Your Move: Logic, Math and Word Puzzles for Enthusiasts by David L. Silverman Treasury of 100 board, map and word games, variations of chess and checker games, "life games," many more. Solutions for 80 included; 20 unsolved puzzles will challenge serious gamester. 115 illustrations.
Professor Hoffmann's Best Math and Logic Puzzles by Louis Hoffmann These pleasantly perplexing highlights from the classic 1893 puzzle book abound in Victorian charm. They include both arithmetic problems and challenges involving words and letters. Complete solutions.
Logic in Elementary Mathematics by Robert M. Exner, Myron F. Rosskopf This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics. Numerous examples and exercises. 1959 edition.
Foundations of Mathematical Logic by Haskell B. Curry Comprehensive graduate-level account of constructive theory of first-order predicate calculus covers formal methods: algorithms and epitheory, brief treatment of Markov's approach to algorithms, elementary facts about lattices, logical connectives, more. 1963 edition.
Introduction to Elementary Mathematical Logic by A. A. Stolyar Lucid, accessible exploration of propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. 1970 edition.
What Is Mathematical Logic? by J. N. Crossley, C.J. Ash, C.J. Brickhill, J.C. Stillwell 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.
First Course in Mathematical Logic by Patrick Suppes, Shirley Hill Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.
King Arthur in Search of His Dog and Other Curious Puzzles by Raymond M. Smullyan 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.
Mental Magic: Surefire Tricks to Amaze Your Friends by Martin Gardner, Jeff Sinclair Professor Picanumba has dozens of surefire tricks up his sleeve — and he's willing to show junior mathemagicians how to predict the answers to 88 word and number challenges. Includes solutions and illustrations.
The Lady or the Tiger?: and Other Logic Puzzles by Raymond M. Smullyan Created by a renowned puzzle master, these whimsically themed challenges involve paradoxes about probability, time, and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex. 1982 edition.
Satan, Cantor and Infinity: Mind-Boggling Puzzles by Raymond M. Smullyan A renowned mathematician tells stories of knights and knaves in an entertaining look at the logical precepts behind infinity, probability, time, and change. Complete solutions appear within the narrative of the text.
The Moscow Puzzles: 359 Mathematical Recreations by Boris A. Kordemsky Most popular Russian puzzle book ever published. Brainteasers range from simple "catch" riddles to difficult problems. Lavishly illustrated. First English translation. Introduction. Solutions.
Entertaining Mathematical Puzzles by Martin Gardner A mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. 65 black-and-white illustrations.
Solve murder problems and robberies, see which fishermen are liars and how a blind man can identify color — purely by reasoning! Hours of mind-strengthening entertainment.
Clarence Raymond Wylie, Jr., had a long career as a writer of mathematics and engineering textbooks. His Advanced Engineering Mathematics was the standard text in that field starting in the 1950s and for many decades thereafter. He also wrote widely used textbooks on geometry directed at students preparing to become secondary school teachers, which also serve as very useful reviews for college undergraduates even today. Dover reprinted two of these books in recent years, Introduction to Projective Geometry in 2008 and Foundations ofGeometry in 2009.
The author is important to our program for another reason, as well. In 1957, when Dover was publishing very few original books of any kind, we published Wylie's original manuscript 101 Puzzles in Thought and Logic. The book is still going strong after 55 years, and the gap between its first appearance in 1957 and Introduction to Projective Geometry in 2008 may be the longest period of time between the publication of two books by the same author in the history of the Dover mathematics program. Wylie's 1957 book launched the Dover category of intriguing logic puzzles, which has seen the appearance of many books by some of the most popular authors in the field including Martin Gardner and, more recently, Raymond Smullyan.
Here's a quick one from 101 Puzzles in Thought and Logic:
If it takes twice as long for a passenger train to pass a freight train after it first overtakes it as it takes the two trains to pass when going in opposite directions, how many times faster than the freight train is the passenger train?
Answer: The passenger train is three times as fast as the freight train.
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