I became a scientist because I enjoyed the puzzles in Scientific American. I loved the notion that through mere thought, one could solve a question that at first glance seemed impossible to solve. When I had to design methods to detect ephemeral failures in electronic circuits underlying a mainframe computer, I created a puzzle having occasional liars. When I thought about ways to understand global wars, I constructed a puzzle about bullies in a playground. Some of my puzzles have been very computational, some purely paper and pencil. Over the years, my puzzles have appeared in Scientific American, Dr. Dobb’s Journal, and the Communications of the ACM.
Abraham Lincoln famously had little formal education but was capable of sophisticated logical thinking in his arguments. He credits his ability to form his arguments to his encounter with Euclid’s writings about geometry. He felt in awe by the notion of “demonstration” and went on to apply that notion to his compelling arguments about the injustice and hypocrisy of slavery.
This volume presents nearly 250 of Lincoln's most important speeches, state papers, and letters in their entirety. Here are not only the masterpieces,the Gettysburg Address, the Inaugural Addresses, the 1858 Republican Convention Speech, the Emancipation Proclamation,but hundreds of lesser-known gems. Alfred Kazin has written that Lincoln was "not just the greatest writer among our Presidents . . . but the most telling and unforgettable of all American'public' writer-speakers," and it's never been cleaner than in this comprehensive edition.
Peter Winkler is an outstanding theoretical computer scientist, which is another way of saying that he is a mathematician who loves combinatorics and logic. He brings the precision and clarity of a mathematician to both the presentation and the solutions of his puzzles. The book consists of great puzzles from the centuries. Professor Winkler has excellent taste.
Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles. The answers are easy to explain, but without this book, devilishly hard to find. Creative reasoning is the key to these puzzles. No involved computation or higher mathematics is necessary, but your ability to construct a mathematical proof will be severly tested--even if you are a professional mathematician. For the truly adventurous, there is even a chapter on unsolved puzzles.
Raymond Smullyan is a professor, a magician, and an author. In this book, he combines humor with logic and a flair for magic in a set of ingenious puzzles. Though the puzzles initially appear to be quirky and light-hearted, they evolve towards some of the deepest topics in modern logic, including the undecidability of even simple fields of mathematics. You will enjoy a sense of wonder at both the puzzles and their solutions.
"The most original, most profound, and most humorous collection of recreational logic and math problems ever written." — Martin Gardner, Scientific American "The value of the book lies in the wealth of ingenious puzzles. They afford amusement, vigorous exercise, and instruction." — Willard Van Orman Quine, The New York Times Book Review If you're intrigued by puzzles and paradoxes, these 200 mind-bending logic puzzles, riddles, and diversions will thrill you with challenges to your powers of reason and common sense. Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200…
In this book, George Polya explains some techniques for solving problems. While this might sound too much like a textbook, the book features puzzles and their solution and a systematic guide as to how to find such a solution. He shows that mathematics is an empirical science, full of experimentation and dead ends, but, with a little luck, crowned with a solution.
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
In the history of science, fields of studies have evolved from empirical to principled. In linguistics, field linguists had understood the need to construct grammars of languages they encountered. Noam Chomsky understood the need to place grammars into a mathematical hierarchy of formalisms, showing through brilliant counter-examples which grammatical constructs could be handled by each formalism. For example, Chomsky showed that finite state automata model noun phrases beautifully but fail with if-then sentences. He showed that context-free grammars handle if-then, but fail at passive constructions. The book offered a new way to think about language.
Noam Chomsky's first book on syntactic structures is one of the first serious attempts on the part of a linguist to construct within the tradition of scientific theory-construction a comprehensive theory of language which may be understood in the same sense that a chemical, biological theory is understood by experts in those fields. It is not a mere reorganization of the data into a new kind of library catalogue, nor another specualtive philosophy about the nature of man and language, but rather a rigorus explication of our intuitions about our language in terms of an overt axiom system, the theorems…
Dr. Ecco is a mathematical detective. People come to him from all over the planet and pose questions that require logic and/or mathematics to solve, some of which involve danger. Unlike other detective novels, the reader has exactly the information that Dr. Ecco has, so you can match wits with the Greenwich Village detective.
I come by my interest in history and the years before, during, and after the Second World War honestly. For one thing, both my father and my father-in-law served as pilots in the war, my father a P-38 pilot in North Africa and my father-in-law a B-17 bomber pilot in England. Their histories connect me with a period I think we can still almost reach with our fingertips and one that has had a momentous impact on our lives today. I have taken that interest and passion to discover and write true life stories of the war—focusing on the untold and unheard stories often of the “Average Joe.”
October 24, 1944, is not a day of national remembrance. Yet, more Americans serving in World War II perished on that day than on any other single day of the war.
The narrative of No Average Day proceeds hour by hour and incident by incident while focusing its attention on ordinary individuals—clerks, radio operators, cooks, sailors, machinist mates, riflemen, and pilots and their air crews. All were men who chose to serve their country and soon found themselves in a terrifying and otherworldly place.
No Average Day reveals the vastness of the war as it reaches past the beaches in…
October 24, 1944, is not a day of national remembrance. Yet, more Americans serving in World War II perished on that day than on December 7, 1941, when the Japanese attacked Pearl Harbor, or on June 6, 1944, when the Allies stormed the beaches of Normandy, or on any other single day of the war. In its telling of the events of October 24, No Average Day proceeds hour by hour and incident by incident. The book begins with Army Private First-Class Paul Miller's pre-dawn demise in the Sendai #6B Japanese prisoner of war camp. It concludes with the death…
