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A historian looks back : the calculus as algebra and selected writings /

Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grabiner, Judith V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Washington, DC] : Mathematical Association of America, ©2010.
Colección:MAA spectrum.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The calculus as algebra
  • The mathematician, the historian, and the history of mathematics
  • Who gave you the epsilon? Cauchy and the origins of rigorous calculus
  • The changing concept of change: the derivative from Fermat to Weierstrass
  • The centrality of mathematics in the history of western thought
  • Descartes and problem-solving
  • The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy
  • Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions
  • Newton, Maclaurin, and the authority of mathematics
  • Why should historical truth matter to mathematicians? dispelling myths while promoting maths
  • Why did Lagrange "prove" the parallel postulate?