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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Engelsman, Steven B. (Steven Boudewijn)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: 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.
Colección:North-Holland mathematics studies ; 93.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Engelsman, Steven B.  |q (Steven Boudewijn) 
245 1 0 |a Families of curves and the origins of partial differentiation /  |c Steven B. Engelsman. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a New York, N.Y., U.S.A. :  |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,  |c 1984. 
300 |a 1 online resource (ix, 238 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a North-Holland mathematics studies ;  |v 93 
520 |a 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. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time. 
504 |a Includes bibliographical references (pages 227-238). 
588 0 |a Print version record. 
505 8 |a 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. 
650 0 |a Curves, Algebraic  |x History  |v Sources. 
650 0 |a Differential calculus  |x History  |v Sources. 
650 0 |a Differential equations, Partial  |x History  |v Sources. 
650 0 |a Curves, Algebraic  |x History  |x Sources. 
650 0 |a Differential calculus  |x History  |x Sources. 
650 0 |a Differential equations, Partial  |x History  |x Sources. 
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650 7 |a Differential calculus  |2 fast  |0 (OCoLC)fst00893441 
650 7 |a Differential equations, Partial  |2 fast  |0 (OCoLC)fst00893484 
650 7 |a Partielle Differentiation  |2 gnd  |0 (DE-588)4464177-1 
650 7 |a Analysis  |2 gnd  |0 (DE-588)4001865-9 
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776 0 8 |i Print version:  |a Engelsman, Steven B. (Steven Boudewijn).  |t Families of curves and the origins of partial differentiation.  |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984  |z 0444868976  |z 9780444868978  |w (DLC) 84004091  |w (OCoLC)10505598 
830 0 |a North-Holland mathematics studies ;  |v 93. 
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