Tensor Calculus and Applications, Kalita, Bhaben Chandra (Emeritus Professor, Dept. of Mathematics, Gauhati University, India)
Автор: Hackbusch Название: Tensor Spaces and Numerical Tensor Calculus ISBN: 3642280269 ISBN-13(EAN): 9783642280269 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Нет в наличии.
Описание: Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d 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. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ?
Автор: Kay David, Kay David Название: Schaums Outline of Tensor Calculus, Revised Edition ISBN: 0071756035 ISBN-13(EAN): 9780071756037 Издательство: McGraw-Hill Рейтинг: Цена: 4117.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The ideal review for your tensor calculus course
More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 300 solved problems Coverage of all course fundamentals Effective problem-solving techniques Complements or supplements the major logic textbooks Supports all the major textbooks for tensor calculus courses
Автор: Bhaben Chandra Kalita Название: Tensor Calculus and Applications: Simplified Tools and Techniques ISBN: 0367138069 ISBN-13(EAN): 9780367138066 Издательство: Taylor&Francis Рейтинг: Цена: 25265.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject of Tensors, and can be used in many fields of research. Special applications are discussed in the book, in order to remove any confusion, and for absolute understanding of the subject.
Автор: Hackbusch Wolfgang Название: Tensor Spaces and Numerical Tensor Calculus ISBN: 303035556X ISBN-13(EAN): 9783030355562 Издательство: Springer Цена: 17074.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Special numerical techniques are already needed to deal with n x n matrices for large n. Tensor data are of size n x n x...x n=nd, where nd exceeds the computer memory by far. Since standard methods fail, a particular tensor calculus is needed to treat such problems.
1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.
1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.
Автор: Hackbusch Wolfgang Название: Tensor Spaces and Numerical Tensor Calculus ISBN: 3030355535 ISBN-13(EAN): 9783030355531 Издательство: Springer Рейтинг: Цена: 17074.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Special numerical techniques are already needed to deal with n x n matrices for large n. Tensor data are of size n x n x...x n=nd, where nd exceeds the computer memory by far. Since standard methods fail, a particular tensor calculus is needed to treat such problems.
Автор: de Souza Sбnchez Filho Emil Название: Tensor Calculus for Engineers and Physicists ISBN: 3319810561 ISBN-13(EAN): 9783319810560 Издательство: Springer Рейтинг: Цена: 10976.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Chapter 1. Fundamental Concepts
1.1. Basic Concepts
1.2. N Dimensional Spaces
1.3. Homogeneous and Isotropic Spaces
1.4. Kronecker Delta
1.5. Metric Tensor
1.6. Angle between Curves
1.7. Some Useful Formulas
Chapter 2. Covariant, Absolute and Contravariant Differentiation
2.1. Initial Notes
2.2. Cartesian Tensor Differentiation
2.3. Base Vectors Differentiation
2.4. Christoffel Symbols
2.5. Covariant Differentiation
2.5.1. Contravariant Tensor
2.5.2. Covariant Tensor
2.5.3. Mixed Tensor
2.5.4. Covariant Differentiation: Addition and Product of Tensors
2.5.5. Covariant Differentiation of the Tensors
2.5.6. Particularities of the Covariant Derivative
2.6. Covariant Differentiation of the Relative Tensors
2.7. Intrinsic or Absolute Differentiation
2.8. Contravariant Differentiation
Chapter 3. Integral Theorems
3.1. Initial Concepts
3.2. Green Theorem
3.3. Stokes Theorem
3.4. Gauss-Ostrogadsky Theorem
Chapter 4. Differential Operators
4.1. Scalar, Vectorial and Tensorial Fields
4.2. Gradient
4.3. Divergent
4.4 Curl
4.5. Successive Applications of the Nabla Operator
4.5.1 Basic Relations
4.5.2 Laplace Operator
4.5.3 Other Differential Operators
Chapter 5. Riemann Spaces
5.1. Initial Notes
5.2. Curvature of the Space
5.3. Riemann Curvature
5.4. Ricci Tensor and Scalar Curvature
5.5. Einstein Tensor
5.6. Particular Cases of Riemann Spaces
5.6.1. Riemann Space
5.6.2. Riemann Space with Constant Curvature
5.6.3. Minkowski Space
5.6.4. Conformal Spaces
5.6.4.1. Initial Concepts
5.6.4.2. Christoffel Symbol
5.6.4.3. Riemann-Christoffel Tensor
5.6.4.4. Ricci Tensor
5.6.4.5. Scalar Curvature
5.6.4.6. Weyl Tensor
5.7. Dimensional Analysis
Chapter 6. Parallelisms of Vectors
6.1. Initial Notes
6.2. Geodesics
6.3. Null Geodesics
6.4. Coordinates Systems
6.4.1. Geodesic Coordinates
6.4.2. Riemann Coordinates
6.5. Geodesic Deviation
6.6. Parallelism of Vectors
6.6.1. Initial Notes
6.6.2. Parallel Transport of Vectors
6.6.3. Torsion
Автор: Emil De Souza Sanchez Filho Название: Tensor Calculus for Engineers and Physicists ISBN: 3319315196 ISBN-13(EAN): 9783319315195 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Описание: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences.
Автор: Ilya L. Shapiro Название: A Primer in Tensor Analysis and Relativity ISBN: 3030268942 ISBN-13(EAN): 9783030268947 Издательство: Springer Рейтинг: Цена: 5487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Описание: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.
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