From the Calculus to Set Theory 1630-1910 : An Introductory History /

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From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians fro...

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Detalles Bibliográficos
Otros Autores: Bos, H. J. M. (Contribuidor), Bunn, R. (Contribuidor), Dauben, Joseph W. (Contribuidor), Grattan-Guinness, I. (Contribuidor, Editor ), Hawkins, Thomas (Contribuidor), Møller Pedersen, Kirsti (Contribuidor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2020]
Temas:
MATHEMATICS / History & Philosophy.
Ada eruditorum.
Adequality.
Arithmetic.
Astronomy.
Berlin.
Consistency.
Continuity.
Decimal expansion.
Definitions.
Difference "ient.
Equations.
Fourier series.
Geometry.
Greek mathematics.
Heat diffusion.
Heine-Borel theorem.
Indivisibles.
Inequalities.
Integration.
Line-segments.
Mathematical analysis.
Mathematische Annalen.
Measure theory.
Optics.
Paris.
Quantification.
Sequence(s).
Series.
Statics.
Substitution.
Textbooks.
Time.
Trichotomy law.
Use and mention.
Variable(s).
Vicious circles.
Wallis's product.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface to the Princeton Edition
  • 0. Introductions and explanations
  • 1. Techniques of the calculus, 1630-1660
  • 2. Newton, Leibniz and the Leibnizian tradition
  • 3. The emergence of mathematical analysis and its foundational progress, 1780-1880
  • 4. The origins of modern theories of integration
  • 5. The development of Cantorian set theory
  • 6. Developments in the foundations of mathematics, 1870-1910
  • Bibliography
  • Name Index
  • Subject Index

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