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 noncomputability 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.
About Nigel J. Cutland
Regrettably, presently we simply cannot give you information regarding your Writer Nigel J. Cutland. However does not mean we fail to work on her variety. In addition we question that you assist us to within this issue. If you have leisure time and need will certainly exceptionally get pleasure from when you tell us your details. When acquiring this kind of suggestions and data coming from customers regarding the Computability Author Nigel J. Cutland, many of us initial her verify. As soon as most of us make certain that many true, only publish that. We all understand why enable along with thank you beforehand.Details Book
Author  :  Nigel J. Cutland 
Publisher  :  Cambridge University Press 
Data Published  :  19 June 1980 
ISBN  :  0521223849 
EAN  :  9780521223843 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  264 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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