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221028  eng 
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a 0444868976

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a 9780444868978

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a 9780080872049

050 

4 
a QA565

100 
1 

a Engelsman, Steven B.

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0 
0 
a Families of curves and the origins of partial differentiation
c Steven B. Engelsman

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a Amsterdam
b NorthHolland
c 1984, 1984

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a ix, 238 pages
b illustrations

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a Includes bibliographical references (pages 227238)

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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.

653 


a Differential equations, Partial / History / Sources

653 


a Calcul différentiel / Histoire / Sources

653 


a Curves, Algebraic / History / Sources

653 


a MATHEMATICS / Differential Equations / General / bisacsh

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a Partielle Differentiation / gnd / http://dnb.info/gnd/44641771

653 


a Differential equations, Partial / fast / (OCoLC)fst00893484

653 


a Partielle Differentialgleichung / gnd / http://dnb.info/gnd/40447790

653 


a Équations aux dérivées partielles / Histoire / Sources

653 


a Analysis / gnd / http://dnb.info/gnd/40018659

653 


a Curves, Algebraic / fast / (OCoLC)fst00885451

653 


a Differential calculus / History / Sources

653 


a Differential calculus / fast / (OCoLC)fst00893441

653 


a Courbes algébriques / Histoire / Sources

653 


a Partial differential equations

653 


a Funktion / Mathematik / gnd / http://dnb.info/gnd/40715103

041 
0 
7 
a eng
2 ISO 6392

989 


b ZDB1ELC
a Elsevier eBook collection Mathematics

490 
0 

a NorthHolland mathematics studies

015 


a GB8500773

776 


z 9780080872049

776 


z 0080872042

856 
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0 
u https://www.sciencedirect.com/science/bookseries/03040208/93
x Verlag
3 Volltext

082 
0 

a 515.3/3

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a 515.3/53

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a This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 16901740. 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
