Rynne, Bryan P. <br/><br/>
Linear functional analysis / 
Bryan P. Rynne and Martin A. Youngson 
 - 2nd 
 - United Kingdom  Springer  2008 
 - 324 p. 
<br/><br/> This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. 
<br/><br/><label>ISBN: </label>9781848000049 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Functional analysis<br/>Global analysis (Mathematics)<br/>Mathematics<br/>Mathematical physics<br/>Operator theory
<br/><br/><label>Dewey Class. No.: </label>515 RYN-B