Differential Forms in Algebraic TopologyDeveloped from a firstyear graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cechde Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for selfstudy and as a onesemester course in topology. 
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Review: Differential Forms in Algebraic Topology
User Review  Steve Dalton  GoodreadsSuperb. The material is presented in the clearest and cleanest way possible, with certain examples brought up again and again to drive home important points. And the treatment of spectral sequences is ... Read full review
Review: Differential Forms in Algebraic Topology
User Review  ᓴᕊ ᐸᑫᑎᐣ  GoodreadsKevin Spacey is Keyser Soze Read full review