Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) Review

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Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) ReviewThis book is almost unique among mathematics books in that it strives to ensure that you have the clearest picture possible of the topics under discussion. For example almost every text that discusses spectral sequences introduces them as a completely abstract machine that pumps out theorems in a mysterious way. But it turns out that all those maps actually have a clear meaning and Bott and Tu get right in there with clear diagrams showing exactly what those maps mean and where the generators of the various groups get mapped. It's clear enough that you can almost reach out and touch the things :-) And the same is true of all of the other constructions in the book - you always have a concrete example in mind with which to test out your understanding.
That makes this one of my all time favourite mathematics texts.Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) Overview

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