Advances On Tensor Analysis And Their Applications

Author : Francisco Bulnes
Publisher : BoD – Books on Demand
Page : 142 pages
File Size : 51,7 Mb
Release : 2020-09-09
Category : Mathematics
ISBN : 9781839625558

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Advances on Tensor Analysis and their Applications by Francisco Bulnes Pdf

This book brings together recent advances in tensor analysis and studies of its invariants such as twistors, spinors, kinematic tensors and others belonging to tensor algebras with extended structures to Lie algebras, Kac-Moody algebras, and enveloping algebras, among others. Chapters cover such topics as classical tensors and bilinear forms, tensors for exploring space–time, tensor applications in geometry and continuum media, and advanced topics in tensor analysis such as invariant theory, derived categories, hypercohomologies, k-modules, extensions of kinematic tensors, infinite dimensional operators, and more.

Author : Aleksandr Ivanovich Borisenko,Ivan Evgen?evich Tarapov
Publisher : Courier Corporation
Page : 292 pages
File Size : 41,7 Mb
Release : 1968-01-01
Category : Mathematics
ISBN : 0486638332

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Vector and Tensor Analysis with Applications by Aleksandr Ivanovich Borisenko,Ivan Evgen?evich Tarapov Pdf

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.

Author : Mikhail Itskov
Publisher : Springer
Page : 290 pages
File Size : 50,7 Mb
Release : 2015-03-25
Category : Science
ISBN : 9783319163420

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Tensor Algebra and Tensor Analysis for Engineers by Mikhail Itskov Pdf

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.

Author : Liqun Qi,Haibin Chen,Yannan Chen
Publisher : Springer
Page : 329 pages
File Size : 41,6 Mb
Release : 2018-03-30
Category : Mathematics
ISBN : 9789811080586

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Tensor Eigenvalues and Their Applications by Liqun Qi,Haibin Chen,Yannan Chen Pdf

This book offers an introduction to applications prompted by tensor analysis, especially by the spectral tensor theory developed in recent years. It covers applications of tensor eigenvalues in multilinear systems, exponential data fitting, tensor complementarity problems, and tensor eigenvalue complementarity problems. It also addresses higher-order diffusion tensor imaging, third-order symmetric and traceless tensors in liquid crystals, piezoelectric tensors, strong ellipticity for elasticity tensors, and higher-order tensors in quantum physics. This book is a valuable reference resource for researchers and graduate students who are interested in applications of tensor eigenvalues.

Author : Ralph Abraham,Jerrold E. Marsden,Tudor Ratiu
Publisher : Springer Science & Business Media
Page : 666 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210290

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Manifolds, Tensor Analysis, and Applications by Ralph Abraham,Jerrold E. Marsden,Tudor Ratiu Pdf

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.

Author : Ilya L. Shapiro
Publisher : Springer Nature
Page : 324 pages
File Size : 42,7 Mb
Release : 2019-08-30
Category : Science
ISBN : 9783030268954

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A Primer in Tensor Analysis and Relativity by Ilya L. Shapiro Pdf

This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.

Author : Pavel Grinfeld
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 42,5 Mb
Release : 2013-09-24
Category : Mathematics
ISBN : 9781461478676

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Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Pavel Grinfeld Pdf

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.

Author : Louis Brand
Publisher : Courier Dover Publications
Page : 465 pages
File Size : 53,7 Mb
Release : 2020-04-15
Category : Mathematics
ISBN : 9780486842837

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Vector and Tensor Analysis by Louis Brand Pdf

An outstanding introduction to tensor analysis for physics and engineering students, this text admirably covers the expected topics in a careful step-by-step manor. In addition to the standard vector analysis of Gibbs, including dyadic or tensors of valence two, the treatment also supplies an introduction to the algebra of motors. The entire theory is illustrated by many significant applications. Surface geometry and hydrodynamics are treated at length in separate chapters. Nearly all of the important results are formulated as theorems, in which the essential conditions are explicitly stated. Each chapter concludes with a selection of problems that develop students' technical skills and introduce new and important applications. The material may be adapted for short courses in either vector analysis or tensor analysis.

Author : Santiago Aja-Fernández,Rodrigo de Luis Garcia,Dacheng Tao,Xuelong Li
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 47,7 Mb
Release : 2009-05-21
Category : Computers
ISBN : 9781848822993

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Tensors in Image Processing and Computer Vision by Santiago Aja-Fernández,Rodrigo de Luis Garcia,Dacheng Tao,Xuelong Li Pdf

Tensor signal processing is an emerging field with important applications to computer vision and image processing. This book presents the state of the art in this new branch of signal processing, offering a great deal of research and discussions by leading experts in the area. The wide-ranging volume offers an overview into cutting-edge research into the newest tensor processing techniques and their application to different domains related to computer vision and image processing. This comprehensive text will prove to be an invaluable reference and resource for researchers, practitioners and advanced students working in the area of computer vision and image processing.

Author : Zhang, David,Song, Fengxi,Xu, Yong,Liang, Zhizhen
Publisher : IGI Global
Page : 384 pages
File Size : 53,8 Mb
Release : 2009-01-31
Category : Education
ISBN : 9781605662015

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Advanced Pattern Recognition Technologies with Applications to Biometrics by Zhang, David,Song, Fengxi,Xu, Yong,Liang, Zhizhen Pdf

"This book focuses on two kinds of advanced biometric recognition technologies, biometric data discrimination and multi-biometrics"--Provided by publisher.

Author : A. I. Borisenko,I. E. Tarapov
Publisher : Courier Corporation
Page : 288 pages
File Size : 50,5 Mb
Release : 2012-08-28
Category : Mathematics
ISBN : 9780486131900

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Vector and Tensor Analysis with Applications by A. I. Borisenko,I. E. Tarapov Pdf

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.

Author : Matthew S Smith
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 2012-03-01
Category : Electronic
ISBN : 1258259699

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Principles and Applications of Tensor Analysis by Matthew S Smith Pdf

Author : Arif Salimov
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 45,5 Mb
Release : 2013
Category : Tensor algebra
ISBN : 1622570219

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Tensor Operators and Their Applications by Arif Salimov Pdf

The notion of derivation of tensor fields is one of the central concepts and tools of mathematics. The author believes that differential geometric applications of tensor operators is a very fruitful research domain and provides many new problems in the study of modern differential geometry. This book is intended to provide a systematic introduction to the theory of tensor operators. This book is suitable for researchers, and will complement the Mathematics Research Developments Series, which will focus on research-level monographs. This book will also serve as a useful classroom resource for graduate students as well as final year undergraduate students on geometry, algebra, topology and physics.

Author : Albert Joseph McConnell
Publisher : Unknown
Page : 358 pages
File Size : 43,8 Mb
Release : 1957
Category : Calculus of tensors
ISBN : UOM:39015057152251

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Application of Tensor Analysis by Albert Joseph McConnell Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,9 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814464505

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Tensor Analysis with Applications in Mechanics by Anonim Pdf