Classical Recursion Theory, 125 - (Studies in Logic and the Foundations of Mathematics) by P Odifreddi (Paperback)
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<p/><br></br><p><b> Book Synopsis </b></p></br></br>1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles.<p>Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation. <p/><p/><br></br><p><b> Review Quotes </b></p></br></br><br>G.E. Sacks, Harvard University and M.I.T.<br>Odifreddi has written a delightful yet scholarly treatise... <p/>C. Calude<br>An impressive presentation of classical recursion theory... highly recommended to everyone interested in recursion theory.<br>Zentralblatt für Mathematik<br>A must as a reference manual for any mathematician, philosopher or theoretical computer scientist who deals with issues of computability.<br>Mathematical Reviews<br>An incredible wealth of information, including much that occurs for the first time in book form.<br>Journal of Symbolic Logic<br><br>
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