our database since 06.01.2008 12:29:43
Book found last time on 15.10.2018 15:44:14
ISBN/EAN: 9783540772699

ISBN - alternate spelling:
3-540-77269-3, 978-3-540-77269-9


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