Hilbert's Tenth Problem
Format: Paperback
ISBN13: 9781470443993
Paperback|9781470443993
✨ Featured Offer
Brand New
$87.04
List Price: $55.00
🚚
See all 5 offers from $35.52 FREE standard delivery by: 30 Mar 2026
Overview
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 Godel'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.
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 Godel'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.
| ISBN-13 | 9781470443993 |
|---|---|
| ISBN-10 | 1470443996 |
| List Price | $55.00 |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 242 pages |
| Publisher | American Mathematical Society |
| Published On | 2019-06-30 |
View All Offers
Sort by:
Price
Condition
Seller
Seller Comments
Price
Used, Good
Seller details
Zoom Books East
Glendale Heights, IL, USA
Book is in very good condition and may include minimal underlining highlighting. The book can also i...
Free delivery by: 30 Mar 2026
Used, Good
Seller details
BooksRun
Philadelphia, PA, USA
It's a preowned item in good condition and includes all the pages. It may have some general signs ...
Free delivery by: 30 Mar 2026
Used, Like New
Seller details
GreatBookPrices-
Columbia, MD, USA
100% Money Back Guarantee. Brand New, Perfect Condition. We offer expedited shipping to all US locat...
Free delivery by: 30 Mar 2026
✨ Brand New
Seller details
GreatBookPrices-
Columbia, MD, USA
100% Money Back Guarantee. Brand New, Perfect Condition. We offer expedited shipping to all US locat...
Free delivery by: 30 Mar 2026
Used, Good
Seller details
Bonita
Santa Clarita, CA, USA
Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Free delivery by: 30 Mar 2026