Families of curves and the origins of partial differentiation /

This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. T...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Engelsman, Steven B. (Steven Boudewijn)
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984.
Series:North-Holland mathematics studies ; 93.
Subjects:
Geschichte.
Curves, Algebraic > History > Sources.
Differential calculus > History > Sources.
Differential equations, Partial > History > Sources.
Courbes alg�ebriques > Histoire > Sources.
Calcul diff�erentiel > Histoire > Sources.
�Equations aux d�eriv�ees partielles > Histoire > Sources.
MATHEMATICS > Differential Equations > General.
Curves, Algebraic
Differential calculus
Differential equations, Partial
Partielle Differentiation
Analysis
Funktion > Mathematik
Partielle Differentialgleichung
Partial differential equations
History
Sources
Online Access:Texto completo
Texto completo
Texto completo
Table of Contents:
  • APPENDIX 1: NICOLAUS I BERNOULLI'S "DEMONSTRATIO ANALYTICA CONSTRUCTIONIS CURVARUM, QUAE ALIAS POSITIONE DATAS AD ANGULOS RECTOS SECANT, TRADITAE IN ACTIS LIPS. 1719 PAG 295 ET SEQQ."APPENDIX 2 : LEONHARD EULER'S "DE DIFFERENTIATIONE FUNCTIONUM DUAS PLURESVE VARIABILES QUANTITATES INVOLVENTIUM"; APPENDIX 3: NEWTON'S RULE FOR THE RADIUS OF CURVATURE OF MAY 21ST, 1665; BIBLIOGRAPHY.

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