Mathematics as a Cultural SystemPergamon Press, 1981 - Всего страниц: 182 Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a f ... |
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The nature of Culture and Cultural Systems | 1 |
41 | 14 |
Examples of Cultural Patterns Observable in | 21 |
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19th century abstraction acceptance achieve algebra already analysis analytic geometry arithmetic axioms Babylonian become calculus Cantor capacity Chapter cited classical complex numbers computer theory conceptual stress concerning considered consolidation course cultural elements cultural system Desargues Descartes diffusion discovery discussion early environmental stress especially Euclid's Elements Euclidean geometry evolution of mathematics evolved example existence Fermat fields of mathematics Girard Desargues Greek growth hereditary stress history of mathematics important infinite instance interest intuition invention Ionian numerals L. E. J. Brouwer later mathe mathematical community mathematical concepts mathematical culture mathematical evolution mathematical logic mathematicians methods modern mathematics natural numbers natural sciences non-Euclidean geometries number theory occur operations patterns phenomenon philosophy physics Poncelet problems projective geometry proof recognized regarding remarks result Saccheri scientific seems set theory set-theoretic social solution status subculture symbols term theorems theory of sets topology usually vector Wilder