Treść książki
Przejdź do opcji czytnikaPrzejdź do nawigacjiPrzejdź do informacjiPrzejdź do stopki
ChapterVI
TheArabMiddleAges•Euclid3sparallelpostulate:mistakesandprogress•
SingularfeaturesofthephilosophyofnatureoftheArabEast.
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ChapterVII
TheEuropeanMiddleAges•Disputesaboutthestructureofthecontinuum
•OresmeandtheCalculatorsontheintensityofchanges•The1:3:
5:7:…sequence•Thetheoryofimpetus•Quiesmedia•Theballistics
ofAlbertofSaxonyandofTartaglia•Galileo•Supplements
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ChapterVIII
Themethodofindivisibles•Threewaysofcomputingtheareaofacircle•Kepler:
theprincipleoffieldsandabarrel•TheCavalieri3sprinciple•TheRobervalcycloid
•Needweexplainitbyundivisibles?•Towardsmagicthinking•Descartes
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ChapterIX
Calculus•Derivativeofxn•Barrow3sobservationasmotivationforthiscomputation
•TheroleoftheCalculators•Theimpetumtheoryasmotivation•Philosophiae
NaturalisPrincipiaMathematicaandthetheoryoffluxions•Leibniz•Voltaireon
Newton•Hypothesesnonfingo?.
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ChapterX
Euler•Acenturyofcomputationsandundisturbedprogress•Discussionon
thetermofarbitraryfunction•Thenumbere•Infinitesimalsandinfinities
•Lagrange3sobjection•Barriersofgrowth.
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ChapterXI
Adebtredeemed•Thebeginningofthenewanalysis:CauchyandBolzano•
Weierstrass•Thearithmetizationofanalysis•Cantor•TheroleofDedekind•Set
theorydidnotcomeintobeingaccidentally•Nothingisevercompletelysettled
Epilogue
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Author3sreminiscences.
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