Geometry and Complexity Theory (Cambridge Studies in by J. M. Landsberg

By J. M. Landsberg

valuable difficulties in desktop technology are P vs NP and the complexity of matrix multiplication. the 1st is additionally a number one candidate for the best unsolved challenge in arithmetic. the second one is of large functional and theoretical value. Algebraic geometry and illustration thought supply fertile floor for advancing paintings on those difficulties and others in complexity. This advent to algebraic complexity concept for graduate scholars and researchers in machine technological know-how and arithmetic positive aspects concrete examples that reveal the applying of geometric options to genuine international difficulties. Written via a famous specialist within the box, it bargains quite a few open inquiries to encourage destiny examine. Complexity thought has rejuvenated classical geometric questions and taken assorted parts of arithmetic jointly in new methods. This booklet will exhibit the gorgeous, fascinating, and demanding questions that experience arisen as a result.

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