"Most texts on number theory contain inserted historical notes but in this course I have attempted to obtain a present…"

"There is still something in the system which gravels me. I have not yet any clear views as to the extent to which we …"

"It is possible to form an analogous theory with seven imaginary roots of (-1)."

"The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex…"

"Besides their possible role in physics, the octonions are important because they tie together some algebraic structur…"

"The octonions are much stranger. Not only are they noncommutative, they are also break another familiar law of arithm…"

"But mathematicians know that the number system we study in school is but one of many possibilities. And indeed, other…"

"But perhaps most important, it wasn’t clear in Hamilton’s time just what the octonions would be good for. They are cl…"

"Despite its counter-culture status, the octonions have long drawn the curiosity of generations of physicists. The alg…"

"It is nearly irresistible to ask if the octonions, \mathbb O, the last of the set of four normed division algebras ov…"