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In addition to this current volume 1965, he is also well known for his introductory but rigorous textbook calculus 1967, 4th ed. Michael spivak brandeis university calculus on manifolds a modern approach to classical theorems of advanced calculus addisonwesley publishing company the advanced book program reading, massachusetts menlo park, california new york don mills, ontario wokingham, england amsterdam bonn. A modern approach to classical theorems of advanced calculus. A modern approach to classical theorems of advanced calculus by spivak, michael isbn. Spivak chapter 2 exercise 34 solution to exercise 34 from chapter 2 from the textbook calculus on manifolds by.
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