Mathematical analysis : linear and metric structures and continuity
Part of the foundation of any mathematics education, mathematical analysis has deep applications to dynamical systems, topology, physics and engineering. These independent, fairly self-contained texts, under the general title "Mathematical Analysis," provide not only a rigorous and far-reaching introduction to the modern subject, but a unique examination of its historical evolution as well. This third volume in the sequence encompasses linear and metric spaces and structures, with detailed coverage at the graduate level. "Mathematical Analysis: Linear and Metric Structures, Continuity" contains numerous beautiful illustrations and examples, exercises at the end of each chapter, and a comprehensive index. It will be valuable in graduate seminars and courses or as a reference text for mathematicians, physicists, and engineers. TOC:Preface * Part I: Linear Structures * Kn and Linear Systems * Vector Spaces * Euclidean and Hermitian Structures * Eigenvalues and Reduction to Canonical Form * Part II: Metric and Topological Structures * Metric Spaces and Continuous Functions * Compactness and Connectedness * Continuous Curves * An Introduction to Topological Degree * Part III: Continuity in Infinite Dimensions * Spaces of Continuous Functions and Banach Spaces * Some Famous Principles for Solving Equations in Abstract Spaces * Hilbert Spaces * Applications * Mathematicians and Other Scientists * Bibliographical Notes * Index
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9780817643751
0817643753
- Dimensions
-
24 cm
- Extent
-
XVIII, 465 S.
- Language
-
Englisch
- Notes
-
Ill., graph. Darst.
- Keyword
-
Analysis
- Event
-
Veröffentlichung
- (where)
-
Boston, Basel, Berlin
- (who)
-
Birkhäuser
- (when)
-
2007
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 2:28 PM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Giaquinta, Mariano
- Modica, Giuseppe
- Birkhäuser
Time of origin
- 2007
Other Objects (12)
Mathematical analysis : linear and metric structures and continuity
Radial continuity of set-valued metric projections
Metric structures for Riemannian and non-Riemannian spaces
Metric structures for Riemannian and non-Riemannian spaces
Metric structures in differential geometry
Introduction to mathematical structures and proofs
Metric Selection and Metric Learning for Matching Tasks
Closure and Continuity
Metric foliations and curvature
Hilbert's metric, part metric and selfmappings of a cone
Modern algebra and the rise of mathematical structures
Modern algebra and the rise of mathematical structures
Mathematical analysis : linear and metric structures and continuity
Radial continuity of set-valued metric projections
Metric structures for Riemannian and non-Riemannian spaces
Metric structures for Riemannian and non-Riemannian spaces
Metric structures in differential geometry
Introduction to mathematical structures and proofs
Metric Selection and Metric Learning for Matching Tasks
Closure and Continuity
Metric foliations and curvature
Hilbert's metric, part metric and selfmappings of a cone
Modern algebra and the rise of mathematical structures
Modern algebra and the rise of mathematical structures
Mathematical analysis : linear and metric structures and continuity
Radial continuity of set-valued metric projections
Metric structures for Riemannian and non-Riemannian spaces
Metric structures for Riemannian and non-Riemannian spaces
Metric structures in differential geometry
Introduction to mathematical structures and proofs
Metric Selection and Metric Learning for Matching Tasks
Closure and Continuity
Metric foliations and curvature
Hilbert's metric, part metric and selfmappings of a cone
Modern algebra and the rise of mathematical structures