Charles Loewner: Theory of Continuous Groups

Overview

Charles Loewner, Professor of Mathematics at Stanford University from 1950 until his death in 1968, was a Visiting Professor at the University of California at Berkeley on five separate occasions. During his 1955 visit to Berkeley he gave a course on continuous groups, and his lectures were reproduced in the form of mimeographed notes. Loewner planned to write a detailed book on continuous groups based on these lecture notes, but the project was still in the formative stage at the time of his death. Since the ...
See more details below
Available through our Marketplace sellers.
Other sellers (Hardcover)
  • All (14) from $1.99   
  • New (2) from $58.77   
  • Used (12) from $1.99   
Close
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any BN.com coupons and promotions
$58.77
Seller since 2008

Feedback rating:

(217)

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

Ships from: Chicago, IL

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
$215.00
Seller since 2015

Feedback rating:

(241)

Condition: New
Brand new.

Ships from: acton, MA

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Close
Sort by
Sending request ...

Overview

Charles Loewner, Professor of Mathematics at Stanford University from 1950 until his death in 1968, was a Visiting Professor at the University of California at Berkeley on five separate occasions. During his 1955 visit to Berkeley he gave a course on continuous groups, and his lectures were reproduced in the form of mimeographed notes. Loewner planned to write a detailed book on continuous groups based on these lecture notes, but the project was still in the formative stage at the time of his death. Since the notes themselves have been out of print for several years, Professor Harley Flanders, Department of Mathematics, Tel Aviv University, and Professor Murray Protter, Department of Mathematics, University of California, Berkeley, have taken this opportunity to revise and correct the original fourteen lectures and make them available in permanent form.

Loewner became interested in continuous groups—particularly with respect to possible applications in geometry and analysis—when he studied the three volume work on transformation groups by Sophus Lie. He managed to reconstruct a coherent development of the subject by synthesizing Lie's numerous illustrative examples, many of which appeared only as footnotes. The examples contained in this book are primarily geometric in character and reflect the unique way in which Loewner viewed each of the topics he treated.

This book is part of the series Mathematicians of Our Time, edited by Professor Gian-Carlo Rota, Department of Mathematics, Massachusetts Institute of Technology.

Contents: Transformation Groups; Similarity; Representations of Groups; Combinations of Representations; Similarity and Reducibility; Representations of Cyclic Groups; Representations of Finite Abelian Groups; Representations of Finite Groups; Characters; Introduction to Differentiable Manifolds; Tensor Calculus on a Manifold; Quantities, Vectors, Tensors; Generation of Quantities by Differentiation; Commutator of Two Covariant Vector Fields; Hurwitz Integration on a Group Manifold; Representation of Compact Groups; Existence of Representations; Characters; Examples; Lie Groups; Infinitesimal Transformation on a Manifold; Infinitesimal Transformations on a Group; Examples; Geometry on the Group Space; Parallelism; First Fundamental Theorem of Lie Groups; Mayer-Lie Systems; The Sufficiency Proof; First Fundamental Theorem, Converse; Second Fundamental Theorem, Converse; Concept of Group Germ; Converse of the Third Fundamental Theorem; The Helmholtz-Lie Problem.

Read More Show Less

Product Details

  • ISBN-13: 9780262060417
  • Publisher: MIT Press
  • Publication date: 9/15/1971
  • Series: Mathematicians of Our Time Series, #1
  • Pages: 119
  • Product dimensions: 7.00 (w) x 10.00 (h) x 1.00 (d)

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)