Download e-book for kindle: Geometry and Complexity Theory (Cambridge Studies in by J. M. Landsberg

By J. M. Landsberg

crucial difficulties in machine technology are P vs NP and the complexity of matrix multiplication. the 1st can be a number one candidate for the best unsolved challenge in arithmetic. the second one is of huge functional and theoretical significance. Algebraic geometry and illustration concept 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 desktop technological know-how and arithmetic positive factors concrete examples that exhibit the appliance of geometric innovations to actual international difficulties. Written by means of a famous specialist within the box, it deals quite a few open inquiries to inspire destiny study. Complexity idea has rejuvenated classical geometric questions and taken assorted components of arithmetic jointly in new methods. This publication will express the attractive, attention-grabbing, and demanding questions that experience arisen as a result.

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