"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.

"Love and Math tells the two intertwined stories of mathematics and the adventure of one man in learning it. The result is a story about how he became one of the twenty-first century's leading mathematicians, working on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program. As Frenkel proves, a mathematical formula can be as elegant and beautiful as a painting, a poem, or a piece of music. And the process of creating new mathematics is just that, an artistic pursuit--a deeply personal experience, which requires passion, dedication, and love. In Love and Math, Frenkel shows readers the aesthetic--and the truly powerful--side of mathematics, and enables appreciation of the field even from those who have long been terrified by it."--Provided by publisher.

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.

This is a book of aspirations fulfilled, those of the author and his colleagues. It tells us what it is to be a mathematician and to do mathematics. It will be read with interest and enjoyment by those in mathematics and by those who might want to know what mathematicians and mathematical careers are like. Halmos, mathematician and expositor, has contributed much to ergodic theory, algebraic logic, operator theory, and the mathematical literature in general.

Uses excerpts from letters, memoirs, and documents to recreate the life of Ada Byron, daughter of the English poet, and discusses her contributions to mathematics and her friendships with the leading mathematicians of the period

A fascinating memoir from the man who revitalized visual geometry, and whose ideas about fractals have changed how we look at both the natural world and the financial world. Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena.

This is a book of aspirations fulfilled, those of the author and his colleagues. It tells us what it is to be a mathematician and to do mathematics. It will be read with interest and enjoyment by those in mathematics and by those who might want to know what mathematicians and mathematical careers are like. Halmos, mathematician and expositor, has contributed much to ergodic theory, algebraic logic, operator theory, and the mathematical literature in general.

"A biography of Dorothy Wrinch"--

This is an exciting if not rambling account of events of Raymond Smullyan's four lives -- as a mathematical logician, musician, magician, and author -- together with thoughts that come to his mind as he recalls them. This book includes topics from some of Smullyan's twenty-six books, as well as many of his favorite anecdotes and jokes. It also presents some generalizations of theorems of the great logicians Gödel and Tarski, and discusses logic in general, and how he won his wife with a logic trick! Smullyan also relates some of his teaching experiences, and expresses his views on mathematical education, and how our present textbooks are primarily responsible for its decline! About his life as a pianist, Smullyan relates a good deal about his experiences with the Piano Society -- a wonderful organization to which he is a staunch contributor, and how he has had such delightful relations with many of its members. Last but not least, Smullyan recounts how he has known some lovely ladies over the years.

This is a very frank and detailed account by a leading and very active mathematician of the past decades whose contributions have had an important impact in those fields where mathematics is now an integral part. It starts from his early childhood just after the First World War to his present-day positions as professor of mathematics, electrical engineering and medicine at the USC, which in itself reflects on the diversity of interests and experiences gained through the turbulent years when American mathematics and sciences established themselves on the forefront. The story traces the tortuous path Bellman followed from Brooklyn College; the University of Wisconsin to Princeton during the war years; more than a decade with the RAND Corporation; with frequent views of more than just the academic circles, including his experiences at Los Alamos on the A-bomb project.Bellman gives highly personalised views of key personalities in mathematics, physics and other areas, and his motivations and the forces that helped shape dynamic programming and other new areas which emerged as consequences of fruitful applications of mathematics.

In 1921, when he was 11 years old, Anatol Rapoport attempted to ice skate out of Russia to freedom in Poland. Caught by border guards and turned back, he decided to try again with the help of professional Army smugglers. This bittersweet story of emigration, by the famed psychologist and mathematician known for his work in game theory, is set against the background of the Russian revolution and civil war. Poignant accounts of life in the Ukraine and Crimea, stories of Red and White Army soldiers bivouacking in his home, and a 200-mile train ride that takes 13 days in the comfort of a boxcar make this Canadian/American author's story unforgettable.

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.