Tensor Analysis on Manifolds (Dover Books on Mathematics): Richard L. Bishop, Samuel I. Goldberg: 0800759640393: Amazon.com: Books

Tensor Analysis on Manifolds (Dover Books on Mathematics) Later Printing Edition

by Richard L. Bishop (Author), Samuel I. Goldberg (Author)

26 customer reviews

ISBN-13: 978-0486640396

ISBN-10: 0486640396

Why is ISBN important?

Have one to sell? Sell on Amazon

Added to

Unable to add item to List. Please try again.

Share <Embed>

Buy new

$10.68

In Stock.

Ships from and sold by Amazon.com. Gift-wrap available.

Want it Sunday, Aug. 13? Order within and choose Two-Day Shipping at checkout. Details

List Price: $16.95 Save: $6.27 (37%)

37 New from $10.68

FREE Shipping on orders over $25.

Turn on 1-Click ordering

Ship to:

Select a shipping address:

More Buying Choices

37 New from $10.68 48 Used from $8.94

85 used & new from $8.94

See All Buying Options

Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

"This is a first-rate book and deserves to be widely read." — American Mathematical Monthly
Despite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. The authors have treated tensor analysis as a continuation of advanced calculus, striking just the right balance between the formal and abstract approaches to the subject.
The material proceeds from the general to the special. An introductory chapter establishes notation and explains various topics in set theory and topology. Chapters 1 and 2 develop tensor analysis in its function-theoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on manifolds and integration theory. In the last two chapters (5 and 6) several important special structures are studied, those in Chapter 6 illustrating how the previous material can be adapted to clarify the ideas of classical mechanics. The text as a whole offers numerous examples and problems.
A student with a background of advanced calculus and elementary differential equation could readily undertake the study of this book. The more mature the reader is in terms of other mathematical knowledge and experience, the more he will learn from this presentation.

Tensor Analysis on Manifolds (Dover Books on Mathematics)

$10.68 FREE Shipping on orders over $25. In Stock. Ships from and sold by Amazon.com. Gift-wrap available.

Frequently bought together

+
+

Total price: $43.14

Buy the selected items together

This item:Tensor Analysis on Manifolds (Dover Books on Mathematics) by Richard L. Bishop Paperback $10.68
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details
Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics) by David Lovelock Paperback $15.41
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details
Differential Geometry (Dover Books on Mathematics) by Erwin Kreyszig Paperback $17.05
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details

Customers who bought this item also bought

Page 1 of 1 Start overPage 1 of 1

This shopping feature will continue to load items. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading.

David Lovelock

31

Paperback
$15.41
Erwin Kreyszig

36

Paperback
$17.05
Bert Mendelson

64

in Topology
Paperback
$11.60
Richard J. Trudeau

85

in Graph Theory
Paperback
$7.18
Georgi P. Tolstov

67

Paperback
$18.00
George E. Andrews

41

Paperback
$13.24

Sponsored products related to this item (What's this?)

Page 1 of 1 Start over

Feedback

Ken Ono

27

Hardcover

$17.26
Feedback

Richard W. Fisher

184

Paperback

$21.54
Feedback

Miklos Bona

1

Hardcover

$112.73
Feedback

Richard W. Fisher

55

Paperback

$14.26
Feedback

Richard W. Fisher

132

Paperback

$24.76
Feedback

Daniel C. Deckler PhD PE

12

Paperback

$68.30
Feedback

Chris McMullen

6

Kindle Edition

$3.99

Product details

Series: Dover Books on Mathematics
Paperback: 288 pages
Publisher: Dover Publications; Later Printing edition (December 1, 1980)
Language: English
ISBN-10: 0486640396
ISBN-13: 978-0486640396
Product Dimensions: 5.6 x 0.6 x 8.3 inches
Shipping Weight: 11.2 ounces (View shipping rates and policies)
Average Customer Review: 26 customer reviews
Amazon Best Sellers Rank: #475,482 in Books (See Top 100 in Books)
- #31 in Books > Science & Math > Mathematics > Applied > Vector Analysis
- #5286 in Books > Textbooks > Science & Mathematics > Mathematics

Would you like to tell us about a lower price?
If you are a seller for this product, would you like to suggest updates through seller support?

NO_CONTENT_IN_FEATURE

Customer reviews

4.5 out of 5 stars

5 star		61%
4 star		31%
3 star		8%
2 star		0%
1 star		0%

Write a customer review

See all verified purchase reviews

Rated by customers interested in

What's this?

Math Books

4.7 out of 5 stars

Mathematics

4.6 out of 5 stars

Is this feature helpful?

Thank you for your feedback.

Top customer reviews

Great book to read with Wald and Weinberg

ByAsanka Amarasingheon May 6, 2016

Format: PaperbackVerified Purchase

Great book to read with Wald and Weinberg. It has the mathematical background if one would like to seek in order to understand the role of tensors in space and what it has to do with GR. Great book well written and understandable.

