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Author: A. I. Borisenko
Publisher: Courier Corporation
Published: 2012-08-28
Total Pages: 292
ISBN-13: 0486131904
DOWNLOAD EBOOKConcise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Author: Hongyu Guo
Publisher: World Scientific
Published: 2021-06-16
Total Pages: 246
ISBN-13: 9811241031
DOWNLOAD EBOOKTensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.
Author: Wolfgang Hackbusch
Publisher: Springer Nature
Published: 2019-12-16
Total Pages: 622
ISBN-13: 3030355543
DOWNLOAD EBOOKSpecial numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.
Author: Dwight E. Neuenschwander
Publisher: JHU Press
Published: 2015
Total Pages: 244
ISBN-13: 142141564X
DOWNLOAD EBOOKIt is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author: Richard L. Bishop
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 290
ISBN-13: 0486139239
DOWNLOAD EBOOKDIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
Author: David Lovelock
Publisher: Courier Corporation
Published: 2012-04-20
Total Pages: 402
ISBN-13: 048613198X
DOWNLOAD EBOOKIncisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Author: Robert C. Wrede
Publisher: Courier Corporation
Published: 2013-01-30
Total Pages: 436
ISBN-13: 0486137112
DOWNLOAD EBOOKExamines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Author: Peter McCullagh
Publisher: Courier Dover Publications
Published: 2018-07-18
Total Pages: 308
ISBN-13: 0486832694
DOWNLOAD EBOOKA pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.
Author: J. M. Landsberg
Publisher: American Mathematical Soc.
Published: 2011-12-14
Total Pages: 464
ISBN-13: 0821869078
DOWNLOAD EBOOKTensors 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, 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 Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.
Author: Anadi Jiban Das
Publisher: Springer Science & Business Media
Published: 2007-10-05
Total Pages: 300
ISBN-13: 0387694692
DOWNLOAD EBOOKHere is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.
