<p>Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections.</p>

Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)

Science & Math

Landsberg, J. M.

Ivey, Thomas A.

Mathematics

Amer Mathematical Society

<p>Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.</p>

Geometry and Complexity Theory (Cambridge Studies in Advanced Mathematics, Series Number 169)

Computers & Technology

Cambridge University Press

Quantum Computation And Quantum Information

Providence, Rhode Island : American Mathematical Society

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Books by Landsberg, J. M.