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Mémoire sur les intégrales définies [AND] Mémoire sur la theorie de la propagation des ondes a la surface d'un fluide pesant, in: Mémoires présentées par divers Savans a l'Académie Royale des Sciences de l'Institut de France, Tome I

Mémoire sur les intégrales définies [AND] Mémoire sur la theorie de la propagation des ondes a la surface d'un fluide pesant, in: Mémoires présentées par divers Savans a l'Académie Royale des Sciences de l'Institut de France, Tome I

Mémoire sur les intégrales définies [AND] Mémoire sur la theorie de la
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Mémoire sur les intégrales définies [AND] Mémoire sur la theorie de la propagation des ondes a la surface d'un fluide pesant, in: Mémoires présentées par divers Savans a l'Académie Royale des Sciences de l'Institut de France, Tome I

by CAUCHY, Augustin-Louis

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About This Item

First edition, a rare copy in original state, of Cauchy's great memoir on the theory of functions of a complex variable (pp. 599-799), submitted to the Académie des Sciences on 22 August 1814 but not published until 1827. "In 1814 he submitted to the French Academy the treatise on definite integrals that was to become the basis of the theory of complex functions" (DSB). "Between 1814 and 1831, the great French mathematician A. L. Cauchy created pratically single-handedly a new branch of pure mathematics. Complex function theory was and remains of central importance, and its creation marked the start of one of the most exciting periods in the development of mathematics" (Smithies, Cauchy and the Creation of Complex Function Theory, 1997). "In his introduction to the 1814 memoir, Cauchy remarks that the solution of many problems reduces to the evaluation of definite integrals, many curious and useful results having been obtained by Euler, Laplace and Legendre. Some of the evaluations of integrals by Euler and Laplace were, he says, first discovered by a kind of induction based on a passage from real to imaginary" (ibid., p. 24). Cauchy then states his intention to put this passage from the real to the imaginary on a rigorous basis. The memoir is divided into two parts devoted, respectively, to results equivalent to special cases of 'Cauchy's theorem' and to the 'residue theorem,' which he did not state in general form until 1831. Before the 1814 memoir was ultimately published in 1827, Cauchy adjoined a group of footnotes to it; these seem to date from about 1825. Their main thrust is that he abandons his earlier rule only to consider integrals with real integrands. He remarks that throughout the memoir many pairs of real equations can be replaced by a single complex equation. This volume of the Mémoires also contains Cauchy's 'Theory of the propagation of waves on the surface of a heavy fluid of indefinite depth' (pp. 6-312) which won him the Grand Prize offered by the Academy in 1816. "His results are now classics in hydrodynamics" (DSB). 4to, pp. [viii, including half-title and initial blank used as pastedown], 799, uncut and unopened. Original paper wrappers (slightly worn with spine partly defective at head and foot). Now protected and housed in a cloth clamshell box.

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Details

Bookseller
Reginald C. Williams Rare Books US (US)
Bookseller's Inventory #
249
Title
Mémoire sur les intégrales définies [AND] Mémoire sur la theorie de la propagation des ondes a la surface d'un fluide pesant, in: Mémoires présentées par divers Savans a l'Académie Royale des Sciences de l'Institut de France, Tome I
Author
CAUCHY, Augustin-Louis
Format/Binding
Wrappers
Book Condition
Used - Very Good
Quantity Available
1
Edition
1st
Binding
Paperback
Publisher
Académie des Sciences
Place of Publication
Paris
Date Published
1827
Size
large quarto
Weight
0.00 lbs
Keywords
Mathematics, Logic, Philosophy

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Reginald C. Williams Rare Books

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About Reginald C. Williams Rare Books

Reginald C. Williams Rare Books LLC, specializes in books from the 16th through 20th century. We stock many books in the field of literature, Western philosophy, Greek classics, the history of ideas, Medicine & Science & fine sets. We are always looking to purchase individual books in our areas of interest.

Glossary

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Cloth
"Cloth-bound" generally refers to a hardcover book with cloth covering the outside of the book covers. The cloth is stretched...
Clamshell Box
A protective box designed for storing and preserving a bound book or loose sheets. A clamshell box is hinged on one side, with...
New
A new book is a book previously not circulated to a buyer. Although a new book is typically free of any faults or defects, "new"...
Wrappers
The paper covering on the outside of a paperback. Also see the entry for pictorial wraps, color illustrated coverings for...
Spine
The outer portion of a book which covers the actual binding. The spine usually faces outward when a book is placed on a shelf....
Unopened
A state in which all or some of the pages of a book have not been separated from the adjacent pages, caused by a traditional...

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