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Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
eBook ISBN: | 978-1-4704-0302-7 |
Product Code: | MEMO/15/204.E |
List Price: | $24.00 |
MAA Member Price: | $21.60 |
AMS Member Price: | $14.40 |
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Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
eBook ISBN: | 978-1-4704-0302-7 |
Product Code: | MEMO/15/204.E |
List Price: | $24.00 |
MAA Member Price: | $21.60 |
AMS Member Price: | $14.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 15; 1978; 92 ppMSC: Primary 03; Secondary 12
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Table of Contents
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Chapters
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I. Introduction
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II. Prerequisites in logic
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III. Methods for limitation of quantifiers
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IV. Additive rational numbers
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V. Additive integers
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VI. Projection of a set of polynomials
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VII. Real numbers
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VIII. Valued fields
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IX. Algebraically closed fields
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X. Convergent power series over complete algebraically closed valued fields
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XI. Hensel’s lemma
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XII. Convergence of series solutions of polynomials
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XIII. Complete discretely valued fields with residue class field $Z_p$ and $p$ large
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XIV. Applications to the Ax-Kochen transfer principle and the Artin conjecture
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
I. Introduction
-
II. Prerequisites in logic
-
III. Methods for limitation of quantifiers
-
IV. Additive rational numbers
-
V. Additive integers
-
VI. Projection of a set of polynomials
-
VII. Real numbers
-
VIII. Valued fields
-
IX. Algebraically closed fields
-
X. Convergent power series over complete algebraically closed valued fields
-
XI. Hensel’s lemma
-
XII. Convergence of series solutions of polynomials
-
XIII. Complete discretely valued fields with residue class field $Z_p$ and $p$ large
-
XIV. Applications to the Ax-Kochen transfer principle and the Artin conjecture
Review Copy – for publishers of book reviews
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