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Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
 
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
Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
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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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 151978; 92 pp
    MSC: Primary 03; Secondary 12
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 151978; 92 pp
MSC: Primary 03; Secondary 12
  • 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
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.