This two-volume e-book collects the lectures given throughout the 3 months cycle of lectures held in Northern Italy among may well and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It provides a wide-ranging assessment of a few of the main energetic components of up to date learn in mathematics algebraic geometry, with designated emphasis at the geometric purposes of thep-adic analytic ideas originating in Dwork's paintings, their connection to numerous fresh cohomology theories and to modular types. the 2 volumes include either vital new examine and illuminating survey articles written by means of major specialists within the box. The publication willprovide an fundamental source for all these wishing to method the frontiers of analysis in mathematics algebraic geometry.
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In accordance with a direction given to proficient high-school scholars at Ohio college in 1988, this publication is basically a complicated undergraduate textbook concerning the arithmetic of fractal geometry. It well bridges the space among conventional books on topology/analysis and extra really good treatises on fractal geometry.
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