The nature and growth of modern mathematics
著者
書誌事項
The nature and growth of modern mathematics
(Princeton paperbacks)
Princeton University Press, 1982
- : pbk.
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注記
Originally published: New York : Hawthorn Books, 1970
Bibliography: p. [719]-721
Includes index
内容説明・目次
内容説明
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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