Cauchy’s Cours d’analyse

An Annotated Translation

  • Robert E. Bradley
  • C. Edward Sandifer

Table of contents

  1. Front Matter
    Pages i-xxxii
  2. Robert E. Bradley, C. Edward Sandifer
    Pages 17-20
  3. Robert E. Bradley, C. Edward Sandifer
    Pages 117-158
  4. Robert E. Bradley, C. Edward Sandifer
    Pages 159-179
  5. Robert E. Bradley, C. Edward Sandifer
    Pages 241-256
  6. Robert E. Bradley, C. Edward Sandifer
    Pages 257-265
  7. Back Matter
    Pages 1-139

About this book

Introduction

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 every mathematics library, along with Newton's Principia and Euclid's Elements.

 

The authors' style mimics the look and feel of the second French edition. It is an essentially modern textbook style, about 75% narrative and 25% theorems, proofs, corollaries. Despite the extensive narrative, it has an essentially "Euclidean architecture" in its careful ordering of definitions and theorems. It was the first book in analysis to do this.

Cauchy's book is essentially a precalculus book, with a rigorous exposition of the topics necessary to learn calculus. Hence, any good quality calculus student can understand the content of the volume.

The basic audience is anyone interested in the history of mathematics, especially 19th century analysis.

 

In addition to being an important book, the Cours d'analyse is well-written, packed with unexpected gems, and, in general, a thrill to read.

 

Robert E. Bradley is Professor of Mathematics at Adelphi University.  C. Edward Sandifer is Professor of Mathematics at Western Connecticut State University.

Keywords

Calc Cauchy Cours d'analyse DEX Finite algebra calculus convergence equation form function functions history of mathematics mathematics variable

Authors and affiliations

  • Robert E. Bradley
    • 1
  • C. Edward Sandifer
    • 2
  1. 1.Dept. Mathematics & Computer ScienceAdelphi UniversityGarden CityUSA
  2. 2.Western Connecticut State UniversityDanburyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0549-9
  • Copyright Information Springer Science+Business Media, LLC 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-0548-2
  • Online ISBN 978-1-4419-0549-9
  • About this book