Set Theory and the Continuum Hypothesis

Author: Paul J. Cohen
Publisher: Courier Corporation
ISBN: 9780486469218
Release Date: 2008-12-09
Genre: Mathematics

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

Set Theory and the Continuum Problem

Author: Raymond M. Smullyan
Publisher:
ISBN: 0486474844
Release Date: 2010
Genre: Mathematics

A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.

A Book of Set Theory

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 9780486497082
Release Date: 2014-07-23
Genre: Mathematics

"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Naive Mengenlehre

Author: Paul R. Halmos
Publisher: Vandenhoeck & Ruprecht
ISBN: 3525405278
Release Date: 1976
Genre: Arithmetic


The Philosophy of Set Theory

Author: Mary Tiles
Publisher: Courier Corporation
ISBN: 9780486138558
Release Date: 2012-03-08
Genre: Mathematics

DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

Grundz ge der Mengenlehre

Author: Felix Hausdorff
Publisher: American Mathematical Soc.
ISBN: 082840061X
Release Date: 1949-01-01
Genre: Mathematics

This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German.

What Is Mathematical Logic

Author: J. N. Crossley
Publisher: Courier Corporation
ISBN: 9780486151526
Release Date: 2012-08-29
Genre: Mathematics

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.

Das BUCH der Beweise

Author: Martin Aigner
Publisher: Springer-Verlag
ISBN: 9783662064542
Release Date: 2013-07-29
Genre: Mathematics

Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit

Satan Cantor Infinity

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 9780486470368
Release Date: 2009
Genre: Games

Honorable knights, lying knaves, and other fanciful characters populate this unusual survey of the principles underlying the works of Georg Cantor. Created by a renowned mathematician, these engaging puzzles apply logical precepts to issues of infinity, probability, time, and change. They require a strong mathematics background and feature complete solutions.

The Surprise Attack in Mathematical Problems

Author: Louis A. Graham
Publisher: Courier Dover Publications
ISBN: 9780486820767
Release Date: 2017-03-17
Genre: Mathematics

An unusual problem book that focuses on the method of solution, this collection spotlights 52 problems, each with several approaches to situations involving measurement of geometrical spaces, probabilities, distances, relative motion, more.

King Arthur in Search of His Dog and Other Curious Puzzles

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 9780486474359
Release Date: 2010-04-21
Genre: Mathematics

This fanciful, original collection for readers of all ages features arithmetic puzzles, logic problems related to crime detection, and logic and arithmetic puzzles involving King Arthur and his Dogs of the Round Table.

Popular Lectures on Mathematical Logic

Author: Hao Wang
Publisher: Courier Corporation
ISBN: 9780486171043
Release Date: 2014-09-22
Genre: Mathematics

Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.