Newton leibniz

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2. 1. ,Jason Socrates Bardi, .2. : ,Antonio J. Durn, 4.3. ,Jacques Hadamard, .4. Leibniz, .5. Calculus Leibniz Newton,http://en.wikipedia.org6. Calculus History, http://www.gap-system.org/~history/HistTopics/The_rise_of_calculus.html7. ,http://www.thalesandfriends.org8. Notation for Differentiation,http://www.maths.manchester.ac.uk/~cds/articles/derivative.pdf 3. ; ; ; () . ; 4. ( ) 5. , . 6. f ( x + h) f ( x )f ( x) = limh 0h . f ( x) dx = F ( ) F ( ) 7. . / . ; ; 8. 9. 10. 11. ) : 17 ; (408 355 ..) (287 212 ..) 12. OK. DONTDISTURB MY INTEGRAL. 13. ) : 17 ; - Mdhava (1350 1425) 14. ) : 17 ; Nicole Oresme(1320 1382) 15. :) 17 ; Bonaventura Cavalieri (1598 1647) 16. :) 17 ; - Pierre de Fermat (1601 1665) 17. :) 17 ; John Wallis Isaac BarrowJames Gregory(1616 1703)(1630 1677)(1638 1675) 18. Oresme Fermat 19. 17 Gregory Wallis Huigens BarrowHudde KeplerFermatPascal RobervalTorricelli Cavalieri 20. !!! , . . 21. 1646 - 1716 1642 1727 22. . 23. (Characteristica Universalis) , . , . 24. 16871662Principia Newton 25. ! . 26. Anni mirabiles (1665 1667) 27. Anni mirabiles (1665) (1665 1667) Gregory Slusse . , , . Newton . William Blake, 1795 ewton 172731 1665: 13 1665: .16 1666: . 1666: 28. (*), ! (1669, 1711)(1671, 1736) 29. * 21 : .17 : ( ) .Collins Newton Barrow 30. , . 31. best-seller ! 32. . R. Hooke(1635 1703) 33. WallisHuigensCavallieri SlusseLeibniz Pascal Descartes 34. 3 (1672 1674) The Battle of Texel, 1121 August 1673 Willem van de Velde, 1683 1673 1676: A) B) 35. : Hooke R. Hooke (1635 1703) (1674) 36. 29 11 1675 , . J.E. Hofmann 37. 29 1675omn.ll11 No 1675 x y dx d 38. 29 11 1675 d ( xy ) = dx dy y dy !d = x dx 39. Hannover1677: , .1680: . 40. 1684 1686 41. 13 1676: Epistola prior .! .17 1676: .! . 42. 43. 24 1676: Epistola posterior , . . 6accdoe13eff7i319n4o4qrr4s8t12ux , , .12 1677: . 44. , 1686 , , . () 1687Principia , . 45. 1695: Wallis Leibniz.[] 1699: ( ) 1687. [] Leibniz ! [] Leibniz, Fatio , . 46. O 1704: (De Quadratura)O () , Honoratus Fabrius, Synopsis Geometrica, Cavalieri . 47. 1709: (Leibniz) , . [] J. Keill . Keill prior posterior 1676. 48. O Kell [] (Fatio), , . . 49. Commercium Epistolicum . ( ) , . . Keill, , . . 50. ... Charta Volans ccount . 51. = : . 19 . , , . 52. : . : , .Rupert Hall, . 53. ;) ) ) ) 54. 55. 27 2012 : , , , , , , , : ; + http://leshianagnosiskomotinis.blogspot.com/