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.

Qty:1
In Stock.
Ships from and sold by Amazon.com. Gift-wrap available.
Division Algebras, Lattic... has been added to your Cart
+ $3.99 shipping
Used: Like New | Details
Condition: Used: Like New
Comment: Unread copy in perfect condition.
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See all 2 images

Division Algebras, Lattices, Physics, Windmill Tilting Paperback – August 30, 2011

5.0 out of 5 stars 3 customer reviews

See all 3 formats and editions Hide other formats and editions
Price
New from Used from
Kindle
"Please retry"
Paperback
"Please retry"
$42.00
$34.68 $38.18

The Amazon Book Review
The Amazon Book Review
Author interviews, book reviews, editors picks, and more. Read it now
$42.00 FREE Shipping. In Stock. Ships from and sold by Amazon.com. Gift-wrap available.
click to open popover

Frequently Bought Together

  • Division Algebras, Lattices, Physics, Windmill Tilting
  • +
  • Division Algebras:: Octonions Quaternions Complex Numbers and the Algebraic Design of Physics (Mathematics and Its Applications)
Total price: $201.00
Buy the selected items together

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

  • Paperback: 128 pages
  • Publisher: CreateSpace Independent Publishing Platform (August 30, 2011)
  • Language: English
  • ISBN-10: 1463730802
  • ISBN-13: 978-1463730802
  • Product Dimensions: 8 x 0.3 x 10 inches
  • Shipping Weight: 11.2 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,671,824 in Books (See Top 100 in Books)

Customer Reviews

5 star
100%
4 star
0%
3 star
0%
2 star
0%
1 star
0%
See all 3 customer reviews
Share your thoughts with other customers

Top Customer Reviews

By Benjamin Goertzel on September 16, 2014
Format: Paperback Verified Purchase
A fun read for anyone who loves mathematical physics. Down-to-earth calculations regarding fascinating, beautiful mathematical structures, interspersed with personal anecdotes and speculative comments. The informality and life of a blog, but the rigor and care of an advanced textbook -- great combination!
Comment 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: Paperback Verified Purchase
If you've heard about quaternions or octonions and their speculated uses in the description of physical law, if you have basic college-level training in math and algebra, if you've ever wondered about finding nature's symmetries from the Standard Model in physics from beautifully simple algebraic constructs, or if you're even familiar with these topics since the 1970's and would like to see personal view on history paired with a compact presentation of 30 years of research and vision, then this your book. I've read Dixon's "Division Algebras: Octonions Quaternions Complex Numbers and the Algebraic Design of Physics" (1994) a little while ago, and left off both inspired and confused. This new book, "Division Algebras, Lattices, Physics, and Windmill Tilting", is not only much cheaper, it is also much more compact and approachable in the mathematical presentation. Dixon's seminal proposal from the 1980's and 1990's has since become a benchmark for octonionic models in physical mathematics when aiming at modeling fundamental particle interactions. It is great to see his T = RxCxHxO spinor introduced in this accessible, concise, and easily quotable format. Next to this, I enjoyed the fascinating personal history on how Dixon's ideas unfolded in academia, his "Multiverse Critique", the discussion on octonion products and lattices, and a section on his more recent work on ternary systems. You may enjoy Dixon's brisk humor and cheek, such as: "Michael Atiyah, a deity of mathematical physics at Oxford, recently gave a talk at Princeton extolling the virtues of applying all the division algebras in physics (he suspected that the octonions would be linked to gravity, which is wrong, but still ...).Read more ›
Comment 3 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: Paperback
Upon first scan of Geoffrey M. Dixon's "Division Algebra, Lattices, Physics, Windmill Tilting," my eyes settled upon section 9, "Ternary Stuff". Drawn to "C_3: Ternary Version of C," in which he develops a 3D Complex space with ternary product, I recalled Asimov's "The Gods Themselves," where aliens mate in threes! Most importantly, Dixon uses "mathematical resonance," a notion which reflects his belief that "mathematics and physics, at their most profound levels, are unified: they are one science" [p.8]. This resonance seems to guide his pursuit of math-physics, i.e., he pursues only research into what he finds mathematically resonant! (An admirable MOtivation, IMO.)

Chapter after chapter, Dixon reveals amazing results that flow from this resonance and his struggle to be true to it. In his "Multiverse Critique" [pp 44-49] he shows that all the talk about multiverses doesn't mean just any multiverse is possible, but only those which would conform to the math-physics of mathematical reasonance. (Science fiction writers take note!)

I was powerfully struck by his simple parenthetical comment [p 121]: "...QM (quantum mechanics) and GR (general relativity) should not be unified, they should be derived." IMHOpinion, current mathematical physics could benefit immensely from such a philosophical bent.

Not only is this a book for the mathematically inclined, it is for anyone who wishes to be true to his/her inner motivation to "Do it your way!" I can't help but feel that any reader (including the so-inclined graduate students) will find wonderful direction and example from Dixon's long journey and his compelling findings.
-- John Shuster, 1-12-2012
Comment 5 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

Set up an Amazon Giveaway

Division Algebras, Lattices, Physics, Windmill Tilting
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: Division Algebras, Lattices, Physics, Windmill Tilting