Differential Geometry & Relativity Theory: An Introduction:

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Closely affiliated are Igor Krichever (integrable models and algebraic geometry), Andrei Okounkov (representation theory), and Ioannis Karatzas (probability and stochastic DE’s). Geometry and topology are important not just in their own right, but as tools for solving many different kinds of mathematical problems. We thereby ascertain the first situation, their total otherness, unless we take the unit of measurement into account. This lecture summarizes the basic topics of the course, the unique point of view of the lecturer, and then heads straight into a survey of classical curves, starting with the line, then the conic sections (ellipse, parabola, hyperbola), then moving to classical ways of generating new curves from old ones.

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Publisher: CRC Press (January 28, 2001)


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