Mathematical Analysis : Linear and Metric Structures and Continuity

Mathematical Analysis Linear and Metric Structures and Continuity

This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of...

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Bibliographic Details
Main Authors: Giaquinta, Mariano. author (author), Modica, Giuseppe. author
Format: eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston 2007.
Edition:1st ed. 2007.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Differential equations.
Topology.
Functional analysis.
Functions of real variables.
Applied mathematics.
Engineering mathematics.
Analysis.
Ordinary Differential Equations.
Functional Analysis.
Real Functions.
Applications of Mathematics.
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462106506719
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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