Computability: An Introduction to Recursive Function Theory

4 avg rating
( 18 ratings by Goodreads )
 
9780521223843: Computability: An Introduction to Recursive Function Theory
View all copies of this ISBN edition:
 
 

What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr Cutland begins with a mathematical characterisation of computable functions using a simple idealised computer (a register machine); after some comparison with other characterisations, he develops the mathematical theory, including a full discussion of non-computability and undecidability, and the theory of recursive and recursively enumerable sets. The later chapters provide an introduction to more advanced topics such as Gildel's incompleteness theorem, degrees of unsolvability, the Recursion theorems and the theory of complexity of computation. Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers. Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and interest.

"synopsis" may belong to another edition of this title.

Book Description:

This introduction to recursive theory computability begins with a mathematical characterization of computable functions, develops the mathematical theory and includes a full discussion of noncomputability and undecidability. Later chapters move on to more advanced topics such as degrees of unsolvability and Gödel's Incompleteness Theorem.

Review:

"Dr. Cutland has produced here an excellent and much needed textbook which will undoubtedly help to establish recursion theory as a more widely taught branch of mainstream mathematics." Mathematics & Physics

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 75.00
US$ 167.76

Convert Currency

Shipping: US$ 1.99
Within U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Cutland, Nigel
Published by Cambridge University Press (1980)
ISBN 10: 0521223849 ISBN 13: 9780521223843
New Hardcover Quantity Available: 1
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Cambridge University Press, 1980. Hardcover. Condition: New. Never used!. Seller Inventory # P110521223849

More Information About This Seller | Contact this Seller

Buy New
US$ 167.76
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

2.

Nigel Cutland
Published by Cambridge University Press (1980)
ISBN 10: 0521223849 ISBN 13: 9780521223843
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Cambridge University Press, 1980. Hardcover. Condition: New. book. Seller Inventory # M0521223849

More Information About This Seller | Contact this Seller

Buy New
US$ 562.32
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds