Real Proofs of Complex Theorems (and Vice Versa) Author(s): Lawrence Zalcman Source: The American Mathematical Monthly, Vol. 81, No. 2 (Feb., 1974), pp. 115-137 Published by: Mathematical Association of America Stable URL: http://www.jstor.org/stable/2976953 Accessed: 05-04-2017 21:47 UTC REFERENCES Linked references are available on JSTOR for this article: http://www.jstor.org/stable/2976953?seq=1&cid=pdf-reference#references_tab_contents You may need to log in to JSTOR to access the linked references. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact
[email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Mathematical Association of America is collaborating with JSTOR to digitize, preserve and extend access to The American Mathematical Monthly This content downloaded from 108.179.181.50 on Wed, 05 Apr 2017 21:47:20 UTC All use subject to http://about.jstor.org/terms REAL PROOFS OF COMPLEX THEOREMS (AND VICE VERSA) LAWRENCE ZALCMAN Introduction. It has become fashionable recently to argue that real and complex variables should be taught together as a unified curriculum in analysis. Now this is hardly a novel idea, as a quick perusal of Whittaker and Watson's Course of Modern Analysis or either Littlewood's or Titchmarsh's Theory of Functions (not to mention any number of cours d'analyse of the nineteenth or twentieth century) will indicate.