8/17/2023 0 Comments Good calculus textbook![]() Apostol Calculus – Volume 1 and Calculus, Volume 2.Īs readers of the blog know, I’ve read these two volumes cover to cover and have done every exercise.One last upside to this book is that if you’re looking for the best calculus textbook for self study this is a great choice since Spivak authored a solutions manual to accompany this edition and the previous edition. The other downside is that there are no applications of calculus at all. (Spivak did write a follow up, Analysis on Manifolds, but it never felt quite like a true multi-variable calculus book to me, and I didn’t love it overall). The two major drawbacks to Spivak’s text are that it only covers single variable calculus so you’ll have to find another book for multi-variable. It will clear up the misconceptions you learned in a first calculus class, and prepare you for undergraduate real analysis. I think the other calculus books are great (and a better choice for other types of students), but if you’re just starting out in abstract, rigorous proof-based mathematics, this is the way to go. More than the others on this list, this book is fun, inspiring, and gives a sense of how to enjoy doing mathematics. If you are an enthusiastic high school student or an honors track freshman math major, this is the book I would absolutely recommend. This is a great book for single-variable calculus. Of course, some students could jump straight to these with no problem. Most people will get more benefit from these as a second course in calculus than as a first exposure to the subject. ![]() ![]() All of the books on this list are great, and if you read anyone of them you’ll really understand calculus.
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