Cauchy's Calcul Infinitésimal An Annotated English Translation /

• Main Author: Cates, Dennis M. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematics.; History.; Calculus.; History of Mathematical Sciences.

This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnic stude...

Table of Contents:

• Differential Calculus
• Lecture One
• Lecture Two
• Lecture Three
• Lecture Four
• Lecture Five
• Lecture Six
• Lecture Seven
• Lecture Eight
• Lecture Nine
• Lecture Ten
• Lecture Eleven
• Lecture Twelve
• Lecture Thirteen
• Lecture Fourteen
• Lecture Fifteen
• Lecture Sixteen
• Lecture Seventeen
• Lecture Eighteen
• Lecture Nineteen
• Lecture Twenty
• Integral Calculus
• Lecture Twenty-One
• Lecture Twenty-Two
• Lecture Twenty-Three
• Lecture Twenty-Four
• Lecture Twenty-Five
• Lecture Twenty-Six
• Lecture Twenty-Seven
• Lecture Twenty-Eight
• Lecture Twenty-Nine
• Lecture Thirty
• Lecture Thirty-One
• Lecture Thirty-Two
• Lecture Thirty-Three
• Lecture Thirty-Four
• Lecture Thirty-Five
• Lecture Thirty-Six
• Lecture Thirty-Seven
• Lecture Thirty-Eight
• Lecture Thirty-Nine
• Lecture Forty
• Addition
• Appendices
• Appendix A: Cours D'Analyse-Chapter II, §III
• Appendix C: Cours D'Analyse-Note II
• Appendix: Cours D'Analyse-Note III
• Appendix D: On the Formulas of Taylor & Maclaurin
• Appendix E: Pagination of the 1823 and 1899 Editions
• References
• Index.