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Mathematical Analysis: Linear and Metric Structures and Continuity / Edition 1
     

Mathematical Analysis: Linear and Metric Structures and Continuity / Edition 1

by Mariano Giaquinta
 

ISBN-10: 0817643745

ISBN-13: 9780817643744

Pub. Date: 03/14/2007

Publisher: Birkhauser Verlag

Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level

Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index

May be used in graduate seminars and courses or as a

Overview

Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level

Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index

May be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers

Product Details

ISBN-13:
9780817643744
Publisher:
Birkhauser Verlag
Publication date:
03/14/2007
Edition description:
2007
Pages:
466
Product dimensions:
6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

Linear Algebra.- Vectors, Matrices and Linear Systems.- Vector Spaces and Linear Maps.- Euclidean and Hermitian Spaces.- Self-Adjoint Operators.- Metrics and Topology.- Metric Spaces and Continuous Functions.- Compactness and Connectedness.- Curves.- Some Topics from the Topology of ?n.- Continuity in Infinite-Dimensional Spaces.- Spaces of Continuous Functions, Banach Spaces and Abstract Equations.- Hilbert Spaces, Dirichlet’s Principle and Linear Compact Operators.- Some Applications.

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