Linear functional analysis /
Rynne, Bryan P.
Linear functional analysis / Bryan P. Rynne and Martin A. Youngson - 2nd - United Kingdom Springer 2008 - 324 p.
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.
9781848000049
Functional analysis
Global analysis (Mathematics)
Mathematics
Mathematical physics
Operator theory
515 RYN-B
Linear functional analysis / Bryan P. Rynne and Martin A. Youngson - 2nd - United Kingdom Springer 2008 - 324 p.
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.
9781848000049
Functional analysis
Global analysis (Mathematics)
Mathematics
Mathematical physics
Operator theory
515 RYN-B