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Posted by ubpdqn on September 24, 2012

Unknown Blogger Mathematica

I found this book on a list of resources for studying differential geometry.  I was struck by the scope of the table of contents. It was a useful coupling with Visual Complex Analysis.

The authors approach is abstract. The book covers point set topology, manifolds, the first and second fundamental forms, differential forms and ends on some calculus of variations.

The book reinforced some old concepts and it was  useful to see concepts which overlapped with Visual Complex Analysis approached in a different way.

Some terminology was different to what I am used to, e.g. spur for trace of matrix. However, the ideas are clearly explained and explanatory diagrams flow well with the text.

Overall, this was a pleasant surprise  from a serendipitous discovery on an online booklist.

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