Concepts from Tensor Analysis and Differential Geometry

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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 by Tracy Y Thomas

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

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

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

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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.

Plastic Flow and Fracture in Solids by Tracy Y Thomas

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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; 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

Differential Geometry and the Calculus of Variations by Robert Hermann

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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

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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 Calculus for Engineers and Physicists

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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

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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

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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.

Functional Analysis and Time Optimal Control

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Publisher : Academic Press
ISBN 13 : 0080955657
Total Pages : 149 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Functional Analysis and Time Optimal Control by : Hermes

Download or read book Functional Analysis and Time Optimal Control written by Hermes and published by Academic Press. This book was released on 1969 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis and Time Optimal Control

Algebraic Linguistics; Analytical Models by Solomon Marcus

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Publisher : Elsevier
ISBN 13 : 0080955363
Total Pages : 269 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Algebraic Linguistics; Analytical Models by Solomon Marcus by :

Download or read book Algebraic Linguistics; Analytical Models by Solomon Marcus written by and published by Elsevier. This book was released on 1966-01-01 with total page 269 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

Function Theoretic Methods in Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 0080955622
Total Pages : 335 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Function Theoretic Methods in Partial Differential Equations by : Gilbert

Download or read book Function Theoretic Methods in Partial Differential Equations written by Gilbert and published by Academic Press. This book was released on 1969 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function Theoretic Methods in Partial Differential Equations

Nonlinear Ordinary Differential Equations in Transport Processes

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Publisher : Academic Press
ISBN 13 : 0080955509
Total Pages : 282 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Nonlinear Ordinary Differential Equations in Transport Processes by : W. F. Ames

Download or read book Nonlinear Ordinary Differential Equations in Transport Processes written by W. F. Ames and published by Academic Press. This book was released on 1968 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Ordinary Differential Equations in Transport Processes

Introduction to Operations Research

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Publisher : Academic Press
ISBN 13 : 008095555X
Total Pages : 317 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Introduction to Operations Research by : Faure

Download or read book Introduction to Operations Research written by Faure and published by Academic Press. This book was released on 1968 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Operations Research

Convex Structures and Economic Theory

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Publisher : Elsevier
ISBN 13 : 1483266680
Total Pages : 422 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Convex Structures and Economic Theory by : Hukukane Nikaido

Download or read book Convex Structures and Economic Theory written by Hukukane Nikaido and published by Elsevier. This book was released on 2016-06-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter. This volume includes examples of problems pertaining to interesting static and dynamic phenomena in linear and nonlinear economic systems, as well as models initiated by Leontief, von Neumann, and Walras. The topics covered are the mathematical theorems on convexity, simple multisector linear systems, balanced growth in nonlinear systems, and efficient allocation and growth. The working of Walrasian competitive economies, special features of competitive economies, and Jacobian matrix and global univalence are also covered. This publication is suitable for advanced students of mathematical economics and related fields, but is also beneficial for anyone who wishes to become familiar with the basic ideas, methods, and results in the mathematical treatment in economic theory through a detailed exposition of a number of typical representative problems.

Variational Methods in Optimum Control Theory

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Publisher : Academic Press
ISBN 13 : 0080955533
Total Pages : 231 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Variational Methods in Optimum Control Theory by : Petrov

Download or read book Variational Methods in Optimum Control Theory written by Petrov and published by Academic Press. This book was released on 1968 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods in Optimum Control Theory

Network Flow, Transportation, and Scheduling; Theory and Algorithms

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Publisher : Academic Press
ISBN 13 : 0080955665
Total Pages : 333 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Network Flow, Transportation, and Scheduling; Theory and Algorithms by : Masao

Download or read book Network Flow, Transportation, and Scheduling; Theory and Algorithms written by Masao and published by Academic Press. This book was released on 2011-10-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network Flow, Transportation, and Scheduling; Theory and Algorithms