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Field Arithmetic

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Cover of 'Field Arithmetic'

Table of Contents

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    Book Overview
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    Chapter 1 Infinite Galois Theory and Profinite Groups
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    Chapter 2 Valuations and Linear Disjointness
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    Chapter 3 Algebraic Function Fields of One Variable
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    Chapter 4 The Riemann Hypothesis for Function Fields
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    Chapter 5 Plane Curves
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    Chapter 6 The Chebotarev Density Theorem
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    Chapter 7 Ultraproducts
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    Chapter 8 Decision Procedures
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    Chapter 9 Algebraically Closed Fields
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    Chapter 10 Elements of Algebraic Geometry
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    Chapter 11 Pseudo Algebraically Closed Fields
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    Chapter 12 Hilbertian Fields
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    Chapter 13 The Classical Hilbertian Fields
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    Chapter 14 Nonstandard Structures
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    Chapter 15 Nonstandard Approach to Hilbert’s Irreducibility Theorem
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    Chapter 16 Galois Groups over Hilbertian Fields
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    Chapter 17 Free Profinite Groups
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    Chapter 18 The Haar Measure
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    Chapter 19 Effective Field Theory and Algebraic Geometry
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    Chapter 20 The Elementary Theory of e -Free PAC Fields
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    Chapter 21 Problems of Arithmetical Geometry
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    Chapter 22 Projective Groups and Frattini Covers
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    Chapter 23 PAC Fields and Projective Absolute Galois Groups
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    Chapter 24 Frobenius Fields
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    Chapter 25 Free Profinite Groups of Infinite Rank
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    Chapter 26 Random Elements in Profinite Groups
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    Chapter 27 Omega-free PAC Fields
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    Chapter 28 Undecidability
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    Chapter 29 Algebraically Closed Fields with Distinguished Automorphisms
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    Chapter 30 Galois Stratification
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    Chapter 31 Galois Stratification over Finite Fields
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    Chapter 32 Problems of Field Arithmetic
Overall attention for this book and its chapters
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Mentioned by

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1 Wikipedia page

Citations

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Readers on

mendeley
38 Mendeley
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Title
Field Arithmetic
Published by
Springer Berlin Heidelberg, January 2005
DOI 10.1007/b138352
ISBNs
978-3-54-022811-0, 978-3-54-026949-6
Authors

Fried, Michael D., Jarden, Moshe

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 38 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 38 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 5%
Professor 1 3%
Researcher 1 3%
Unknown 34 89%
Readers by discipline Count As %
Mathematics 3 8%
Engineering 1 3%
Unknown 34 89%