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This text, for a first course in differential or modern geometry, introduces methods within a historical context that is familiar to students from high school. The thoroughly revised second edition has been reorganized for greater clarity and includes numerous new exercises and topics such as Euclid's geometry of space.
This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. At the same time, it exposes the foundations in an accessible manner, starting from informal calculations to give the novice a familiarity with the range of applications possible with spectral sequences.
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