Satan Cantor And Infinity And Other Mind Bogglin
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Author | : Raymond M. Smullyan |
Publisher | : Knopf |
Total Pages | : 281 |
Release | : 2012-05-30 |
Genre | : Games & Activities |
ISBN | : 0307819825 |
More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.
Author | : Raymond M. Smullyan |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2009-01-01 |
Genre | : Games & Activities |
ISBN | : 0486470369 |
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.
Author | : Raymond M. Smullyan |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2013-08-21 |
Genre | : Mathematics |
ISBN | : 0486315770 |
These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.
Author | : Stephen Cole Kleene |
Publisher | : Courier Corporation |
Total Pages | : 436 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486317072 |
Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
Author | : Raymond M. Smullyan |
Publisher | : Oxford University Press, USA |
Total Pages | : 258 |
Release | : 2000 |
Genre | : Games & Activities |
ISBN | : 0192801422 |
The author of Forever Undecided, Raymond Smullyan continues to delight and astonish us with his gift for making available, in the thoroughly pleasurable form of puzzles, some of the most important mathematical thinking of our time.
Author | : Louis A. Graham |
Publisher | : Courier Dover Publications |
Total Pages | : 161 |
Release | : 2017-03-17 |
Genre | : Mathematics |
ISBN | : 0486820769 |
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.
Author | : Boris Pritsker |
Publisher | : Courier Dover Publications |
Total Pages | : 145 |
Release | : 2017-08-22 |
Genre | : Mathematics |
ISBN | : 0486824810 |
A high school course in geometry and interest in the subject are the only prerequisites for this recreational math book. Includes relevant theorems, worked examples, and problems for readers to solve. Solutions included.
Author | : Martin Davis |
Publisher | : Courier Corporation |
Total Pages | : 129 |
Release | : 2013-05-27 |
Genre | : Mathematics |
ISBN | : 0486315819 |
Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.
Author | : R. W. Ogden |
Publisher | : Courier Corporation |
Total Pages | : 562 |
Release | : 2013-04-26 |
Genre | : Technology & Engineering |
ISBN | : 0486318710 |
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Author | : James H. Smith |
Publisher | : Courier Dover Publications |
Total Pages | : 244 |
Release | : 2016-03-22 |
Genre | : Science |
ISBN | : 0486808963 |
By the year 1900, most of physics seemed to be encompassed in the two great theories of Newtonian mechanics and Maxwell's theory of electromagnetism. Unfortunately, there were inconsistencies between the two theories that seemed irreconcilable. Although many physicists struggled with the problem, it took the genius of Einstein to see that the inconsistencies were concerned not merely with mechanics and electromagnetism, but with our most elementary ideas of space and time. In the special theory of relativity, Einstein resolved these difficulties and profoundly altered our conception of the physical universe. Readers looking for a concise, well-written explanation of one of the most important theories in modern physics need search no further than this lucid undergraduate-level text. Replete with examples that make it especially suitable for self-study, the book assumes only a knowledge of algebra. Topics include classical relativity and the relativity postulate, time dilation, the twin paradox, momentum and energy, particles of zero mass, electric and magnetic fields and forces, and more.