"The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor Hilbert, and Gödel, before turning to Turing. Turing's analysis of algorithmic processes led to a single, all-purpose machine that could be programmed to carry out such processes--the computer. Davis describes how this incredible group, with lives as extraordinary as their accomplishments, grappled with logical reasoning and its mechanization. By investigating their achievements and failures, he shows how these pioneers paved the way for modern computing. Bringing the material up to date, this revised edition features a much expanded version of the discussion of artificial intelligence and current technology, and the way it confirms the significance of Turing's pencil-and-paper universal machine with infinite memory and unlimited time for computations. More is written about the events at Princeton involving Alonzo Church (who was the doctoral advisor of Davis as well as Turing), Stephen Kleene, and Kurt Gödel that led Turing to come there. Finally, further exploration of the relationship between Kronecker and Cantor can also be found" -- From the publisher.

With his ability to make abstract ideas concrete and approachable, Berlinski tells an engrossing tale and introduces us to one of the greatest of all human endeavours.

This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world?

"Bestselling popular science author Amir Aczel selects the most fascinating individuals and stories in the history of mathematics, presenting a colorful narrative that explores the quirky personalities behind some of the most profound, enduring theorems. Through such mathematical geniuses as Archimedes, Leonardo of Pisa (a.k.a. Fibonacci), Tartaglia ("the stutterer"), Descartes, Gottfried Leibniz, Carl Gauss, Joseph Fourier (Napoleon's mathematician), Evariste Galois, Georg Cantor, Ramanujan, and "Nicholas Bourbaki," we gather little known details about the alliances and rivalries that profoundly impacted the development of what the scheming doctor-turned-mathematician Geronimo Girolamo called "The Great Art." This story of mathematics is not your dry "college textbook" account; tales of duels, battlefield heroism, flamboyant arrogance, pranks, secret societies, imprisonment, feuds, theft, and even some fatal errors of judgment fill these pages (clearly, genius doesn't guarantee street smarts). Ultimately, readers will come away from this book entertained, with a newfound appreciation of the tenacity, complexity, eccentricity, and brilliance of the mathematical genius"--

Augusta Ada Byron, Countess of Lovelace, was the daughter of Lord Byron and a close friend to many of the leading figures of the Victorian era; based on her report on Charles Babbage's Analytical Engine she is also generally known as the inventor of the science of computer programming. In this engrossing biography, Dorothy Stein strips away the many layers of myth to reveal a story far more dramatic and fascinating than previous accounts have indicated. Dorothy Stein is a psychologist with a special interest in thought and language and a background in physics and computer programming. She has taught courses in nineteenth-century women's history and in the biology and psychology of sex differences, and is particularly concerned with the use of myth in science.

Based on the remarkable true story of G. H. Hardy and Srinivasa Ramanujan, and populated with such luminaries such as D. H. Lawrence, Bertrand Russell, and Ludwig Wittgenstein, The Indian Clerk takes this extraordinary slice of history and transforms it into an emotional and spellbinding story about the fragility of human connection and our need to find order in the world. A literary masterpiece, it appeared on four bestseller lists, including the Los Angeles Times , and received dazzling reviews from every major publication in the country.

"A biography of Dorothy Wrinch"--

This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible. Although he has been an academic for all of his adult life, his biography is not without drama and tragedy. Lax and his family barely escaped to the U.S. from Budapest before the Holocaust descended. He was one of the youngest scientists to work on the Manhattan Project. He played a leading role in coping with the infamous "kidnapping" of the NYU mathematics department's computer, in 1970. The list of topics in which Lax made fundamental and long-lasting contributions is remarkable: scattering theory, solitons, shock waves, and even classical analysis, to name a few. His work has been honored many times, including the Abel Prize in 2005. The book concludes with an account of his most important mathematical contributions, made accessible without heavy prerequisites. Reuben Hersh has written extensively on mathematics. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science. Hersh is emeritus professor of mathematics at the University of New Mexico.