Computability and Unsolvability by Martin Davis (English) Paperback Book

Description: Computability and Unsolvability by Martin Davis Estimated delivery 3-12 business days Format Paperback Condition Brand New Description Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more. Publisher Description In this classic text, Dr. Davis provides a clear introduction to computability, at an advanced undergraduate level, that serves the needs of specialists and non-specialists alike.In Part One (Chapters 1-5), Professor Davis outlines the general theory of computability, discussing such topics as computable functions, operations on computable functions, recursive functions, Turing machines, self-applied, and unsolvable decision problems. The author has been careful, especially in the first seven chapters, to assume no special mathematical training on the part of the reader.Part Two (Chapters 6-8) comprises a concise treatment of applications of the general theory, incorporating material on combinatorial problems, Diophantine Equations (including Hilberts Tenth Problem) and mathematical logic. The final three chapters (Part 3) present further development of the general theory, encompassing the Kleene hierarchy, computable functionals, and the classification of unsolvable decision problems.When first published in 1958, this work introduced much terminology that has since become standard in theoretical computer science. Indeed, the stature of the book is such that many computer scientists regard it as their theoretical introduction to the topic. This new Dover edition makes this pioneering, widely admired text available in an inexpensive format.For Dovers edition, Dr. Davis has provided a new Preface and an Appendix, ""Hilberts Tenth Problem Is Unsolvable,"" an important article he published in The American Mathematical Monthly in 1973, which was awarded prizes by the American Mathematical Society and the Mathematical Association of America. These additions further enhance the value and usefulness of an ""unusually clear and stimulating exposition"" (Centre National de la Recherche Scientifique, Paris) now available for the first time in paperback. Author Biography Martin Davis: Computer Science Pioneer Dovers publishing relationship with Martin Davis, now retired from NYU and living in Berkeley, goes back to 1985 when we reprinted his classic 1958 book Computability and Unsolvability, widely regarded as a classic of theoretical computer science. A graduate of New Yorks City College, Davis received his PhD from Princeton in the late 1940s and became one of the first computer programmers in the early 1950s, working on the ORDVAC computer at The University of Illinois. He later settled at NYU where he helped found the Computer Science Department. Not many books from the infancy of computer science are still alive after several decades, but Computability and Unsolvability is the exception. And The Undecidable is an anthology of fundamental papers on undecidability and unsolvability by major figures in the field including Godel, Church, Turing, Kleene, and Post. Critical Acclaim for Computability and Unsolvability: "This book gives an expository account of the theory of recursive functions and some of its applications to logic and mathematics. It is well written and can be recommended to anyone interested in this field. No specific knowledge of other parts of mathematics is presupposed. Though there are no exercises, the book is suitable for use as a textbook." - J. C. E. Dekker, Bulletin of the American Mathematical Society, 1959 Critical Acclaim for The Undecidable: "A valuable collection both for original source material as well as historical formulations of current problems." - The Review of Metaphysics "Much more than a mere collection of papers ... a valuable addition to the literature." - Mathematics of Computation Details ISBN 0486614719 ISBN-13 9780486614717 Title Computability and Unsolvability Author Martin Davis Format Paperback Year 2003 Pages 288 Publisher Dover Publications Inc. GE_Item_ID:7624875; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. 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