On Quaternions and Octonions (英語) ハードカバー – 2003/1/1
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"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
|星5つ 44% (44%)||44%|
|星4つ 33% (33%)||33%|
|星3つ 14% (14%)||14%|
|星2つ 0% (0%)||0%|
|星1つ 9% (9%)||9%|
The style is simple and lucid, assuming you are a mathematician.
in this hastily compiled piece of trash. No one who
does not already understand the material on octonians
will be able to penetrate this unannotated formulary.
The same goes for the entire second half of the book.
[The first half is just a rehash of material so familiar
that there is no need to see it in print for the N+1 st time. ]
The only worthwhile entry here is the reference guiding
readers to John Baez's article on octonians which:
a) is available free online and
b) actually explains in a reader friendly way the
history, math, and applications involved.
The authors (not to mention editors) should be ashamed
at such a sloppy treatment of this rich and historically
interesting episode in mathematics.