Read Computability: An Introduction to Recursive Function Theory

Computability: An Introduction to Recursive Function Theory

Nigel Cutland

4.9/5 (22901 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Computability: An Introduction to Recursive Function Theory. To get started finding Computability: An Introduction to Recursive Function Theory, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 0521294657

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Computability: An Introduction to Recursive Function Theory. To get started finding Computability: An Introduction to Recursive Function Theory, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Computability: An Introduction to Recursive Function Theory

Computability: An Introduction to Recursive Function Theory

More Books

Derivative Pricing in Discrete Time (Springer Undergraduate Mathematics Series)

Derivative Pricing in Discrete Time (Springer Undergraduate Mathematics Series)

Nonstandard Analysis and its Applications (London Mathematical Society Student Texts)

Nonstandard Analysis and its Applications (London Mathematical Society Student Texts)

Developments in Nonstandard Mathematics (Chapman & Hall/CRC Research Notes in Mathematics Series)

Developments in Nonstandard Mathematics (Chapman & Hall/CRC Research Notes in Mathematics Series)

Loeb Measures in Practice: Recent Advances: EMS Lectures 1997 (Lecture Notes in Mathematics) 2000 edition by Cutland, Nigel J. (2000) Paperback

Loeb Measures in Practice: Recent Advances: EMS Lectures 1997 (Lecture Notes in Mathematics) 2000 edition by Cutland, Nigel J. (2000) Paperback

Nonstandard Analysis and its Applications by Nigel Cutland (September 30,1988)

Nonstandard Analysis and its Applications by Nigel Cutland (September 30,1988)

[(Derivative Pricing in Discrete Time )] [Author: Nigel J. Cutland] [Sep-2012]

[(Derivative Pricing in Discrete Time )] [Author: Nigel J. Cutland] [Sep-2012]

Loeb Measures in Practice: Recent Advances: EMS Lectures 1997: 1751 (Lecture Notes in Mathematics) by Nigel J. Cutland (2008-06-13)

Loeb Measures in Practice: Recent Advances: EMS Lectures 1997: 1751 (Lecture Notes in Mathematics) by Nigel J. Cutland (2008-06-13)

Nonstandard Analysis and its Applications (London Mathematical Society Student Texts) 1st edition by Cutland, Nigel (1988) Paperback

Nonstandard Analysis and its Applications (London Mathematical Society Student Texts) 1st edition by Cutland, Nigel (1988) Paperback

Computability: An Introduction to Recursive Function Theory by Nigel Cutland (1980-06-19)

Computability: An Introduction to Recursive Function Theory by Nigel Cutland (1980-06-19)