Functional Analysis
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http://www.math.niu.edu/~rusin/knownmath/index/46XX.html  


Dave Rusin; The Mathematical Atlas  
A short article designed to provide an introduction to functional analysis, which views the big picture in differential equations, for example, thinking of a differential operator as a linear map on a large set of functions. Thus this area becomes the study of (infinitedimensional) vector spaces with some kind of metric or other structure, including ring structures (Banach algebras and C* algebras for example). Appropriate generalizations of measure, derivatives, and duality also belong to this area. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.  


Levels:  College 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Functional Analysis 
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