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

By J. M. Landsberg

imperative difficulties in desktop technological know-how 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 large useful and theoretical significance. Algebraic geometry and illustration concept supply fertile floor for advancing paintings on those difficulties and others in complexity. This creation to algebraic complexity idea for graduate scholars and researchers in machine technological know-how and arithmetic beneficial properties concrete examples that display the applying of geometric strategies to genuine international difficulties. Written via a famous specialist within the box, it deals a variety of open inquiries to encourage destiny examine. Complexity idea has rejuvenated classical geometric questions and taken diverse parts of arithmetic jointly in new methods. This ebook will express the gorgeous, attention-grabbing, and significant questions that experience arisen as a result.

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