![]() ![]() I even read, with some small level of understanding, the sections on complex analysis and the explanation of Dedekind cuts. I read the whole book, making my way far beyond what we had covered in class by that point. this was calculus as an intellectual adventure, deep, compelling, and beautiful. (There are lots of very hard problems instructors will be glad that there is an answer book.) But Spivak's account of what Calculus is all about, his careful but precise account of the theoretical underpinnings of the material, his chapter on the "hard theorems" (the ones that require an understanding of the completeness of the reals), his pictures, even his asides. OK, I'll admit that I wasn't doing all - or even most - of the problems. I remembered the name, bought the book, took it home, and set to reading it. It was definitely in soft covers, perhaps an edition for sale in third world markets. But the name stuck in my head.Ī couple of months into the course, I was trolling the aisles of my favorite bookstore, and saw there a copy of the book. I didn't buy a copy, because I was fairly happy with the notes and with the books I already had. The references were a variety of books that our professors felt could be consulted with profit. The notes, prepared by one of the teachers, were small booklets (probably mimeographed - remember that?). At that time, we didn't use a textbook instead, we used references, and we used notes. I first studied calculus during my first year at the University of São Paulo, in Brazil. Got that? If any of you want to champion some other book, you're itching for a fight. This is the best Calculus textbook ever written. OK, boys and girls, listen up, because I'm only going to say it once:
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