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The nature and growth of modern mathematics
- Author / Creator
- Available as
- Physical
- Summary
-
The 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 ...
The 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; erogodic theorems; epsilon-delta arithmetization; integral equations.
Details
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- Creator
- by Edna E. Kramer
- Format
- Books
- Language
- English
- Publication
-
- New York : Hawthorn Books, [1970]
- ©1970
- Physical Details
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- xxiv, 758 pages : illustrations ; 26 cm
- OCLC
- ocm00079724, ocm00079724
- Includes bibliographical references (pages 719-721).
- From Babylonian beginnings to digital computers -- Mathematical method and main streams are launched -- Mathematical reasoning from Eudoxus to Lobachevsky -- Algebra from Hypatia to Hamilton -- Equations, human and inhuman -- A universal language -- Forefathers of modern mathematics and their legacy -- A calculus for heaven and earth -- Determinism and its creators -- The elements of strategy in war and peace -- Probabilistic models, great expectations and randomized strategies -- General games and statistical decision theory -- From dice to quantum theory and quality control -- Realm of random variables -- Demons, energy, Maxwell and Gibbs --Sweet manuscript of youth -- The unification of geometry -- A special group and its application -- Geometry for universe-builders -- Post-relativity geometry -- East meets West in the higher arithmetic -- The reformation of analysis -- Royal roads to functional analysis -- Infinite hierarchy -- Angelic geometry -- The Leondardos of modern mathematics -- 20th century vistas : analysis -- 20th century vistas : algebra -- 20th century vistas : logic and foundations -- Retrospect and prospect