Download or read book Satan Cantor And Infinity And Other Mind bogglin written by Raymond M. Smullyan and published by Knopf. This book was released on 2012-05-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Satan Cantor Infinity written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2009-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mystery of the Aleph written by Amir D. Aczel and published by Simon and Schuster. This book was released on 2001-08-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.
Download or read book The G delian Puzzle Book written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2013-08-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Alice in Puzzle land written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characters from Alice's Adventures in Wonderland and Through the Looking-Glass populate these 88 intriguing puzzles. Mathematician Raymond Smullyan re-creates the spirit of Lewis Carroll's writings in puzzles involving word play, logic and metalogic, and philosophical paradoxes. Challenges range from easy to difficult and include solutions, plus 60 charming illustrations. "An ingenious book." — Boston Globe.
Download or read book In Search of Infinity written by N.Ya. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.
Download or read book The Chess Mysteries of Sherlock Holmes written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2012 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Join Holmes and Watson as they examine interrupted games to deduce prior moves. A series of increasingly complex chess mysteries culminates in a double murder perpetrated by Professor Moriarty. The master sleuth instructs his companion (and us) in the intricacies of retrograde analysis; readers need only a knowledge of how the pieces move.
Download or read book An Episodic History of Mathematics written by Steven G. Krantz and published by MAA. This book was released on 2010-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Download or read book A Beginner s Guide to Mathematical Logic written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2014-03-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
Download or read book First Order Logic written by Raymond R. Smullyan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
Download or read book King Arthur in Search of His Dog and Other Curious Puzzles written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2010-04-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Almost Periodic Functions written by Harald Bohr and published by Courier Dover Publications. This book was released on 2018-08-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with a discussion of periodic functions, this groundbreaking exposition advances to the almost periodic case. An appendix covers the almost periodic functions of a complex variable. 1947 edition.
Download or read book Challenging Problems in Geometry written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 1996-05-21 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other topics. Challenges are arranged in order of difficulty and detailed solutions are included for all. An invaluable supplement to a basic geometry textbook.
Download or read book Theoretical Kinematics written by O. Bottema and published by Courier Corporation. This book was released on 1990-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods.
Download or read book Physics of Fully Ionized Gases written by Lyman Spitzer and published by Courier Corporation. This book was released on 2006-07-07 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic graduate-level volume was the first general but simple introduction to the fields of plasma and fusion research. Since its original publication in 1956, it has served as a valuable reference. Designed for those who have had an introductory course in theoretical physics but are otherwise unacquainted with the detailed kinetic theory of gases, it chiefly emphasizes macroscopic equations and their consequences. The contents are restricted to topics offering a theoretical understanding of plasma and fusion research. Subjects include the motion of a particle, macroscopic behavior of a plasma, waves in a plasma, equilibria and their stability, and encounters between changed particles. A helpful appendix offers background on the Boltzmann equation. Author Lyman Spitzer, Jr., was the first to propose the idea of placing a large telescope in space, and he was the driving force behind the development of the Hubble Space Telescope. Founder and director of Princeton's Plasma Physics Laboratory, a pioneering program in controlled thermonuclear research, Spitzer taught and inspired a generation of plasma physicists.
Download or read book Introduction to Hilbert Space and the Theory of Spectral Multiplicity written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-12-13 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results of the third chapter, the so-called multiplicity theory. The theory as he presents it deals with arbitrary spectral measures, including the multiplicity theory of normal operators on a not necessarily separable Hilbert space. His explication covers, as another useful special case, the multiplicity theory of unitary representations of locally compact abelian groups. Suitable for advanced undergraduates and graduate students in mathematics, this volume's sole prerequisite is a background in measure theory. The distinguished mathematician E. R. Lorch praised the book in the Bulletin of the American Mathematical Society as "an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely."
Download or read book Analytical Mechanics of Gears written by Earle Buckingham and published by Courier Corporation. This book was released on 1988-01-01 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a solid foundation for logical gear design practices and data. Topics include an analysis of conjugate gear-tooth action, nature of the contact, and resulting gear-tooth profiles of several types of gears, plus gear teeth in action. Indispensable guide for engineers concerned with tooth geometry, manufacturing accuracies, and general design. 1949 edition.
