Cauchys Cours danalyse An Annotated Translation /

• Main Authors: Bradley, Robert E. (Author), Sandifer, C. Edward. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Sources and Studies in the History of Mathematics and Physical Sciences
• Subjects: Mathematics.; Global analysis (Mathematics).; Mathematics_$xHistory.; History of Mathematics.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-0549-9

This is an annotated and indexed translation (from French into English) of Augustin Louis Cauchy's 1821 classic textbook Cours d'analyse. This is the first English translation of a landmark work in mathematics, one of the most influential texts in the history of mathematics. It belongs in...

Table of Contents:

• Translators Introduction
• Cauchy's Introduction
• Preliminaries
• First Part: Algebraic Analysis
• On Real Functions
• On Quantities that are Infinitely Small or Infinitely Large, and on the Continuity of Functions
• On Symmetric Functions and Alternating Functions
• Determination of Integer Functions
• Determination of continuous functions of a single variable that satisfy certain conditions
• On convergent and divergent (real) series
• On imaginary expressions and their moduli
• On imaginary functions and variables
• On convergent and divergent imaginary series
• On real or imaginary roots of algebraic equations for which the first member is a rational and integer of one variable
• Decomposition of rational fractions
• On recursive series
• Notes on Algebraic Analysis
• Bibliography
• Index.