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A History of Analysis.

The book describes the conceptual development of analysis from antiquity up to the end of the nineteenth century. Intra-theoretical processes are considered as well as the influence of applied problems and biographical and philosophical backgrounds. The book has thirteen chapters, each written by a...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Jahnke, Hans Niels
Format: Electronic eBook
Language:Alemán
Published: Providence : American Mathematical Society, 2003.
Series:History of mathematics.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Cover; Title page; Contents; Introduction; Antiquity; Precursors of differentiation and integration; Newton's method and Leibniz's calculus; Algebraic analysis in the 18th century; The origins of analytic mechanics in the 18th century; The foundation of analysis in the 19th century; Analysis and physics in the nineteenth century: The case of boundary-value problems; Complex function theory, 1780-1900; Theory of measure and integration from Riemann to Lebesgue; The end of the science of quantity: Foundations of analysis, 1860-1910; Differential equations: A historical overview to circa 1900.
  • The calculus of variations: A historical surveyThe origins of functional analysis; Index of names; Subject index; Back Cover.