Spivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real ...Show synopsisSpivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real analysis.Hide synopsis
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This text is detailed and imaginative. For example, there is a proof that the log base, e, is trancendental. This is the sort of thing you don't usually find in elementary texts. Every math student should have a copy.
I feel that this textbook is used far less widely than it should be. As a college freshman with three semesters of calculus under my belt, I found this book to be informative and engaging, even though it started back at square one. As the summary states, this book is really more an introduction to the study of analysis, and as such has few computations, a fact which some find disappointing. I personally feel that this isn't a problem, as the concepts behind the computations are so rigorously and elegantly presented and reinforced that computation follows easily, and indeed there are computations scattered throughout the exercises (though not containing numbers... more general cases of derivatives and integrals, etc.). I found a marked improvement in my mathematical abilities through the use of this text, and it even sparked an interest in mathematics as a major.
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