Tensor Analysis

By: Leonid P Lebedev, Michael J Cloud

Write A Review

Hardcover | 1 December 2002

At a Glance

Hardcover
204 Pages

Dimensions(cm)
22.86 x 15.88 x 1.91

Hardcover

RRP $205.99

$185.75

10%OFF

or 4 interest-free payments of $46.44 with

Ships in 15 to 25 business days

Tensor analysis is an essential tool in any science (for example, 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, aims to makes the text a very useful reference. A second appendix contains full hints and solutions for the exercises.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Functional Analysis & Transforms Civil Engineering Science Physics Mathematical Physics

Booktopia Publisher Services World Scientific Publishing

Foreword
Preface
Preliminaries	p. 1
The Vector Concept Revisited	p. 1
A First Look at Tensors	p. 2
Assumed Background	p. 3
More on the Notion of a Vector	p. 5
Transformations and Vectors	p. 9
Change of Basis	p. 9
Dual Bases	p. 10
Transformation to the Reciprocal Frame	p. 14
Transformation Between General Frames	p. 16
Covariant and Contravariant Components	p. 18
The Cross Product in Index Notation	p. 19
Tensors	p. 23
Dyadic Quantities and Tensors	p. 23
Tensors from an Operator Viewpoint	p. 24
Dyadic Components Under Transformation	p. 28
More Dyadic Operations	p. 30
Properties of Second Rank Tensors	p. 34
Extending the Dyad Idea	p. 48
Tensors of the Fourth and Higher Ranks	p. 50
Tensor Fields	p. 53
Vector Fields	p. 53
Differentials and the Nabla Operator	p. 62
Differentiation of a Vector Function	p. 67
Derivatives of the Frame Vectors	p. 67
Christoffel Coefficients and their Properties	p. 68
Covariant Differentiation	p. 73
Covariant Derivative of a Second Rank Tensor	p. 74
Differential Operations	p. 76
Orthogonal Coordinate Systems	p. 81
Some Formulas of Integration	p. 85
Norms on Spaces of Vectors and Tensors	p. 88
Elements of Differential Geometry	p. 93
Elementary Facts from the Theory of Curves	p. 94
The Torsion of a Curve	p. 101
Serret-Frenet Equations	p. 104
Elements of the Theory of Surfaces	p. 106
The Second Fundamental Form of a Surface	p. 117
Derivation Formulas	p. 122
Implicit Representation of a Curve; Contact of Curves	p. 125
Osculating Paraboloid	p. 131
The Principal Curvatures of a Surface	p. 133
Surfaces of Revolution	p. 138
Natural Equations of a Curve	p. 140
A Word About Rigor	p. 142
App. A: Formulary	p. 147
App. B: Hints and Answers	p. 165
Bibliography	p. 187
Index	p. 189
Table of Contents provided by Blackwell. All Rights Reserved.

Tensor Analysis

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Functional Analysis & Transforms

Functional Analysis

Entering Hilbert Space

A Course in Real Analysis

Textbooks in Mathematics

Nonlinear Fractional Differential Equations of Variable Order

Measure Theory and Integration

Schaum's Outline of Complex Variables

Schaum's Outline Series

Mathematical Meditations

Ak Peters/Crc Recreational Mathematics

A Concise Introduction to Functional Analysis

Inequalities and Integral Operators in Function Spaces

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

A Course on Function Spaces I

Continuous and Integrable Functions

A Guide to Generalized Functions

Linear, Nonlinear, Random, and Infinite Dimensional Distributions

Spectra of Discrete Structures

Cambridge Studies in Advanced Mathematics

Quantum Mechanics Done Right

The Shortest Path from Novice to Researcher

The Book of Functions

Explore Set Theory, Abstract Algebra, and Category Theory with Functional Programming

Mathematical Theory of Quantum Fields

International Series of Monographs on Physics

Young Scientists Series, The (In 12 Volumes)

Young Scientists

Advances in Nonlinear Dynamics and Its Applications

Industrial and Applied Mathematics

Direct and Inverse Problems With Applications

Extended Abstracts of the 2024 Gap Center Summer School

Analysis on Manifolds With Singularities

Pseudo-differential Operators

Integral Operators in Non-Standard Function Spaces

Progress in Morrey-Type Spaces and Related Topics

Extension Theory of Symmetric Operators and Boundary Value Problems

Operator Theory: Advances and Applications

Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Chapman University, January 2024

Integral Operators in Non-Standard Function Spaces

A Sequel: Inequalities, Sharp Estimates, Bounded Variation, and Approximation

Liouville's Theory in Linear and Nonlinear Partial Differential Equations

Springer Asia Pacific Mathematics

Sturm-Liouville Theory and its Applications

Springer Undergraduate Mathematics Series

This product is categorised by