eBook - PDF

Hilbert's Tenth Problem

Name: Hilbert's Tenth Problem
ISBN: 9781470452612

An Introduction to Logic, Number Theory, and Computability

M. Ram Murty,

Brandon Fodden,

English
PDF
Available on iOS & Android

eBook - PDF

Hilbert's Tenth Problem

An Introduction to Logic, Number Theory, and Computability

M. Ram Murty,

Brandon Fodden,

About this book

Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International Congress of Mathematicians in Paris. These problems gave focus for the exponential development of mathematical thought over the following century. The tenth problem asked for a general algorithm to determine if a given Diophantine equation has a solution in integers. It was finally resolved in a series of papers written by Julia Robinson, Martin Davis, Hilary Putnam, and finally Yuri Matiyasevich in 1970. They showed that no such algorithm exists.This book is an exposition of this remarkable achievement. Often, the solution to a famous problem involves formidable background. Surprisingly, the solution of Hilbert's tenth problem does not. What is needed is only some elementary number theory and rudimentary logic. In this book, the authors present the complete proof along with the romantic history that goes with it. Along the way, the reader is introduced to Cantor's transfinite numbers, axiomatic set theory, Turing machines, and Gödel's incompleteness theorems.Copious exercises are included at the end of each chapter to guide the student gently on this ascent. For the advanced student, the final chapter highlights recent developments and suggests future directions. The book is suitable for undergraduates and graduate students. It is essentially self-contained.

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Yes, you can access Hilbert's Tenth Problem by M. Ram Murty,Brandon Fodden in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.