Talk:Principal value

From Wikipedia, the free encyclopedia

WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating: Stub Class Low Priority  Field: Analysis

This article emphasizes the tight relation between principal and complex values. Could happen this is an important case, though, I feel, not necessary and therefore misleading. The confusion forced me to check the Wolfram Mathworld definition: "The principal value of an analytic multivalued function is the single value chosen by convention to be returned for a given argument". So, the basic illustration would be a function well-known to any student, e.g. arccos(1) = 0+2Πk. Meantime, the complex numbers are a high math and the ambiguities of complex multi-valued functions should be considered in a separate principal branches arthicle for advanced mathematicians, IMHO.--Javalenok 13:16, 8 January 2006 (UTC)