Topics in Differential Geometry
نویسنده
چکیده
In less than two pages (pp. 54–55) the Campbell-Baker-Hausdorff formula is taken care of, in a proof containing exactly forty-eight English words: the rest is algebraic manipulation. For some of us, myself included, this is an exposition devoutly-to-be-wished; for the complementary set of readers it’s something a lot less than palatable. So, given that Peter W. Michor’s Topics in Differential Geometry generally evinces such a style, a caveat is in order: one reads the book prepared to follow many a development carefully computing alongside the author. This is not to say that the book is void of exposition and discussion; on the contrary, it is very well written and all the required prose is there. But Michor doesn’t mince words and the book takes off quickly, climbs to a good altitude right away, and stays there. As I already indicated, however, I like this style very much and find the book remarkably effective.
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