Computability and Unsolvability

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.<br>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.<br>Part Two (Chapters 6-8) comprises a concise treatment of applications of the general theory incorporating material on combinatorial problems Diophantine Equations (including Hilbert's 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.<br>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.<br>For Dover's edition Dr. Davis has provided a new Preface and an Appendix Hilbert's Tenth Problem Is Unsolvable an important article he published in <i>The American Mathematical Monthly</i> 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.