Enter your mobile number below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
Getting the download link through email is temporarily not available. Please check back later.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your mobile phone number.

On Quaternions and Octonions 1st Edition

4.0 out of 5 stars 10 customer reviews
ISBN-13: 978-1568811345
ISBN-10: 1568811349
Why is ISBN important?
ISBN
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Trade in your item
Get a $10.19
Gift Card.
Have one to sell? Sell on Amazon
Buy used On clicking this link, a new layer will be open
$25.49 On clicking this link, a new layer will be open
Buy new On clicking this link, a new layer will be open
$35.10 On clicking this link, a new layer will be open
More Buying Choices
30 New from $30.00 29 Used from $21.50
Free Two-Day Shipping for College Students with Prime Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student


The Amazon Book Review
The Amazon Book Review
Author interviews, book reviews, editors picks, and more. Read it now
$35.10 FREE Shipping. Only 5 left in stock (more on the way). Ships from and sold by Amazon.com. Gift-wrap available.
click to open popover

Frequently Bought Together

  • On Quaternions and Octonions
  • +
  • Rotations, Quaternions, and Double Groups (Dover Books on Mathematics)
  • +
  • A Primer of Quaternions (Classic Reprint)
Total price: $67.11
Buy the selected items together

Editorial Reviews

Review

"Conway and Smith’s book is a wonderful introduction to the normed division algebras … They develop these number systems from scratch, explore their connections to geometry, and even study number theory in quaternionic and octonionic versions of the integers. … a lucid and elegant introduction. … remarkably self-contained. It assumes no knowledge of number theory, string theory, Lie theory, or lower-case Gothic letters."
―John C. Baez, Bulletin of the American Mathematical Society, January 2005

"A resonant spike above background noise in one parameter as another parameter is varied is a frequent indicator…"
―Geoffrey Dixon, Mathematical Intelligencer, May 2004

"Those readers who are fascinated by the links between geometry and groups will find that this book gives them new insights."
―Hugh Williams, The Mathematical Gazette, July 2004

"This is a beautiful and fascinating book on the geometry and arithmetic of the quaternion algebra and the octonion algebra. … most intriguing to read: it is an excellent exposition of very attractive topics, and it contains several new and significant results."
―Theo Grundhöfer, Mathematical Reviews, 2003

NO_CONTENT_IN_FEATURE

New York Times best sellers
Browse the New York Times best sellers in popular categories like Fiction, Nonfiction, Picture Books and more. See more

Product Details

  • Hardcover: 159 pages
  • Publisher: A K Peters/CRC Press; 1st edition (January 23, 2003)
  • Language: English
  • ISBN-10: 1568811349
  • ISBN-13: 978-1568811345
  • Product Dimensions: 9.3 x 6.2 x 0.6 inches
  • Shipping Weight: 12.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (10 customer reviews)
  • Amazon Best Sellers Rank: #645,746 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Hardcover
Conway is an excellent mathematician and an extremely lucid author. No criticism should be given to any of his writings. In the case of quaternions (and octonians), a much better, more complete, and more powerful view is achieved by seeing them in the larger setting of geometric algebra. The geometric algebra gives direct access to all the results and all the geometry of these algebras, and does so in an intuitive and useful way. I suggest that the new book by Chris Doran and Anthony Lasenby called "Geometric Algebra for Physicists" is a better place, generally, to get acquainted with these issues deeply. It isn't a criticism of Conway. It's just an advantage of seeing things in the right context.
1 Comment 64 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Hardcover Verified Purchase
A very beautiful little book with some interesting takes, especially the links to algebraic integers and groups. Some statements are quite elliptical and require a good background in mathematics to follow, but generally fascinating for those who like Conway's work.
Comment One person found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Hardcover
This books gives a window into the newer notation in group theory.
Sometimes things that are "obvious" to Conway and his co-arthor,
just aren't to the rest of us.
But in contrast to that he gives concrete examples
of new approaches that are beyond classical Coexter
and Cartan type approaches.
If you are looking for physics applications to quantum mechanics
for modern group theory,
you might want to try another book,
but if you want an idea of what a Moufang loop is or why
octonions are not associative, then you might like this book.
Some time in this century we may even get
a chance to understand Freudenthal's metasymplectic geometry?
This book for me is sort of a study guide to
what i should try to learn for the future?
Comment 4 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Hardcover Verified Purchase
I love it. There are many fascinating, deep and unique tidbits from John Conway himself.
The style is simple and lucid, assuming you are a mathematician.
Comment One person found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Kindle Edition Verified Purchase
Candid review by one of the masters of the subject. The text is accessible to undergraduate students, very concise and clearly written.
Comment One person found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse

Set up an Amazon Giveaway

On Quaternions and Octonions
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: On Quaternions and Octonions