- Series: Dover Books on Mathematics
- Paperback: 526 pages
- Publisher: Dover Publications; Revised ed. edition (December 14, 2011)
- Language: English
- ISBN-10: 0486438716
- ISBN-13: 978-0486438719
- Product Dimensions: 6.4 x 1.1 x 9.2 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 3 customer reviews
- Amazon Best Sellers Rank: #538,467 in Books (See Top 100 in Books)
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Applied Exterior Calculus (Dover Books on Mathematics) Paperback – November 16, 2011
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That said, there are some drawbacks to the text.
1. He doesn't always mention some of the standard terminology normally used for the objects he creates. For instance, the word "tangent bundle" is never used, he instead uses different words for the equivalent idea. Not a big deal, but one should probably consult other texts to check the words normally used.
2. He works ONLY in Euclidean space or subsets thereof, where of course the del operators form a GLOBAL basis for the tangent bundle instead of the more common case where one works on a manifold and has only local coordinate charts available. Thus, although the reader sees tensor tranformation laws, s/he does not see a definition of a general tensor or Christoffel symbols. This shouldn't be a huge drawback since the case on manifolds is only an extension of this case and so the book is a great introduction to more advanced settings.
He also keeps track of when concepts can be extended to larger algebraic settings than the cases at hand. Great book!