[PDF] Tensors Geometry And Applications eBook

Tensors Geometry And Applications Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Tensors Geometry And Applications book. This book definitely worth reading, it is an incredibly well-written.

Tensors: Geometry and Applications

Author : J. M. Landsberg
Publisher : American Mathematical Soc.
Page : 464 pages
File Size : 39,88 MB
Release : 2011-12-14
Category : Mathematics
ISBN : 0821869078

GET BOOK

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, 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.

Tensors: Geometry and Applications

Author : Joseph M. Landsberg
Publisher : American Mathematical Soc.
Page : pages
File Size : 50,85 MB
Release : 2012
Category : Matrices
ISBN : 9780821884812

GET BOOK

Tensor Geometry

Author : C. T. J. Dodson
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 29,67 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 3642105149

GET BOOK

This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. The emphasis throughout is on the geometry of the mathematics, which is greatly enhanced by the many illustrations presenting figures of three and more dimensions as closely as the book form will allow.

Tensor and Vector Analysis

Author : C. E. Springer
Publisher : Courier Corporation
Page : 258 pages
File Size : 12,86 MB
Release : 2013-09-26
Category : Mathematics
ISBN : 048632091X

GET BOOK

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

Tensors and Riemannian Geometry

Author : Nail H. Ibragimov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 198 pages
File Size : 19,14 MB
Release : 2015-08-31
Category : Mathematics
ISBN : 3110379503

GET BOOK

This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.

Tensor Geometry

Author : C. T. J. Dodson
Publisher : Pitman Publishing
Page : 598 pages
File Size : 33,6 MB
Release : 1979
Category : Calculus of tensors
ISBN : 9780273010401

GET BOOK

Manifolds, Tensor Analysis, and Applications

Author : Ralph Abraham
Publisher : Springer Science & Business Media
Page : 666 pages
File Size : 37,84 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461210291

GET BOOK

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.

Differential Geometry and Tensors

Author : K.K. Dube
Publisher : I. K. International Pvt Ltd
Page : 377 pages
File Size : 30,50 MB
Release : 2013-12-30
Category : Mathematics
ISBN : 9380026587

GET BOOK

The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors. Section A deals with: " Theory of curves, envelopes and developables. " Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature. " Fundamental equations of surface theory. " Geodesics. Section B deals with: " Tensor algebra. " Tensor calculus. " Christoffel symbols and their properties. " Riemann symbols and Einstein space, and their properties. " Physical components of contravariant and covariant vectors. " Geodesics and Parallelism of vectors. " Differentiable manifolds, charts, atlases.

Tensors and Their Applications

Author : Nazrul Islam
Publisher : New Age International
Page : 6 pages
File Size : 39,38 MB
Release : 2006-12
Category : Tensor algebra
ISBN : 8122418384

GET BOOK

The Book Is Written Is In Easy-To-Read Style With Corresponding Examples. The Main Aim Of This Book Is To Precisely Explain The Fundamentals Of Tensors And Their Applications To Mechanics, Elasticity, Theory Of Relativity, Electromagnetic, Riemannian Geometry And Many Other Disciplines Of Science And Engineering, In A Lucid Manner. The Text Has Been Explained Section Wise, Every Concept Has Been Narrated In The Form Of Definition, Examples And Questions Related To The Concept Taught. The Overall Package Of The Book Is Highly Useful And Interesting For The People Associated With The Field.

Vector and Tensor Analysis with Applications

Author : A. I. Borisenko
Publisher : Courier Corporation
Page : 292 pages
File Size : 42,47 MB
Release : 2012-08-28
Category : Mathematics
ISBN : 0486131904

GET BOOK

Concise, 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.