Tensors and Manifolds: With Applications to Physics / Edition 2

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $42.50
Usually ships in 1-2 business days
(Save 34%)
Other sellers (Paperback)
  • All (4) from $42.50   
  • New (3) from $66.82   
  • Used (1) from $42.50   

Overview


This second edition of Tensors and Manifolds is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialized 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. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, with additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigour combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics.
Read More Show Less

Product Details

  • ISBN-13: 9780199564828
  • Publisher: Oxford University Press
  • Publication date: 6/15/2009
  • Edition number: 2
  • Pages: 464
  • Product dimensions: 6.10 (w) x 9.20 (h) x 1.00 (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
2. Multilinear mappings and dual spaces
3. Tensor product spaces
4. Tensors
5. Symmetric and skew-symmetric tensors
6. Exterior (Grassmann) algebra
7. The tangent map of real cartesian spaces
8. Topological spaces
9. Differentiable manifolds
10. Submanifolds
11. Vector fields, 1-forms and other tensor fields
12. Differentiation and integration of differential forms
13. The flow and the Lie derivative of a vector field
14. Integrability conditions for distributions and for pfaffian systems
15. Pseudo-Riemannian manifolds
16. Connection 1-forms
17. Connection on manifolds
18. Mechanics
19. Additional topics in mechanics
20. A spacetime
21. Some physics on Minkowski spacetime
22. Einstein spacetimes
23. Spacetimes near an isolated star
24. Nonempty spacetimes
25. Lie groups
26. Fiber bundles
27. Connections on fiber bundles
28. Gauge theory

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)