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 G�del'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.

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 G�del's Incompleteness Theorem.

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

Store Description

We are dedicated to providing customers with easy, flawless transactions and excellent books! We provide 100% customer satisfaction and are always here to answer any questions or concerns for our customers.

Visit Seller's Storefront

Seller's business information

Farm For Books Inc
1734 Bellaire Street, Denver, CO, 80220, U.S.A.

Sale & Shipping Terms

Terms of Sale

Shipping Terms

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 14 business days	3 to 8 business days
First item	US$ 5.50	US$ 12.75

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.