I'm interested in the history of calculus & analysis and looking for books that examine in some detail the history of writings on these subjects, mainly the history of the 17th-century "Treatise of Fluxions" to the 19th-c. "Cours d' Analyse".
Which works were significant and why? Which works, now forgotten, can still be useful in the understanding of the revolutionary rise of infinitesimal analysis?
Personal favorites would be welcome too. Any suggestions?
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1$\begingroup$ Start from books on history of the calculus : Kline, Boyer, Edward $\endgroup$– Mauro ALLEGRANZASep 18 '18 at 8:12
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1$\begingroup$ Then move to modern editions of textbooks : l'Hopital, Cauchy. $\endgroup$– Mauro ALLEGRANZASep 18 '18 at 8:15
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$\begingroup$ Mawhin, Jean, The Cours d’analyse infinitésimale of Charles-Jean de La Vallée Poussin: from innovation to tradition, Jahresber. Dtsch. Math.-Ver. 116, No. 4, 243-259 (2014). ZBL1316.01010. $\endgroup$– Francois ZieglerSep 18 '18 at 12:51
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$\begingroup$ If you can read german I recommend Spalt, Die Analysis im Wandel und im Widerstreit $\endgroup$– Michael BächtoldSep 18 '18 at 15:46
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1$\begingroup$ Boyer's History of the Calculus and Its Conceptual Development (freely available) is a standard reference for this. $\endgroup$– ConifoldSep 18 '18 at 20:22
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