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Analysis on Manifolds

by James R. Munkres

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772350,134 (4)None
A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.
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This book does an excellent job covering its subject matter in great detail. Munkres does not fudge on a single proof; there are no carelessly thrown about phrases that rely on the reader possessing a strong background in the subject (unlike some other math texts I own), and his explanations are as clear as one could hope. Although some might not like his insistence on using the formality of the theory throughout, I greatly appreciate the rigorous and at the same time insightful exposition. ( )
  raydulany | May 8, 2008 |
I wasn't very happy with this book. It turned out to not be very useful for the class I bought it for because it focuses on Euclidean space, and we were interested in normed vector spaces in general. It's drier than necessary and I thought the proofs were very tedious. ( )
  rwturner | Jun 27, 2006 |
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A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.

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