SCRAP_references_complex.bib

%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/


%% Created for Jiahao Chen at 2014-02-01 14:33:16 -0500 


%% Saved with string encoding Unicode (UTF-8) 



@article{Hamilton:1837nr,
	Annote = {This is the paper presented in 1833 at the Royal Irish Academy about complex numbers.

"The third part, The Theory of Conjugate Functions, or Algebraic Couples, defines complex numbers as `algebraic couples', which are ordered pairs of real numbers, with appropriately defined operations of addition, subtraction, multiplication and division. Hamilton gives a careful proof of basic properties of the exponential function, and discusses the nature of logarithms, providing a natural framework to justify results obtained by his friend John T. Graves concerning complex logarithms which had been questioned by eminent British mathematicians such as Peacock and Herschel."},
	Author = {William Rowan Hamilton},
	Date-Added = {2014-02-01 18:28:24 +0000},
	Date-Modified = {2014-02-01 19:23:53 +0000},
	Journal = {Transactions of the Royal Irish Academy},
	Pages = {293-422},
	Title = {Theory of Conjugate Functions, or Algebraic Couples; with a Preliminary and Elementary Essay on Algebra as the Science of Pure Time.},
	Url = {http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/PureTime/},
	Volume = {17},
	Year = {1837}}

@inbook{Apostol:1967bh,
	Annote = {Describes the relationship between real numbers and complex numbers in two different ways: first, the complex numbers as an extension of the real numbers, and second, the real numbers as isomorphic with a subset of the complex numbers,. 

Could be a useful example of "leaky isomorphism": embedding two things that look superficially identical but sometimes have very different behaviors.},
	Author = {Tom M Apostol},
	Chapter = {9.3},
	Date-Added = {2014-01-27 22:09:44 +0000},
	Date-Modified = {2014-01-27 22:11:54 +0000},
	Pages = {360-1},
	Publisher = {Wiley},
	Title = {Calculus},
	Volume = {1},
	Year = {1967}}