A History of Analysis
About this Title
Hans Niels Jahnke, University of Essen, Essen, Germany, Editor
Publication: History of Mathematics
Publication Year:
2003; Volume 24
ISBNs: 978-0-8218-2623-2 (print); 978-1-4704-3892-0 (online)
DOI: https://doi.org/10.1090/hmath/024
MathSciNet review: MR1998242
MSC: Primary 01A05; Secondary 01-06, 26-03, 28-03, 34-03, 46-03, 49-03
Table of Contents
Front/Back Matter
Chapters
- 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 survey
- The origins of functional analysis