I'd like to know if there are other old books of the same level of the classic and well-known books like Apostol, Courant, Spivak and Hardy.
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1what about Marsden? – janmarqz Jun 22 '16 at 03:06
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archive.org has a lot of old books on many topics – Chip Jun 22 '16 at 03:14
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Does anyone know Lipman Bers ? I didn't find enough information about it. – danilocn94 Jun 22 '16 at 03:17
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A newish book using old (but good) ideas: A Primer of Infinitesimal Analysis, John Bell. – Jun 22 '16 at 03:47
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Edmund Landau wrote a revered book, Differential and Integral Calculus, published by AMS. – symplectomorphic Jun 22 '16 at 04:31
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A list of such books appears in the accepted answer to Joseph Kitchen's Calculus (reference). By the way, there's another book I've been meaning to add to this list but had forgotten. I'll add it in a couple of hours or so, when I get the chance. Others are welcome to add such books, but please make sure they are really honors level texts and not just some book you happen to have and like. – Dave L. Renfro Jun 23 '16 at 15:40
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@DaveL.Renfro, Keisler is perfectly rigorous and in that sense also honors. – Mikhail Katz Jun 23 '16 at 16:13
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Is it true that Landau's book on differential and integral calculus does not have a single illustration? – matqkks Sep 12 '18 at 09:15
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One of the best classics is Calculus Made Easy by Silvanus Phillips Thompson. It is a book on infinitesimal calculus originally published in 1910.
Mikhail Katz
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I wouldn't classify this book as of the same level of . . . I would put Thompson's book in the same category as Commonsense of the Calculus by George William Brewster (1923) AND Elementary Illustrations of the Differential and Integral Calculus by Augustus De Morgan (1899) AND Differential Calculus for Beginners by Alexander Knox (1884). – Dave L. Renfro Jun 23 '16 at 15:56
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Well the OP did not explain what he means by level exactly. Are you interested in encouraging him to clarify? @DaveL.Renfro – Mikhail Katz Jun 23 '16 at 15:59
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I assumed from "Apostol, Courant, Spivak and Hardy" that very high level elementary calculus texts were being asked for, since these are the authors of the best known such books. (Best known here at least. Each of their texts is the main topic for quite a few math stackexchange questions.) – Dave L. Renfro Jun 23 '16 at 16:10
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Hardy seems like a very old one that does not really fit into that scheme. – Mikhail Katz Jun 23 '16 at 16:12
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I agree, Hardy's book doesn't quite fit with the others, although it often gets grouped with the others in math stackexchange (and also in sci.math, before stackexchange came about). – Dave L. Renfro Jun 23 '16 at 16:26