This is a very general kind of derivative. I read the Lovelock and Rund book, especially the appendix part of it. This is a very esoteric subject. But it is widely used in theoretic physics. This book has a very good motivation and derivation of all the characteristics of the Lie derivative. This information has never been come across in many other books about the same topic in Frankel’s book, Flander’s book, and many others that I had come across. This is the most accessible. However, the notation is kind of out of style. The numbering system of equations is also confusing. There are many repeating number in each chapter. There is a lack of more clearer numbering system to referring equation with same number in different chapter, otherwise, one can not tell which equation in which chapter the author is referring to.
The approach of explaining the subject is very profound. The author goes through all the pains to explain the required information that lead to the last section of the appendix. This is a good and honest way to do thing.
The information is not too overwhelming or too sparing. It is just about right for me.
The more one read about the Lie derivative, the more one get confused if one only bases all the information from Wikipedia page. This is a place that one looks for quick reference that refreshing one memory. But it is not a good place to learn anything from scratch. This is not the intention of the Wikipedia page any way.
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