The Nature and Growth of Modern Mathematics

The Nature and Growth of Modern Mathematics

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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 qidealsq of Dedekind and Emmy Noether; and the importance of qpurifyingq 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.He has just involved himself in a aquot;vicious circleaquot; or he is aquot;begging the question, aquot; since if we fuse all Dada#39;s answers into one long chain, we find ... Also, histories of mathematics customarily suggest that the origins of geometry are to be found inanbsp;...

Title:The Nature and Growth of Modern Mathematics
Author:Edna E. Kramer
Publisher:Princeton University Press - 1982


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