Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel’s undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.

    Weaving together his immersive interest in people and history with insights gathered from his own experiences, Stephen Wolfram gives an ennobling look at some of the individuals whose ideas and creations have helped shape our world today. Contents includes biographical sketches of: Richard Feynman Kurt Godel Alan Turing John von Neumann George Boole Ada Lovelace Gottfried Leibniz Benoit Mandelbrot Steve Jobs Marvin Minsky Russell Towle Bertrand Russell Alfred Whitehead Richard Crandall Srinivasa Ramanujan Solomon Golomb

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    Many of the innovations that we think of as hallmarks of Western science had their roots in the Arab world of the middle ages, a period when much of Western Christendom lay in intellectual darkness. Jim al- Khalili, a leading British-Iraqi physicist, resurrects this lost chapter of history, and given current East-West tensions, his book could not be timelier. With transporting detail, al-Khalili places readers in the hothouses of the Arabic Enlightenment, shows how they led to Europe's cultural awakening, and poses the question: Why did the Islamic world enter its own dark age after such a dazzling flowering?

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    The Fuehrer had begun cataloguing the art he planned to collect as well as the art he would destroy: "degenerate" works he despised.In a race against time, behind enemy lines, often unarmed, a special force of American and British museum directors, curators, art historians, and others, called the Momuments Men, risked their lives scouring Europe to prevent the destruction of thousands of years of culture.Focusing on the eleven-month period between D-Day and V-E Day, this fascinating account follows six Monuments Men and their impossible mission to save the world's great art from the Nazis.

    Those who served her throne, or her bed, were well rewarded while the serfs were condemned to ever-worsening conditions. Men were instruments of pleasure. The weak had to perish. The future belonged to men - and sometimes a man could have the outward appearance of a woman. She was proof of that. This literary tour de force paints an enthralling picture of Catherine, her seductions, her coaxings and her phenomenal devotion to politics and work, but it also brings the Russian court - with all its intrigues - brilliantly to life.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    It premiered 37 years ago, in 1973, and, after 31 series it finally came to an end last year – even though all its original protagonists – Compo, Foggy, even Nora Batty – are now dead. Remarkably, for a series of such longevity and international appeal, it is all about elderly people, has little action or plot, and is set and filmed in and around the small Yorkshire town of Holmfirth. Now, Andrew Vine, the deputy editor of Yorkshire’s daily newspaper, has written the definitive history of this television phenomenon. It covers the show’s inauspicious beginnings, with low ratings, its endless reinvention as participants like Bill Owen, Michael Bates, Brian Wilde and Kathy Staff retired or died, the appearance of a string of guest stars from John Cleese and Norman Wisdom to Thora Hird and Russ Abbott (both of whom soon found themselves fixtures in the cast), and the ingenious plot contrivances as the protagonists became too old and frail to attempt any of the slapstick stunts with runaway prams – indeed any outdoor action. Holmfirth is now a year-round tourist attraction, and endless repeats and new DVD box sets will ensure a readership for this book for years to come.

    But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.Hidden symmetries were first discovered nearly two hundred years ago by French mathematician �variste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

    Until then the war had seemed far away, not something that would touch her or her teenage friends. Now Suzanne's family is kicked out onto the street as German soldiers take over their house as a barracks.Suzanne clings to the one thing she really loves--singing. Her voice is so amazing that she is training to become an opera singer. As Suzanne travels around for rehearsals, costume fittings, or lessons, she learns more about what the Nazis are doing and about the people who are "disappearing." Her travels are noticed by someone else, an organizer of the French Resistance. Soon Suzanne is a secret courier, a spy fighting for France and risking her own life for freedom.

    He was eager to begin his first practice, but it turned out to be more than he bargained for. In just two years, in September, 1918, the entire village was sickened in rapid succession in the flu pandemic that killed quickly and indiscriminately throughout the world. It was wartime, and Nixon was unable to find help., This story is an up close and personal account of what it was like to be sick with the HINI type virus in 1918. It is a tale of a dedicated doctor whose selflessness, compassion and courage helped the villagers survive in the pandemic that killed more people in a year than the Black Death killed in a century...

    Cecilia Payne-Gaposchkin, a tireless innovator who correctly theorized the substance of stars, was one of them.It was not easy being a woman of ambition in early twentieth-century England, much less one who wished to be a scientist. Cecilia Payne-Gaposchkin overcame prodigious obstacles to become a woman of many firsts: the first to receive a PhD in astronomy from Radcliffe College, the first promoted to full professor at Harvard, the first to head a department there. And, in what has been called “the most brilliant PhD thesis ever written in astronomy,” she was the first to describe what stars are made of.Payne-Gaposchkin lived in a society that did not know what to make of a determined schoolgirl who wanted to know everything. She was derided in college and refused a degree. As a graduate student, she faced formidable skepticism. Revolutionary ideas rarely enjoy instantaneous acceptance, but the learned men of the astronomical community found hers especially hard to take seriously. Though welcomed at the Harvard College Observatory, she worked for years without recognition or status. Still, she accomplished what every scientist yearns for: discovery. She revealed the atomic composition of stars―only to be told that her conclusions were wrong by the very man who would later show her to be correct.In What Stars Are Made Of, Donovan Moore brings this remarkable woman to life through extensive archival research, family interviews, and photographs. Moore retraces Payne-Gaposchkin’s steps with visits to cramped observatories and nighttime bicycle rides through the streets of Cambridge, England. The result is a story of devotion and tenacity that speaks powerfully to our own time.

    

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.