Algebraical and Topological Foundations of Geometry: by Hans Freudenthal PDF

By Hans Freudenthal

ISBN-10: 0080096107

ISBN-13: 9780080096100

Algebraical and Topological Foundations of Geometry comprises the complaints of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers overview the algebraical and topological foundations of geometry and canopy subject matters starting from the geometric algebra of the Möbius aircraft to the idea of parallels with functions to closed geodesies. teams of homeomorphisms and topological descriptive planes also are discussed.

Comprised of 26 chapters, this publication introduces the reader to the speculation of parallels with functions to closed geodesies; teams of homeomorphisms; complemented modular lattices; and topological descriptive planes. next chapters specialize in collineation teams; unprecedented algebras and unprecedented teams; the relationship among algebra and buildings with ruler and compasses; and using differential geometry and analytic crew conception tools in foundations of geometry. Von Staudt projectivities of Moufang planes also are thought of, and an axiomatic remedy of polar geometry is presented.

This monograph should be of curiosity to scholars of mathematics.

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Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959 by Hans Freudenthal

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