Calculus, An Intuitive and Physical Approach

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…ften graphical, understanding of the problem before attacking the rigorous view. (There is a good textbook from 1977 that was reprinted by Dover in 1998, Morris Kline's "Calculus: An Intuitive and Physical Approach", that I wish I had available when I was studying.)

Apostol's Calculus texts (2 volumes) are the best with the supporting theory. I'm more from an engineering perspective, for readers looking for a book from that direction is Kline's "Calculus: An Intuitive and Physical Approach". Introductory general biology texts have a lot more variation in how the material is presented, but have to cover such an incredible amount of facts that there is actually less effective difference. Some biology texts tend to be more ecologically oriented (Campbell), where others are more cellular and chemically oriented (Curtis), but the difference tends to get lost somewhat with the need to cover everything, and the sheer mass of material each HAS to cover. You might try Pauling's "General Chemistry" text for a more theoretical treatment in chemistry. Both Kline's calculus and Pauling's chemistry texts were from…

There's an author Morris Kline who wrote a number of fairly useful books on mathematics. Particularly worth mentioning are Mathematics for the Nonmathematician and Calculus: An Intuitive and Physical Approach. The former traces through the history of mathematics and places each of the math discoveries in their proper context. The latter covers most of the topics covered in the first couple calculus classes. What makes Kline's approach valuable is how he grounds the abstract math topics in practical examples and in ways making them more accessible than your typical textbooks.