Also a good amount of computational examples with figures. It has proofs and uses linear algebra quite a bit which you may find cool or interesting. Vector Calculus by Susan Colley is pretty good. Of course, many ideas are also developed similarly across several books, but it can also be good to see that there's a consensus in how that idea is thought about. It's sort of like how historians might want to consider multiple sources to get a bigger picture of a historical event. When you see two different perspectives on the same concept, it sheds much more light on it than any single book can do on its own. It can be a great exercise to have a couple of different books on hand, and look at how they each develop the same idea. Stewart and Sullivan/Miranda were both sort of in the middle and not particularly strong in either respect because of that. His development relied more on an abstract handling of the concepts to get to new ideas, which is probably more rigorous but imo harder to actually picture. I can't remember the details, but I definitely liked the description he used to actually visualize what it is that we're studying and why it is relevant to the bigger picture. I believe it was specifically when I got up to Curl that I decided to stick with that book for the rest of the course. I eventually found myself favoring Thomas as well just because I found those explanations the most intuitive. At various times, I would look through all four to see how certain ideas were covered, and it was pretty interesting to see that by this point in the books, some of them really split off in different directions in terms of how they discuss the material and even how it's sequenced. I had four books at my disposal- Stewart, Sullivan/Miranda, Larson, and Thomas. ![]() I taught multivariable calculus for the first time a couple of years ago after not having really looked at that material in about a decade.
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