Description

Book Synopsis
The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $.

Table of Contents
  • Introduction
  • Weak inference and weak existence
  • Intermediate value theorem
  • Fundamental theorem of algebra
  • Hermite's theory
  • Elimination of one variable
  • Proof of the main theorems
  • Bibliography/References.

An Elementary Recursive Bound for Effective

    Product form

    A Paperback by Henri Lombardi, Daniel Perrucci, Marie-Francoise Roy

    £67.50

    Includes FREE delivery

    RRP £75.00 – you save £7.50 (10%)

    Order before 4pm today for delivery by Wed 4 Nov 2026.

    Out of stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of An Elementary Recursive Bound for Effective by Henri Lombardi

      Book details

      Publisher American Mathematical Society
      Published 4/30/2020 12:00:00 AM
      ISBN-13 9781470441081
      978-1470441081
      ISBN-10 147044108X

      Description

      Book Synopsis
      The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $.

      Table of Contents
      • Introduction
      • Weak inference and weak existence
      • Intermediate value theorem
      • Fundamental theorem of algebra
      • Hermite's theory
      • Elimination of one variable
      • Proof of the main theorems
      • Bibliography/References.

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account