Macrae, N. :

John von Neumann:

The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much More

This volume is the reprinted edition of the first full-scale biography of the man widely regarded as the greatest scientist of the century after Einstein. Born in Budapest in 1903, John von Neumann grew up in one of the most extraordinary of scientific communities. von Neumann's work in areas such as game theory, mathematics, physics, and meteorology formed thebuilding blocksfor the most important discoveries of the century: the modern computer, game theory, the atom bomb, radar, and artificialintelligence, to name just a few. From the laboratory to the highest levels of government, this definitivebiography gives us a behind-the-scenes look at the politics andpersonalities involved in these world-changing discoveries. Written more than 30 years after von Neumann’s untimely death at age 56, it was preparedwith the cooperation of his family and includes information gained from interviewing countless sources across Europe and America. Norman Macrae paints a highly readable, humanizing portrait of a man whose legacy still influences and shapes modern science and knowledge. 1999 406 pp. 0-8218-2064-8 6,330.

History of Mathematics, Vol. 17:

Hadamard, J. / Gray, J. / Shenitzer, A. (eds.):

Non-Euclidean Geometry in the Theory of Automorphic Functions

This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincar's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry. The implications of these discoveries continue to be important to this day in numerous different areas of mathematics. Hadamard begins with hyperbolic geometry, which he compares with plane and spherical geometry. He discusses the corresponding isometry groups, introduces the idea of discrete subgroups, and shows that the corresponding quotient spaces are manifolds. This book is the second in an informal sequence of works called "History of Mathematics, Sources" to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. 1999 102 pp. 0-8218-2030-3 3,440.

A. M. S.