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
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9780817643751
0817643753
- Maße
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24 cm
- Umfang
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XVIII, 465 S.
- Sprache
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Englisch
- Anmerkungen
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Ill., graph. Darst.
- Schlagwort
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Analysis
- Ereignis
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Veröffentlichung
- (wo)
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Boston, Basel, Berlin
- (wer)
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Birkhäuser
- (wann)
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2007
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
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Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 14:28 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Giaquinta, Mariano
- Modica, Giuseppe
- Birkhäuser
Entstanden
- 2007
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