Title Statements
- Full title :Applied analysis / John K. Hunter, Bruno Nachtergaele.
Edition Statements
- Publication Date:©2001.
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:©2001.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9789812810670, 9812810676
- oclc:on1020636289
- LC Classification:QA300.H93 2001
- Dewey Decimal:515
Table of Contents
Intro; Contents; Preface; Chapter 1 Metric and Normed Spaces; 1.1 Metrics and norms; 1.2 Convergence; 1.3 Upper and lower bounds; 1.4 Continuity; 1.5 Open and closed sets; 1.6 The completion of a metric space; 1.7 Compactness; 1.8 Maxima and minima; 1.9 References; 1.10 Exercises; Chapter 2 Continuous Functions; 2.1 Convergence of functions; 2.2 Spaces of continuous functions; 2.3 Approximation by polynomials; 2.4 Compact subsets of C(K); 2.5 Ordinary differential equations; 2.6 References; 2.7 Exercises; Chapter 3 The Contraction Mapping Theorem; 3.1 Contractions.
3.2 Fixed points of dynamical systems3.3 Integral equations; 3.4 Boundary value problems for differential equations; 3.5 Initial value problems for differential equations; 3.6 References; 3.7 Exercises; Chapter 4 Topological Spaces; 4.1 Topological spaces; 4.2 Bases of open sets; 4.3 Comparing topologies; 4.4 References; 4.5 Exercises; Chapter 5 Banach Spaces; 5.1 Banach spaces; 5.2 Bounded linear maps; 5.3 The kernel and range of a linear map; 5.4 Finite-dimensional Banach spaces; 5.5 Convergence of bounded operators; 5.6 Dual spaces; 5.7 References; 5.8 Exercises; Chapter 6 Hilbert Spaces.
6.1 Inner products6.2 Orth…
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