无穷小微积分教材历经50年之久的读者使用鉴定书
无穷小微积分教材历经50年之久的读者使用鉴定书
2012年2月15日，世界知名数学家Jerome Keisler教教授于1969年开
精心撰写的（公理化）无穷小微积分教材的最新版本又一次出版了。
实际情况是：该无穷小微积分教材在世界范围内获得读者的广泛好评与肯定（相当于读者使用鉴定书，请见本文附）。
党的十八大之后，从2012年11月开始，根据世界广大读者对此教材的实际评价，我们果断采取“无穷小放飞互联网”行动，在国内大力倡导与科普无穷小微积分的基础知识至今。
注：该教材电子版可从“无穷小微积分”专业网站自由、合法下载使用
袁萌 陈启清 6月18日
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Elementary Calculus: An Infinitesimal Approach
by H. Jerome Keisler
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This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. ...more
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Published February 15th 2012 by Dover Publications (first published 1976)
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Jan 27, 2016
Janez Perme rated it
it was amazing
• review of another edition
Recommends it for: Beginner in calculus
Recommended to Janez by: physicsforums.com and partially Amazon reviews
Shelves: calculus
It is a definitely a good book for a beginner in calculus. It shows certain elementary stuff, that one just needs to know, before diving deep into mathematical analysis. I wouldn't say that it is the only resource for calculus that one should own, but it definitely gets you going. If I would be a true beginner in math, I would start with this one. If you are planning to read this piece, by all means, do it slowly and unconditionally understand every step you make. Mind you: there are some proofs ...more
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Apr 10, 2012
Daniel Lyons rated it
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Tremendous! If you have struggled with Calculus because it seemed so unintuitive, try this book. The infinitesimal approach is much more intuitive and, as we now know, just as expressive and powerful as the limit approach. This is the first calculus book I've found that I've been able to self-study and make progress with.
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Aug 14, 2018
Gavin Rebeiro rated it
it was amazing
Shelves: mathematics
I've been looking for a calculus book taking the infinitesimal approach, written by a mathematician with contributions to the field, and with applied examples (necessary for any calculus education). This book fits the bill perfectly.
Limits are a notoriously difficult concept for a student new to doing mathematics. Infinitesimals allow students studying a first calculus course with a more approachable understanding of basic ideas of calculus. The wonder of the infinitesimal approach is that with ...more
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Aug 08, 2012
Muhammad al-Khwarizmi rated it
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The infinitesimal-based approach is different but, in my opinion, not superior. It's just another way of looking at things. This is a pretty solid text for those who want a more theoretical introduction to calculus. If you want a scientist's or engineer's perspective on the topic (i.e. applied calculus but still with a decent understanding of what you are doing), I recommend looking into a decent engineering mathematics book.
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