Category «Geometry And Topology»

Download Geometry and quantum physics by Gausterer H., Grosse H., Pittner L. (eds.) PDF

By Gausterer H., Grosse H., Pittner L. (eds.)

In glossy mathematical physics, classical including quantum, geometrical and useful analytic tools are used at the same time. Non-commutative geometry particularly is changing into a great tool in quantum box theories. This ebook, aimed toward complex scholars and researchers, presents an advent to those rules. Researchers will gain relatively from the huge survey articles on versions on the subject of quantum gravity, string conception, and non-commutative geometry, in addition to Connes' method of the traditional version.

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Download Differential Geometry. Proc. conf. Lyngby, 1985 by Vagn Lundsgaard Hansen PDF

By Vagn Lundsgaard Hansen

The Nordic summer time college 1985 offered to younger researchers the mathematical facets of the continuing learn stemming from the research of box theories in physics and the differential geometry of fibre bundles in arithmetic. the quantity comprises papers, frequently with unique strains of assault, on twistor tools for harmonic maps, the differential geometric elements of Yang-Mills thought, advanced differential geometry, metric differential geometry and partial differential equations in differential geometry. lots of the papers are of lasting worth and supply an excellent advent to their topic.

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Download Elementary Geometry of Algebraic Curves: An Undergraduate by Jamal T. Manassah PDF

By Jamal T. Manassah

This is an creation to aircraft algebraic curves from a geometrical point of view, designed as a primary textual content for undergraduates in arithmetic, or for postgraduate and study staff within the engineering and actual sciences. The booklet is definitely illustrated and includes a number of hundred labored examples and workouts. From the normal strains and conics of effortless geometry the reader proceeds to normal curves within the actual affine airplane, with tours to extra common fields to demonstrate functions, corresponding to quantity conception. by way of including issues at infinity the affine airplane is prolonged to the projective aircraft, yielding a average atmosphere for curves and supplying a flood of illumination into the underlying geometry. A minimum quantity of algebra results in the recognized theorem of Bezout, whereas the information of linear platforms are used to debate the classical crew constitution at the cubic.

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