Book ID: CBB001251208

Cauchy's Cours D'analyse: An Annotated Translation (2009)

unapi

Cauchy, Augustin Louis (Author)
Bradleya, Robert E. (Author)
Sandifer, Charles Edward (Author)


Springer


Publication Date: 2009
Physical Details: xx + 411 pp.; ill.; bibl.; index
Language: English

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.

...More
Reviewed By

Review Jahnke, Hans Niels (2012) Review of "Cauchy's Cours D'analyse: An Annotated Translation". Historia Mathematica (pp. 467-469). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB001251208/

Similar Citations

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 Phili, Christine; (2008)
Réflexions d'un provincial sur la métaphysique du calcul des infiniment petits (/isis/citation/CBB001021146/)

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 Sørensen, Henrik Kragh; (2005)
Exceptions and Counterexamples: Understanding Abel's Comment on Cauchy's Theorem (/isis/citation/CBB000771350/)

Authors & Contributors
Katz, Mikhail G.
Boucard, Jenny
Bair, Jacques
Heinig, Peter
Guillén, Elías Fuentes
Villone, Barbara
Concepts
Mathematics
Calculus
Mathematical analysis
Algebra
Number theory; number concept
Arithmetic
Time Periods
19th century
20th century
18th century
20th century, early
Places
France
Sweden
Italy
Institutions
École Polytechnique, Paris
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment