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Lectures on Calculus

AuthorEvgeny Shchepin Entered2004-01-09 16:37:16 by Ryanov
Editedit data record FreedomCopyrighted, doesn't cost money to read, but otherwise not free (disclaimer)
SubjectQ.A - Mathematics. Computer science (analysis)
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http://www.math.uu.se/~oleg/ShchepinCalc.html
This link was reported to be OK by user Ben Crowell on 2004-01-11 11:30:26
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Who is going to use this?
by Ben Crowell (crowell09 at stopspam.lightandmatter.com (change 09 to current year)) on 2004-01-26 20:50:34, review #380
http://www.lightandmatter.com
content
typical
writing
substandard

This book is from a set of lectures on calculus given by visiting professor Evgeny Shchepin at Uppsala University in 2001. The first obstacle potential readers will encounter is that the book is provided in PostScript format, with hideous bitmapped type 3 fonts embedded. This makes it virtually impossible to view the book on a monitor in any legible representation, although it looks fine when you print it out. The typical Windows or MacOS user will give up long before that point. This is a shame, because it's not at all difficult these days to get LaTeX to output Adobe Acrobat files that are viewable on virtually any computer, and are legible on the screen. There is no index, and virtually no graphs or other figures.

The main question in my mind is for whom this book was written. This deep, dark forest of mathematical symbols, interspersed with ungrammatical English, is meant to follow the historical development of the subject, but it never makes it clear why the historical route is the right one to follow. There are many seemingly pointless digressions.

Is it possible that this book was meant for young people taking their first calculus course? The presence of end-of-chapter homework problems would seem to imply that it was. If so, I feel sorry for them. Although it's cute that the author manages to develop integrals before limits, and derivatives only at the very end, I somehow doubt that real, live students would read this book and exclaim, "We sure are lucky to be learning calculus using this novel order of topics!" Most of the problems begin with the words "Prove that...," and neither the text nor the problems give any of the standard applications to biology, physics, economics, etc.

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