Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    An essential pastime of Russian intellectuals and revolutionaries, and later adopted by the Communists as a symbol of Soviet power, chess was inextricably linked to the rise and fall of the “evil empire.” This original narrative history recounts in gripping detail the singular part the Immortal Game played in the Cold War. From chess’s role in the Russian Revolution -- Marx, Lenin, and Trotsky were all avid players -- to the 1945 radio match when the Soviets crushed the Americans, prompting Stalin’s telegram “Well done lads!”; to the epic contest between Bobby Fischer and Boris Spassky in 1972 at the height of détente, when Kissinger told Fischer to “go over there and beat the Russians”; to the collapse of the Soviet Union itself, White King and Red Queen takes us on a fascinating tour of the Cold War’s checkered landscape.

    From the Purple Machine to the Navajo Talkers to the breaking of Japan's JN-25 Naval Code to the shadowy world of decoding units like Hut-8 in Bletchley Park, he shows how crucial information-often obtained by surreptitious and violent means-was the decisive edge in the Battle of Britain, at Midway and against the U-Boats in the North Atlantic, and how Allied intelligence saved the Soviet Union from almost certain defeat. In an accessible account based on years of research, interviews and exclusive access to previously top-secret archives, Haufler demonstrates how cryptography enabled Nimitz and MacArthur to persevere in the Pacific and helped Eisenhower and Patton mount the assaults on Normandy. In compelling detail, Haufler shows us how it was done-as only one who was on the frontlines of the "secret war" could tell it.