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Aug 02, Adam Lantos rated it it was amazing. The emphasis is on intuition but the author does not shy away from advanced concepts. The many diagrams and graphs have practical reasons to be there as they help with understanding. The examples that are given in order to motivate the reader do a great job at it. There are also some proofs whenever the proof is not very big. There are also proofs when the proof directly helps with the understanding. The writing style is also great, mixing a formal type of writing with a more conversational style.
You can find this book at a very low price and it's also hardcover! It is of great use to physicists and mathematicians in order to REALLY understand and reinforce your intuition behind these concepts. Also, the author states in the preface that the Feynman Lectures were a great influence due to the way that Feynman explained everything!
So, this is a strong indication of an author trying and succeeding to write a book on mathematics using that very powerful way of thinking and explaining. Two things that I did not like were: 1 The higher dimension derivative is just motivated through the Taylor series of many variables. But, I expected more from this book.
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I mean, a student coming from only a one-variable calculus background would feel a bit overwhelmed while trying to figure out why the derivative in more dimensions is a matrix and why it is the way it is! I figured it out, but I only did so by hard thinking and referencing other books like Colley's books and Hubbard's book. But, again, I have skipped some chapters, so I am not very sure that the author did not explain the derivative in higher dimensions.
Sure, no other book explains the geometrical meaning of the chain rule, but this book promises to give the geometrical meaning behind everything that it presents. But, again, these points can't make me give this book anything less than a 5-star rating because it's so unique, helpful and well-written. Any book that concentrates on intuition and motivation without sacrificing essential things is a king in pedagogy.
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