Contemporary Aspects of Complex Analysis, Differential

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Language: English

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It is closely related with differential topology and with the geometric aspects of the theory of differential equations. There seem to be a few books on the market that are very similar to this one: Nash & Sen, Frankel, etc. While signal processing is a natural fit, topology, differential and algebraic geometry aren’t exactly areas you associate with data science. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (1972) NY: Wiley.

Pages: 360

Publisher: World Scientific Pub Co Inc (July 30, 2005)

ISBN: 9812563903

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The approach to geometric problems with geometric or mechanical means is known as synthetic geometry. Already Pythagoreans considered the role of numbers in geometry. However, the discovery of incommensurable lengths, which contradicted their philosophical views, made them abandon (abstract) numbers in favour of (concrete) geometric quantities, such as length and area of figures. Numbers were reintroduced into geometry in the form of coordinates by Descartes, who realized that the study of geometric shapes can be facilitated by their algebraic representation , e.g. ElementaryDifferential Geometry 2nd Second edition byO'Neill download online. In the Middle Ages new and more complicated questions of this type were considered: What is the maximum number of spheres simultaneously touching a given sphere of the same radius ( kissing number problem)? What is the densest packing of spheres of equal size in space ( Kepler conjecture)? Most of these questions involved 'rigid' geometrical shapes, such as lines or spheres , e.g. Surveys in Differential download pdf Surveys in Differential Geometry, Vol..

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