Tensors : geometry and applications
 Author/Creator
 Landsberg, J. M.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2012.
 Physical description
 xx, 439 p. : ill. ; 26 cm.
 Series
 Graduate studies in mathematics ; v. 128.
Access
Available online

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QA199.5 .L36 2012

Unknown
QA199.5 .L36 2012
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 415432) and index.
 Publisher's Summary
 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, $\mathbf{P}$ versus $\mathbf{NP}$, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, $G$varieties, 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.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2012
 Responsibility
 J.M. Landsberg.
 Series
 Graduate studies in mathematics ; v. 128
 ISBN
 0821869078 (alk. paper)
 9780821869079 (alk. paper)