2007

Mathematical Analysis

Linear and Metric Structures and Continuity

Authors:

ISBN: 978-0-8176-4375-1 (Print) 978-0-8176-4514-4 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xix

  2. Linear Algebra

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-39

      Vectors, Matrices and Linear Systems

    3. No Access

      Book Chapter

      Pages 41-78

      Vector Spaces and Linear Maps

    4. No Access

      Book Chapter

      Pages 79-110

      Euclidean and Hermitian Spaces

    5. No Access

      Book Chapter

      Pages 111-145

      Self-Adjoint Operators

  3. Metrics and Topology

    1. Front Matter

      Pages 147-147

    2. No Access

      Book Chapter

      Pages 149-195

      Metric Spaces and Continuous Functions

    3. No Access

      Book Chapter

      Pages 197-217

      Compactness and Connectedness

    4. No Access

      Book Chapter

      Pages 219-247

      Curves

    5. No Access

      Book Chapter

      Pages 249-282

      Some Topics from the Topology of ℝn

  4. Continuity in Infinite-Dimensional Spaces

    1. Front Matter

      Pages 283-283

    2. No Access

      Book Chapter

      Pages 285-350

      Spaces of Continuous Functions, Banach Spaces and Abstract Equations

    3. No Access

      Book Chapter

      Pages 351-394

      Hilbert Spaces, Dirichlet’s Principle and Linear Compact Operators

    4. No Access

      Book Chapter

      Pages 395-453

      Some Applications

  5. Back Matter

    Pages 455-466