Cauchy, Augustin Louis (Author)
Bradleya, Robert E. (Author)
Sandifer, Charles Edward (Author)
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.
...MoreReview Jahnke, Hans Niels (2012) Review of "Cauchy's Cours D'analyse: An Annotated Translation". Historia Mathematica (pp. 467-469).
Article
Spalt, Detlef D.;
(2002)
Cauchys Kontinuum: Eine historiografische Annäherung via Cauchys Summensatz
(/isis/citation/CBB000200224/)
Article
Jacques Bair;
Piotr Błaszczyk;
Elías Fuentes Guillén;
Peter Heinig;
Vladimir Kanovei;
Mikhail G. Katz;
(2020)
Continuity Between Cauchy and Bolzano: Issues of Antecedents and Priority
(/isis/citation/CBB925230600/)
Article
Petrova, Svetlana S.;
(2008)
Cauchy et le calcul symbolique
(/isis/citation/CBB001021145/)
Article
Frisch, Uriel;
Villone, Barbara;
(2014)
Cauchy's Almost Forgotten Lagrangian Formulation of the Euler Equation for 3D Incompressible Flow
(/isis/citation/CBB001451853/)
Article
Meo, M.;
(2004)
The Mathematical Life of Cauchy's Group Theorem
(/isis/citation/CBB000410846/)
Book
Cauchy, Augustin-Louis;
Pérez Fernández, F. Javier;
Díaz Moreno, José M.;
(1998)
Cours d'analyse de l'Ecole Royale Polytechnique
(/isis/citation/CBB000530050/)
Article
Grattan-Guinness, Ivor;
(2008)
Differential Equations and Linearity in the 19th and Early 20th Centuries
(/isis/citation/CBB001021149/)
Article
Borovik, Alexandre;
Katz, Mikhail G.;
(2012)
Who Gave You the Cauchy-Weierstrass Tale? The Dual History of Rigorous Calculus
(/isis/citation/CBB001252708/)
Article
Reich, Karin;
(2003)
Cauchy und Gauß. Cauchy's Rezeption im Umfeld von Gauß
(/isis/citation/CBB000340519/)
Article
Boucard, Jenny;
(2013)
Cyclotomie et formes quadratiques dans l'œuvre arithmétique d'Augustin-Louis Cauchy (1829--1840)
(/isis/citation/CBB001253129/)
Article
Phili, Christine;
(2008)
Réflexions d'un provincial sur la métaphysique du calcul des infiniment petits
(/isis/citation/CBB001021146/)
Article
Bråting, Kajsa;
(2012)
Ambiguities of Fundamental Concepts in Mathematical Analysis during the Mid-Nineteenth Century
(/isis/citation/CBB001252710/)
Article
Schubring, Gert;
(2003)
E. H. Dirksens Beiträge zu den Grundlagen der Analysis: Menso Folkerts zum 60. Geburtstag gewidmet
(/isis/citation/CBB000501750/)
Article
Katz, Karin U.;
Katz, Mikhail G.;
(2011)
Cauchy's Continuum
(/isis/citation/CBB001036063/)
Article
Delcourt, Jean;
(2011)
Analyse et géométrie, histoire des courbes gauches De Clairaut à Darboux
(/isis/citation/CBB001034291/)
Article
Lubet, Jean-Pierre;
(2010)
Calcul symbolique et calcul intégral de Lagrange à Cauchy
(/isis/citation/CBB001033635/)
Article
Barany, Michael J.;
(2011)
God, King, and Geometry: Revisiting the Introduction to Cauchy's Cours d'analyse
(/isis/citation/CBB001036223/)
Article
Boucard, Jenny;
(2013)
Cyclotomie et formes quadratiques dans l'œuvre arithmétique d'Augustin-Louis Cauchy (1829--1840)
(/isis/citation/CBB001211763/)
Article
Nakane, Michiyo;
(2014)
Did Weierstrass's Differential Calculus Have a Limit-Avoiding Character? His Definition of a Limit in ε -- δ Style
(/isis/citation/CBB001420035/)
Article
Sørensen, Henrik Kragh;
(2005)
Exceptions and Counterexamples: Understanding Abel's Comment on Cauchy's Theorem
(/isis/citation/CBB000771350/)
Be the first to comment!