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However, the discovery of incommensurable lengths, which contradicted their philosophical views, made them abandon (abstract) numbers in favor of (concrete) geometric quantities, such as length and area of figures. Geometry facilitates the solution of problems from other fields since its principles are applicable to other disciplines. It has to do with elliptic partial differential operators on a compact manifold. This branch of geometric research in Berlin is described in more detail in the research area Geometry, topology, and visualization.

Pages: 280

Publisher: Princeton University Press (April 19, 1999)

ISBN: 0691005141

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