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Hilbert's Tenth Problem - Logic and Number Theory Book

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Description

Explore the history and resolution of one of the most significant mathematical challenges of the twentieth century. Hilbert's Tenth Problem, part of the 23 problems proposed by David Hilbert in 1900, focuses on finding a general algorithm to determine if a given Diophantine equation has a solution in integers. This book provides an exposition of the remarkable journey toward the discovery that no such algorithm exists. Following the work of Julia Robinson, Martin Davis, Hilary Putnam, and Yuri Matiyasevich, who resolved the problem in 1970, this text serves as an introduction to logic, number theory, and computability. It is a valuable resource for those studying the mathematical foundations that shaped modern thought.

Key Features

This book provides an exposition of Hilbert's tenth problem and its resolution.

Learn about the mathematical development following David Hilbert's 1900 proposal.

Study the work of Julia Robinson, Martin Davis, Hilary Putnam, and Yuri Matiyasevich.

Explore fundamental concepts in logic, number theory, and computability.

Published by the American Mathematical Society as part of the Student Mathematical Library.

Product Specifications

Colour
White
Format
paperback
Domain
Amazon UK
Release Date
30 December 2019
Listed Since
23 March 2019

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