Concepts From Tensor Analysis And Differential Geometry By Tracy Y Thomas

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Concepts from Tensor Analysis and Differential Geometry by Tracy Y Thomas

Author :
Publisher : Elsevier
ISBN 13 : 0080957781
Total Pages : 129 pages
Book Rating : 4.0/5 (89 download)

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Download or read book Concepts from Tensor Analysis and Differential Geometry by Tracy Y Thomas written by and published by Elsevier. This book was released on 2000-04-01 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Concepts from Tensor Analysis and Differential Geometry

Author : Tracy Yerkes Thomas
Publisher :
ISBN 13 : 9781258786854
Total Pages : 126 pages
Book Rating : 4.7/5 (868 download)

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Book Synopsis Concepts from Tensor Analysis and Differential Geometry by : Tracy Yerkes Thomas

Download or read book Concepts from Tensor Analysis and Differential Geometry written by Tracy Yerkes Thomas and published by . This book was released on 2013-08 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concepts from Tensor Analysis and Differential Geometry

Author : Tracy Y. Thomas
Publisher : Elsevier
ISBN 13 : 1483263711
Total Pages : 128 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Concepts from Tensor Analysis and Differential Geometry by : Tracy Y. Thomas

Download or read book Concepts from Tensor Analysis and Differential Geometry written by Tracy Y. Thomas and published by Elsevier. This book was released on 2016-06-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

Concepts from Tensor Analysis and Differential Geometry

Author : Tracy Yerkes Thomas
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis Concepts from Tensor Analysis and Differential Geometry by : Tracy Yerkes Thomas

Download or read book Concepts from Tensor Analysis and Differential Geometry written by Tracy Yerkes Thomas and published by . This book was released on 1965 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concepts from Tensor Analysis and Differential Geometry ... Second Edition

Author : Tracy Yerkes THOMAS
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (53 download)

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Book Synopsis Concepts from Tensor Analysis and Differential Geometry ... Second Edition by : Tracy Yerkes THOMAS

Download or read book Concepts from Tensor Analysis and Differential Geometry ... Second Edition written by Tracy Yerkes THOMAS and published by . This book was released on 1965 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor Analysis and Differential Geometry

Author :
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Tensor Analysis and Differential Geometry by :

Download or read book Tensor Analysis and Differential Geometry written by and published by . This book was released on 1961 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on tensor analysis and differential geometry

Author : Walther Mayer
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Lectures on tensor analysis and differential geometry by : Walther Mayer

Download or read book Lectures on tensor analysis and differential geometry written by Walther Mayer and published by . This book was released on 1936 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Tensor Analysis and Differential Geometry

Author : Walther Mayer
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Lectures on Tensor Analysis and Differential Geometry by : Walther Mayer

Download or read book Lectures on Tensor Analysis and Differential Geometry written by Walther Mayer and published by . This book was released on 1936 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concepts from Tensor Analysis and Differential Geometry

Author : Charles Louis Kuhn
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)

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Book Synopsis Concepts from Tensor Analysis and Differential Geometry by : Charles Louis Kuhn

Download or read book Concepts from Tensor Analysis and Differential Geometry written by Charles Louis Kuhn and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

Author : Hung Nguyen-Schäfer
Publisher : Springer
ISBN 13 : 3662484978
Total Pages : 389 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers by : Hung Nguyen-Schäfer

Download or read book Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers written by Hung Nguyen-Schäfer and published by Springer. This book was released on 2016-08-16 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.

Plastic Flow and Fracture in Solids by Tracy Y Thomas

Author :
Publisher : Elsevier
ISBN 13 : 0080955118
Total Pages : 279 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Plastic Flow and Fracture in Solids by Tracy Y Thomas by :

Download or read book Plastic Flow and Fracture in Solids by Tracy Y Thomas written by and published by Elsevier. This book was released on 1961-01-01 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Differential Geometry and the Calculus of Variations by Robert Hermann

Author :
Publisher : Elsevier
ISBN 13 : 0080955576
Total Pages : 455 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential Geometry and the Calculus of Variations by Robert Hermann by :

Download or read book Differential Geometry and the Calculus of Variations by Robert Hermann written by and published by Elsevier. This book was released on 2000-04-01 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Introduction to Vector and Tensor Analysis

Author : Robert C. Wrede
Publisher : Courier Corporation
ISBN 13 : 0486137112
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Vector and Tensor Analysis by : Robert C. Wrede

Download or read book Introduction to Vector and Tensor Analysis written by Robert C. Wrede and published by Courier Corporation. This book was released on 2013-01-30 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines 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.

Tensor Analysis and Its Applications

Author : Quddus Khan
Publisher : Partridge Publishing
ISBN 13 : 1482850680
Total Pages : 215 pages
Book Rating : 4.4/5 (828 download)

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Book Synopsis Tensor Analysis and Its Applications by : Quddus Khan

Download or read book Tensor Analysis and Its Applications written by Quddus Khan and published by Partridge Publishing. This book was released on 2015-08-27 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a textbook for undergraduate and postgraduate students of mathematics. It will be useful to the researchers working in the field of differential geometry and its applications to general theory of relativity and other applied areas. It will also be helpful in preparing for the competitive examinations like IAS, IES, NET, PCS, and other higher education tests. The text starts with the basic concepts and results, which shall refer throughout this book and is followed by the study of the tensor algebra and its calculus, consisting the notion of tensor, its operations, and its different types; Christoffels symbols and its properties, the concept of covariant differentiation of tensors and its properties, tensor form of gradient, divergence, laplacian and curl, divergence of a tensor, intrinsic derivatives, and parallel displacement of vectors, Riemanns symbols and its properties, and application of tensor in different areas.

Tensor Calculus for Engineers and Physicists

Author : Emil de Souza Sánchez Filho
Publisher : Springer
ISBN 13 : 331931520X
Total Pages : 370 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Tensor Calculus for Engineers and Physicists by : Emil de Souza Sánchez Filho

Download or read book Tensor Calculus for Engineers and Physicists written by Emil de Souza Sánchez Filho and published by Springer. This book was released on 2016-05-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

Differential and Integral Inequalities: Theory and Applications

Author : V. Lakshmikantham
Publisher : Academic Press
ISBN 13 : 0080955630
Total Pages : 405 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential and Integral Inequalities: Theory and Applications by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Theory and Applications written by V. Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.

Comparison and Oscillation Theory of Linear Differential Equations

Author : C. A. Swanson
Publisher : Elsevier
ISBN 13 : 1483266672
Total Pages : 238 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Comparison and Oscillation Theory of Linear Differential Equations by : C. A. Swanson

Download or read book Comparison and Oscillation Theory of Linear Differential Equations written by C. A. Swanson and published by Elsevier. This book was released on 2016-06-03 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.