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.
Pris: kr 649.00 fra Norli
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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern¿Weil theory...
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Provides a treatment of algebraic topology that reflects the enormous internal developments within the field and retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the...
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Introduces the first concepts of Algebraic Topology, such as general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory, in detail. The text has been designed for undergraduate and beginning...
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