Tensors and Manifolds: With Applications to Physics / Edition 2

Hardcover (Print)
Buy New
Buy New from BN.com
$114.75
Used and New from Other Sellers
Used and New from Other Sellers
from $116.34
Usually ships in 1-2 business days
(Save 13%)
Other sellers (Hardcover)
  • All (4) from $116.34   
  • New (2) from $141.88   
  • Used (2) from $116.34   

Overview

This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanses modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialised courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each other's discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics.
Read More Show Less

Product Details

  • ISBN-13: 9780198510598
  • Publisher: Oxford University Press, USA
  • Publication date: 7/8/2004
  • Edition description: REV
  • Edition number: 2
  • Pages: 464
  • Product dimensions: 9.30 (w) x 6.20 (h) x 1.20 (d)

Meet the Author

Robert H. Wasserman is Professor Emeritus of Mathematics at Michigan State University, USA.

Read More Show Less

Table of Contents

1 Vector spaces 1
2 Multilinear mappings and dual spaces 11
3 Tensor product spaces 25
4 Tensors 34
5 Symmetric and skew-symmetric tensors 46
6 Exterior (Grassmann) algebra 71
7 The tangent map of real cartesian spaces 84
8 Topological spaces 102
9 Differentiable manifolds 108
10 Submanifolds 131
11 Vector fields, 1-forms, and other tensor fields 136
12 Differentiation and integration of differential forms 153
13 The flow and the lie derivative of a vector field 168
14 Integrability conditions for distributions and for Pfaffian systems 186
15 Pseudo-Riemannian geometry 198
16 Connection 1-forms 212
17 Connections on manifolds 230
18 Mechanics 248
19 Additional topics in mechanics 268
20 A spacetime 282
21 Some physics on Minkowski spacetime 306
22 Einstein spacetimes 326
23 Spacetimes near an isolated star 339
24 Nonempty spacetimes 356
25 Lie groups 369
26 Fiber bundles 384
27 Connections on fiber bundles 394
28 Gauge theory 409
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)