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.

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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
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Authors & Contributors
Katz, Mikhail G.
Boucard, Jenny
Spalt, Detlef D.
Reich, Karin
Meo, M.
Schubring, Gert
Journals
Archive for History of Exact Sciences
Historia Mathematica
Archives Internationales d'Histoire des Sciences
Foundations of Science
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Revue d'Histoire des Mathématiques
Publishers
Sociedad Andaluza de Educación Matemática THALES
Concepts
Mathematics
Calculus
Algebra
Mathematical analysis
Geometry
Textbooks
People
Cauchy, Augustin Louis
Lagrange, Joseph Louis
Weierstrass, Karl Theodor
Gauss, Carl Friedrich
Dirksen, Eeno Heeren
Abel, Niels Henrik
Time Periods
19th century
20th century
18th century
20th century, early
Places
France
Italy
Sweden
Institutions
École Polytechnique, Paris
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