Tensors : geometry and applications
- Providence : American Mathematical Society, 2012
- xx, 439 p. : ill. ; 26 cm.
- Graduate studies in mathematics ; v. 128 .
Includes bibliographical references and index.
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.
9780821869079
Information and communication Circuits Communication Signal theory Detection theory Statistics Distribution theory Characterization and structure theory Algebraic geometry Projective techniques Linear and multilinear algebra Tensor products