
Preface  Preview Material  Table of Contents  Supplementary Material 
Graduate Studies in Mathematics 2012; 439 pp; hardcover Volume: 128 ISBN10: 0821869078 ISBN13: 9780821869079 List Price: US$74 Member Price: US$59.20 Order Code: GSM/128 See also: Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems  Thomas A Ivey and J M Landsberg  Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, Gvarieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the AlexanderHirschowitz theorem and of the WeymanKempf method for computing syzygies. Readership Graduate students and research mathematicians interested in tensors; researchers in the sciences and geometry. 


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