Curves and Singularities: A Geometrical Introduction to

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Language: English

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By reducing relations difficult to state and prove geometrically to algebraic relations between coordinates (usually rectangular) of points on curves, Descartes brought about the union of algebra and geometry that gave birth to the calculus. The module algebraic topology is independent of the two preceding modules and therefore can be chosen by all students in the master programme. Symmetry in classical Euclidean geometry is represented by congruences and rigid motions, whereas in projective geometry an analogous role is played by collineations, geometric transformations that take straight lines into straight lines.

Pages: 340

Publisher: Cambridge University Press; 2 edition (January 29, 1993)

ISBN: 0521429994

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