Henry McKean,Victor Moll's Elliptic Curves: Function Theory, Geometry, Arithmetic PDF

By Henry McKean,Victor Moll

the topic of elliptic curves is among the jewels of nineteenth-century arithmetic, originated by means of Abel, Gauss, Jacobi, and Legendre. This 1997 publication offers an introductory account of the topic within the kind of the unique discoverers, with references to and reviews approximately more moderen and glossy advancements. It combines 3 of the basic topics of arithmetic: complicated functionality thought, geometry, and mathematics. After an off-the-cuff preparatory bankruptcy, the publication follows an old direction, starting with the paintings of Abel and Gauss on elliptic integrals and elliptic features. this can be by means of chapters on theta features, modular teams and modular capabilities, the quintic, the imaginary quadratic box, and on elliptic curves. Requiring just a first acquaintance with advanced functionality idea, this ebook is a perfect advent to the topic for graduate scholars and researchers in arithmetic and physics, with many workouts with tricks scattered in the course of the text.

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Elliptic Curves: Function Theory, Geometry, Arithmetic (Cambridge Tracts in Mathematics (Hardcover)) by Henry McKean,Victor Moll


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