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which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold.
In this fascinating history of the mathematics department at the University of California, Berkeley, Moore describes how this institution evolved from a single facutly member at a financially-troubled private college into a major research center that is ranked among the very best in the USA and in the world.
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