This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
This book was compiled for those who find enjoyment, entertainment and relief from worry in solving mechanical and manipulative puzzles and for the recreational leader who uses puzzles as a leisure time activity. A few can be purchased—but by including such information the title of the book would be misleading; and furthermore it's more fun to make than buy them.
This book is a facsimile reprint and may contain imperfections such as marks, notations, marginalia and flawed pages.
Set Theory and the Continuum Problem (Dover Books on Mathematics)
A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results. 1996 edition.
Visitors from Oz: The Wild Adventures of Dorothy, the Scarecrow, and the Tin Woodman
In time for the 100th anniversary of the publication of The Wizard of Oz, popular mathematician, pseudo-science debunker, professional literary eccentric and first chairman of the International Wizard of Oz Club Gardner (Classic Brainteasers; The Annotated Casey at the Bat) has cooked up this rather disenchanted bagatelle, mixing fin de (this) siecle satire with references to several childhood classics. As one would expect from the world's premier math puzzle expert, the book contains a little math puzzle. Dorothy, the Scarecrow and the Tin Man want to return to earth for a visit, but how can they get through the fourth dimension that separates Oz from earth?
Describes puzzles involving time travel paradoxes, hexes, stars, cards, anamorphic art, magic squares, and polygons. From coincidences that seem to violate the laws of time and space, to the perplexities of the rubber rope, to the centuries-old delights of tangram play, the puzzles, problems, and paradoxes presented in Time Travel and Other Mathematical Bewilderments reveal just how enlightening and entertaining mathematical recreations can be.