0Comment 4 people found this helpful. Was this review helpful to you?YesNo

ByWilliamon January 5, 2017

Format: Kindle EditionVerified Purchase

Great reference for answers on introductory differential geometry. Clear, concise, theory with good examples.

0Comment One person found this helpful. Was this review helpful to you?YesNo

Can't get over how good this book is.

ByE. Ebrahimon April 10, 2010

Format: PaperbackVerified Purchase

As a physics-math major, I have never come across such a perfect book to start differential geometry. I buy a lot of Dover publishing books because of their cheapness, but this one is probably my most valued geometry book. No other book has been this terse and this clear at the same time.

This book provides a solid foundation for everything it does without assuming your understanding of anything before-hand.

For example, physicist-geared introductions tend to hide a lot of the real topology and linear algebra behind the subject. Almost every other book I've read assumes knowledge of dual spaces for vector spaces, and just gives a quick definition. This book does not do any of that. It gives clear mathematical details and motivation to go with them.

Don't let the book's low price make it appear to be low quality.

0Comment 11 people found this helpful. Was this review helpful to you?YesNo

Good introduction to manifolds

ByGiacomo Petrosellion May 11, 2015

Format: PaperbackVerified Purchase

Concise and clear, as a math text should be.
I did easily manage to stress the hierarchies between the various mathematical structures, which was my main concern

0Comment One person found this helpful. Was this review helpful to you?YesNo

ByCarlos Mario Fontalon May 20, 2016

Format: PaperbackVerified Purchase

Nice book, looks like new and arrived on time. Great quality.

0CommentWas this review helpful to you?YesNo

Great Primer on Differential Geometry

ByBridget L. Mosson February 9, 2010

Format: PaperbackVerified Purchase

I bought this as a primer for reading General Relativity and did not give five stars for a few reasons:
no symbol index, the intro on Topology is almost worthless and I would add a few more required subjects before bothering to tackle this besides the ones suggested by the authors including introductory Linear Algebra and Topology. My other complaint is that there are only 21 small diagrams which is kind of disappointing considering the highly geometrical nature of the subject.

0Comment 5 people found this helpful. Was this review helpful to you?YesNo

Too many parts of this book look like English essay

ByAmazon Customeron January 6, 2017

Format: PaperbackVerified Purchase

This book leaves too many gaps which need to be filled by readers. For some parts, if the author was not intending to give proof, that is OK, could just give a clear conclusion, instead of offering some half hearted, confusing narration. Too many parts of this book look like English essay, not a rigorous math text book.

0Comment 2 people found this helpful. Was this review helpful to you?YesNo

An excellent challenge for the old mind!

ByWilliam R Logue Jron February 19, 2013

Format: PaperbackVerified Purchase

I have just started to read it, generally while waiting for doctors. Chapter "0" proved
an excellent review of that which I had learned in '62 and chapter 1 is proving similar.
My use of the book at 76 years is to keep the mind alive and it does provide the
necessary challenge!

22 comments 2 people found this helpful. Was this review helpful to you?YesNo

Most recent customer reviews

Published 1 month ago by john mahon

It's very good.

Published 3 months ago by KI

Book arrived perfectly.

Published on May 28, 2015 by Lappoon Rupert Tang

Published on November 5, 2014 by Qianfan Chen

Tidy, well-organized, clear and simple

This 1968 work is a tidy, well-presented book with an orderly progression of ideas. I particularly like the treatment of affine connections in the metric-free context before...Tensor Analysis on Manifolds Read more

Published on June 30, 2013 by Alan U. Kennington

excellent text!!!

Not for someone without a strong background in topology, linear algebra, and analysis. But definitely THE go-to book for mathematicians interested in tensor analysis...

Published on March 10, 2013 by Eric P. Patty

Set up an Amazon Giveaway

Tensor Analysis on Manifolds (Dover Books on Mathematics)

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway

This item: Tensor Analysis on Manifolds (Dover Books on Mathematics)

Set up a giveaway

Customers who viewed this item also viewed

Page 1 of 1 Start overPage 1 of 1

This shopping feature will continue to load items. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading.

David Lovelock

31

Paperback
$15.41
Erwin Kreyszig

36

Paperback
$17.05
Bert Mendelson

64

in Topology
Paperback
$11.60
Richard J. Trudeau

85

in Graph Theory
Paperback
$7.18
Pavel Grinfeld

39

Hardcover
$46.80
A. J. McConnell

6

Paperback
$18.13

Pages with related products. See and discover other items: advanced math, differentials calculus, black background, advanced mathematics, pure mathematics, mathematics analysis

English United States

Conditions of Use
Privacy Notice
Interest-Based Ads
© 1996-2017, Amazon.com, Inc. or its affiliates