Algebraic Geometry

Download E-books Lobachevsky Geometry and Modern Nonlinear Problems PDF

By Andrey Popov

This monograph offers the elemental techniques of hyperbolic Lobachevsky geometry and their attainable functions to trendy nonlinear utilized difficulties in arithmetic and physics, summarizing the findings of approximately the final hundred years. The principal sections disguise the classical construction blocks of hyperbolic Lobachevsky geometry, pseudo round surfaces conception, web geometrical investigative ideas of nonlinear differential equations in partial derivatives, and their purposes to the research of the actual types. because the sine-Gordon equation looks to have profound “geometrical roots” and diverse functions to trendy nonlinear difficulties, it truly is handled as a common “object” of research, connecting a few of the difficulties mentioned.

The objective of this ebook is to shape a common geometrical view at the diverse difficulties of contemporary arithmetic, physics and traditional technological know-how mostly within the context of non-Euclidean hyperbolic geometry.

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