Satan, Cantor, And Infinity And Other Mind-bogglin

Satan, Cantor, And Infinity And Other Mind-bogglin
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.

Satan, Cantor & Infinity

Satan, Cantor & Infinity
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.

The Gödelian Puzzle Book

The Gödelian Puzzle Book
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.

Mathematical Logic

Mathematical Logic
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.

To Mock a Mockingbird

To Mock a Mockingbird
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.

The Surprise Attack in Mathematical Problems

The Surprise Attack in Mathematical Problems
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.

Geometrical Kaleidoscope

Geometrical Kaleidoscope
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.

A First Course in Functional Analysis

A First Course in Functional Analysis
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.

Non-Linear Elastic Deformations

Non-Linear Elastic Deformations
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.

Introduction to Special Relativity

Introduction to Special Relativity
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.