Tensor analysis with Applications

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $44.00
Usually ships in 1-2 business days
(Save 37%)
Other sellers (Hardcover)
  • All (1) from $44.00   
  • New (1) from $44.00   
Close
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any BN.com coupons and promotions
$44.00
Seller since 2014

Feedback rating:

(0)

Condition:

New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

New
Hardcover New in new dust jacket. Brand New US edition, 3-5 days shipping!

Ships from: San Francisco, CA

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
Page 1 of 1
Showing All
Close
Sort by

Overview

The principal aim of tensor analysis is to investigate the relations which remain valid when we change from one coordinate system to another. Albert Einstein found it to be an excellent tool for the presentation of his general theory of relativity and consequently tensor analysis came to prominence in mathematics.

It has applications in most branches of theoretical physics and engineering. This present book is intended as a text for postgraduate students of mathematics, physics and engineering. It is self-contained and requires prior knowledge of elementary calculus, differential equations and classical mechanics. It consists of five chapters, each containing a large number of solved examples, unsolved problems and links to the solution of these problems.

"Tensor Analysis with Applications" can be used on a selection of university courses, and will be a welcome addition to the library of maths, physics and engineering departments.

Read More Show Less

Product Details

  • ISBN-13: 9781905740864
  • Publisher: Anshan Publishing
  • Publication date: 5/15/2008
  • Pages: 260
  • Product dimensions: 6.30 (w) x 9.60 (h) x 0.90 (d)

Table of Contents

1. Tensors and their Algebra

1.1 Introduction

1.2 Transformation of Coordinates

1.3 Summation Convention

1.4 Kronecker Delta

1.5 Scalars, Contravariant and Covariant Vectors

1.6 Tensors of Higher Rank

1.7 Symmetry of Tensors

1.8 Algebra of Tensors, Addition and Subtraction, Equality of Tensors, Inner and Outer Products, Contraction, The Quotient Law

1.9 Irreducible Tensors, Exercises

2. Riemannian Space and Metric Tensor

2.1 Introduction

2.2 The Metric Tensor

2.3 Raising and Lowering of Indices-Associated Tensor

2.4 Vector Magnitude

2.5 Relative and Absolute Tensors

2.6 The Levi-Civita Tensor, Exercises

3. Christoffel Symbols and Covariant Differentiation

3.1 Introduction

3.2 Christoffel Symbols

3.3 Transformation Law for Christoffel Symbols

3.4 Equation of a Geodesic

3.5 Affine Parameter

3.6 Geodesic Coordinate System

3.7 Covariant Differentiation, Covariant Derivatives of Contravariant and Covariant Vectors, Covariant Derivatives of Rank Two Tensors, Covariant Derivatives of Tensors of Higher Rank

3.8 Rules for Covariant Differentiation

3.9 Some Useful Formulas, Divergence of a Vector Field, Gradient of a Scalar and Laplacian, Curl of a Vector Field, Divergence of a Tensor Field

3.10 Intrinsic Derivative-Parallel Transport

3.11 Null Geodesics

3.12 Alternative Derivation of Equation of Geodesic, Exercises

4. The Riemann Curvature Tensor

4.1 Introduction

4.2 The Riemann Curvature Tensor

4.3 Commutation of Covariant Derivatives

4.4 Covariant Form of the Riemann Curvature Tensor

4.5 Properties of the Riemann Curvature Tensor

4.6 Uniqueness of the Riemann Curvature Tensor

4.7 The Number of Algebraically Independent Components of the Riemann Curvature Tensor

4.8 The Ricci Tensor and the Scalar Curvature

4.9 The Einstein Tensor

4.10 The Integrability of the Riemann Tensor and the Flatness of the Space

4.11 The Einstein Spaces

4.12 Curvature of a Riemannian Space

4.13 Spaces of Constant Curvature, Exercises

5. Some Advanced Topics

5.1 Introduction

5.2 Gewodesic Deviation

5.3 Decomposition of Riemann Curvature Tensor

5.4 Electric and Magnetic Parts of the Riemann and Weyl Tensors

5.5 Classification of Gravitational Fields

5.6 Invariants of the Riemann Curvature Tensor

5.7 Curvature Tensors Involving the Riemann Tensor, Space-matter Tensor, Conharmonic Curvature Tensor

5.8 Lie Derivative

5.9 The Killing Equation

5.10 The Curvature Tensor and Killing Vector, Exercises

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)