Now available in a one-volume paperback, this book traces the
development of the most important mathematical concepts, giving
special attention to the lives and thoughts of such mathematical
innovators as Pythagoras, Newton, Poincare, and Godel. Beginning
with a Sumerian short story--ultimately linked to modern digital
computers--the author clearly introduces concepts of binary
operations; point-set topology; the nature of post-relativity
geometries; optimization and decision processes; ergodic theorems;
epsilon-delta arithmetization; integral equations; the beautiful
"ideals" of Dedekind and Emmy Noether; and the importance of
"purifying" mathematics. Organizing her material in a conceptual
rather than a chronological manner, she integrates the traditional
with the modern, enlivening her discussions with historical and
biographical detail.
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