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I am an engineering major. I have taken calc 1-3 and did very well in each course. However, I feel that I did well mostly by learning the tricks and feel that I need a better intuitive understanding of the fundamentals of calculus. I am looking for a book to help me (preferably a cheaper one, not a $100 textbook). I would appreciate some suggestions. Thanks!

Plutoro
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Bailey
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    See this link for single-variable calculus: http://math.stackexchange.com/questions/901622/single-variable-calculus-reference-recommendations – coldnumber Jul 08 '15 at 04:56
  • See if A First Course in Calculus by Lang suits your needs. Used copies aren't too expensive on Amazon. It's more concise than most comparable textbooks. The theory is at a sufficient level of rigour for most of those who want a more in-depth view of calculus, but without using the formal definition of a limit and without proving the more difficult theorems. – Keith Jul 08 '15 at 06:38
  • If you are looking for a Calculus textbook, then Stewart is a pretty good one. You can pick up a used hardcover 5th edition for $6 on amazon. If you aren't taking a class, then there is no need to purchase new textbooks.

    http://www.amazon.com/Calculus-Early-Transcendentals-5th-Edition/dp/B000VTJ2QS

    – Joel Jul 09 '15 at 15:45

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I have referred to Prof. Strang's textbook on Calculus regularly whenever I need a quick refresher. It is heavy on intuition. While there are many books out there on Calculus, the following free ebooks that I stumbled upon recently maintain the right balance between intuition and rigor, in my opinion.

Calculus and Linear Algebra. Vol. 1: Vectors in the Plane and One-Variable Calculus - Wilfred Kaplan and Donald J. Lewis

Calculus and Linear Algebra. Vol. 2: Vector Spaces, Many-Variable Calculus, and Differential Equations - Wilfred Kaplan and Donald J. Lewis