Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) . With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate.D
| Title | : | Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) |
| Author | : | |
| Rating | : | 4.95 (540 Votes) |
| Asin | : | 0387906134 |
| Format Type | : | Hardcover |
| Number of Pages | : | 338 Pages |
| Publish Date | : | 1995-04-21 |
| Genre | : |
Developed from a first-year 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 Cech-de 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 self-study and as a one-semester course in topology.
Editorial : “Bott and Tu give us an introduction to algebraic topology via differential forms, imbued with the spirit of a master who knew differential forms way back when, yet written from a mature point of view which draws together the separate paths traversed by de Rham theory and homotopy theory. Indeed they assume "an audience with prior exposure to algebraic or differential topology". It would be interesting to use Bott and Tu as the text for a first graduate course in algebraic topology; it would certainly be a wonderful supplement to a standard text. “Bott and Tu write with a consistent point of view and a style which is very readable, flowing smoothly from topic to topic. Moreover, the differential forms and the general homotopy theory are well integrated so that the whole is more than the sum of its parts. "Not intended to be foundational", the book presents most key ideas, at least in sketch form, from scratch, but does not hesitate to quote as needed, without proof
I've been known to tell people that I can't interact during the last 50 pages and they need to come back later. Dated but a classic. (Subtract this star if you believe romance novels are not -real- literature, and you believe The Da Vinci Code is. But judging by her own book, the similarities are just as striking. Silly, huh?
Mr. The Helios don't have fated mates and Sion doesn't handle learning he is Rya's well. I couldn't reconcile the importance of he events in storyteller Kvothe's world and the purpose of young Kvothe's life. A must read for citizens that want real information and not political spin.. A widow, now free to accompany her brother to Egypt, she is in her element until her brother is kidnapped. As the vehicles get newer, there is less & less repair information available since newer vehicles are considered "owner non-repairable". I tried so much to love - or even LIKE - Kvothe but I couldn't. Came as promised to me. It was exactly what I needed for my classas
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