John Oprea - Böcker

Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been writ...

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Nature tries to minimize the surface area of a soap film through the action of surface tension. A mathematical story of the process can be told through differential geometry, complex analysis, and the calculus of variations. The Maple applications...

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Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is ...

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Graph-theoretic concepts are developed by computer scientists in order to model algorithms, nets, rewriting systems, distributed systems, parallelism, geometric and layout concepts. Their complexity is studied under various randomness assumptions....

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This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimul...

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