# tensor analysis and elementary differential geometry for physicists and engineers mathematical engineering

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## Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers

**Author :**Hung Nguyen-Schäfer

**ISBN :**9783662484975

**Genre :**Technology & Engineering

**File Size :**50. 62 MB

**Format :**PDF, Docs

**Download :**287

**Read :**853

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.

## Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers

**Author :**Hung Nguyen-Schäfer

**ISBN :**9783662434444

**Genre :**Mathematics

**File Size :**61. 8 MB

**Format :**PDF, Mobi

**Download :**737

**Read :**388

Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. 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 and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists and practicing engineers.

## Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers

**Author :**Hung Nguyen-Schafer

**ISBN :**3662569299

**Genre :**

**File Size :**63. 24 MB

**Format :**PDF, Kindle

**Download :**767

**Read :**203

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.

## Introduction To Vector And Tensor Analysis

**Author :**Robert C. Wrede

**ISBN :**9780486137117

**Genre :**Mathematics

**File Size :**30. 59 MB

**Format :**PDF, ePub, Mobi

**Download :**809

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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.

## Vector And Tensor Analysis With Applications

**Author :**A. I. Borisenko

**ISBN :**9780486131900

**Genre :**Mathematics

**File Size :**76. 52 MB

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**Download :**566

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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.

## Exterior Analysis

**Author :**Erdogan Suhubi

**ISBN :**9780124159280

**Genre :**Mathematics

**File Size :**33. 23 MB

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Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as well as physicists and mathematicians. Provides a thorough explanation of how to apply differential equations to solve real-world engineering problems Helps researchers in mathematics, science, and engineering develop skills needed to implement mathematical techniques in their research Includes physical applications and methods used to solve practical problems to determine symmetry

## Tensor Analysis

**Author :**Leonid P Lebedev

**ISBN :**9789814486071

**Genre :**Technology & Engineering

**File Size :**82. 52 MB

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Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. The final chapter introduces the reader to differential geometry, including the elementary theory of curves and surfaces. A well-organized formula list, provided in an appendix, makes the book a very useful reference. A second appendix contains full hints and solutions for the exercises. Contents:PreliminariesTransformations and VectorsTensorsTensor FieldsElements of Differential Geometry Readership: Undergraduates and graduate students in engineering and physics, engineers, physicists and applied mathematicians. Keywords:Vectors;Tensors;Transformations;Curves and Surfaces;Differential GeometryReviews:“The book gives a brief, clear, and comprehensive introduction to the theory … A particularly nice feature is a well-organized appendix containing compact listings of all the principal formulas required in applications — these 18 pages alone are worth the price of the book … it should be of interest to both undergraduate and graduate students of physics and engineering, as well as to practicing physicists and engineers.”ZAMM

## Tensor Algebra And Tensor Analysis For Engineers

**Author :**Mikhail Itskov

**ISBN :**9783319163420

**Genre :**Technology & Engineering

**File Size :**82. 42 MB

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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.

## Differential Geometry

**Author :**Erwin Kreyszig

**ISBN :**9780486318622

**Genre :**Mathematics

**File Size :**57. 93 MB

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**Download :**767

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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

## Applied Differential Geometry

**Author :**William L. Burke

**ISBN :**0521269296

**Genre :**Mathematics

**File Size :**73. 79 MB

**Format :**PDF, Kindle

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This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.