Les intégraphes - La courbe Intégrale et ses applications. Etude sur un nouveau système d'intégrateurs mécaniques
by ABDANK-ABAKANOWICZ, Bruno
- Used
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- Seller
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VILLEFRANCHE DE LAURAGAIS, France
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About This Item
Paris, Gauthier-Villars, 1886. *** Première édition. Envoi autographe signé sur le faux-titre à Hippolyte Fontaine, industiel qui s'associera avec Zénobe Gramme, l'inventeur de la dynamo à courant continu. L'intégraphe est un instrument mécanique permettant de réaliser des intégrations de façon moins fastidieuse qu'en décomposant l'aire sous la courbe en une réunion de figures géométriques simples. Il utilise le principe de construction d'une courbe dont la pente des tangentes est donnée. Couleur du dos passée, mais bon exemplaire. *** In-8 de X, 156 pp. Demi-chagrin vert, dos à nerfs orné (Reliure de l'époque.) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - * First edition. Inscribed copy. "The integraph is a noteworthy development in the history of calculating instruments. While the principle on which it is based was introduced by Coriolis in 1836, it was in 1878 that Abdank-Abakanowitz first developed a practical working model. The integraph is an elaboration and extension of the planimeter, an earlier, simpler instrument used to measure area. It is a mechanical instrument capable of deriving the integral curve corresponding to a given curve. Hence, it is capable of solving graphically a simple differential equation. Sets of partial differential equations are commonly encountered in mathematical physics. Most branches of physics such as aerodynamics, electricity, acoustics, plasma physics, electron-physics and nuclear energy involve complex flows, motions and rates of change which maybe described mathematically by partial differential equations. A well-established example from electromagnetics is the set of partial differential equations known as Maxwell's equations. In practice, differential equations can be difficult to integrate, that is to solve. The integraph is capable of solving only simple differential equations. The need to handle sets of more complex non-linear differential equations, led Vannevar Bush to develop the Differential Analyzer at MIT in the early 1930s. In turn, limitations in speed, capacity and accuracy of the Bush Differential Analyzer provided the impetus for the development of the ENIAC during World War II. Abdank-Abakanowicz's instrument could produce solutions to a commonly encountered class of simple differential equations of the form dy/dx = F(x) so that y = ò F(x)dx. The basic approach was to draw a graph of the function F and then use the pointer on the device to trace the contour of the function. The value of the integral could then be read from the dials. The concept of the instrument was taken up and soon put into production by such well known instrument makers as the Swiss firm of Coradi in Zurich." - -.
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Details
- Bookseller
- Hugues de Latude (FR)
- Bookseller's Inventory #
- 16913
- Title
- Les intégraphes - La courbe Intégrale et ses applications. Etude sur un nouveau système d'intégrateurs mécaniques
- Author
- ABDANK-ABAKANOWICZ, Bruno
- Book Condition
- Used
- Quantity Available
- 1
- Publisher
- Paris, Gauthier-Villars, 1886
- Keywords
- SCIENCES-MATHEMATIQUES-INSTRUMENTS SCIENTIFIQUES--SCIENCE-MATHEMATICS-SCIENTIFIC INSTRUMENTS-livres relies-librairie-livre ancien-livres anciens-antiquarian books-hugues de latude
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Hugues de Latude
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About the Seller
Hugues de Latude
Biblio member since 2021
VILLEFRANCHE DE LAURAGAIS
About Hugues de Latude
I specialize in antiquarian books : early printed books, incunabula, illustrated, science, medecine, natural history... I have been a bookseller since 1988 and I mostly go for books I have never seen.
Glossary
Some terminology that may be used in this description includes:
- Device
- Especially for older books, a printer's device refers to an identifying mark, also sometimes called a printer's mark, on the...
- Inscribed
- When a book is described as being inscribed, it indicates that a short note written by the author or a previous owner has been...
- First Edition
- In book collecting, the first edition is the earliest published form of a book. A book may have more than one first edition in...