Description

Book Synopsis
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900. It asked for a general algorithm to determine if a given Diophantine equation has a solution in integers. It was finally resolved by Julia Robinson, Martin Davis, Hilary Putnam, and finally Yuri Matiyasevich in 1970. This book is an exposition of their achievement.

Table of Contents
  • Introduction
  • Cantor and infinity
  • Axiomatic set theory
  • Elementary number theory
  • Computability and provability
  • Hilbert's tenth problem
  • Applications of Hilbert's tenth problem
  • Hilbert's tenth problem over number fields
  • Background material
  • Bibliography
  • Index

    Hilberts Tenth Problem

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    Order before 4pm tomorrow for delivery by Wed 21 Jan 2026.

    A Paperback by M. Ram Murty, Brandon Fodden

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      View other formats and editions of Hilberts Tenth Problem by M. Ram Murty

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2019 12:00:00 AM
      ISBN13: 9781470443993, 978-1470443993
      ISBN10: 1470443996

      Description

      Book Synopsis
      Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900. It asked for a general algorithm to determine if a given Diophantine equation has a solution in integers. It was finally resolved by Julia Robinson, Martin Davis, Hilary Putnam, and finally Yuri Matiyasevich in 1970. This book is an exposition of their achievement.

      Table of Contents
      • Introduction
      • Cantor and infinity
      • Axiomatic set theory
      • Elementary number theory
      • Computability and provability
      • Hilbert's tenth problem
      • Applications of Hilbert's tenth problem
      • Hilbert's tenth problem over number fields
      • Background material
      • Bibliography
      • Index

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