Calculus Review

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Calculus ReviewStewart's calculus textbook is a relatively standard development of basic calculus. It is readable with many examples and pictures to aid understanding. It is not a "rigorous" development in the strict (i.e. real analysis) sense - you'll need a supplementary textbook if you want to crack that egg. It does, however, provide students with the ability to solve problems using calculus that they will likely encounter in later courses.
It is not without drawbacks, however. My primary complaint is that while I worked through the later chapters for the first time I was unsure why I was doing what I was. In particular, the chapters on vectors were rather poorly done - they seemed developed enough just to get students through the problem sets. On the other hand, anybody wishing to seriously learn vector calculus will likely have an entire book devoted to the topic.
My only other complaint is the development of differential equations. I understand the purpose of including them in the textbook (they're used in many fields), but you really can't cover much about differential equations in the small chapters devoted to them. Like I said, I understand why the author included the sections, but after learning differential equations properly, I do not feel like those chapters in this textbook served any useful purpose.
Due to the widespread usage of this textbook, it is inevitable that some struggling students (and mathematicians!) will dislike it. If you happen to be a struggling student, check out "Calculus: An Intuitive and Physical Approach" by Morris Kline. It is very cheap, thorough, and will undoubtedly make for an excellent study aid.Calculus Overview

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