Intermediate Mathematical Analysis
Publication details: 2009 Subject(s): MathematicsDDC classification: 517.1 Summary: Table of Contents Preface Metric Spaces: Definition of a Metric Space Some Examples Euclidean Metric in Kn Normed Spaces: Normed Spaces The Sequence Space lp, p>1: Topology of Metric Spaces: Topological Spaces Topology of Metric Spaces Equivalent Metrics Subspaces Sequences in Metric Spaces Closure, Interior and Boundary Complete Metric Spaces: The Cauchy Sequence Subsequences Contraction Mapping Continuity: Continuity between Metric Spaces Open Maps, Closed Maps Uniform Continuity Homeomorphism and Isometry Discontinuities and All That Connected Metric Spaces: Connected Metric Spaces Application of Intermediate Value Theorem Connected Components Path Connected Spaces Compact Metric Spaces: Compactness Characterization of Compact Metric Spaces Applications Sequences and Series of Functions: Pointwise Convergence Uniform Convergence Power Series: Limit Superior and Limit Inferior Power Series The Circular Functions The Exponential Function Fourier Series: Orthogonal Functions Fourier Sine and Cosine Series Mean Square Convergence of Fourier Series The Pointwise Convergence of Fourier Series Appendixes Bibliography Index Index of Symbols.| Item type | Home library | Call number | Materials specified | Status | Date due | Barcode |
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| Parvatibai Chowgule College of Arts and Science, Margao Mathematics | 517.1 BHA/Int (Browse shelf(Opens below)) | Available | PCC-41138 | |||
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Parvatibai Chowgule College of Arts and Science, Margao Mathematics | 517.1 BHA/Int (Browse shelf(Opens below)) | Available | PCC-41139 | ||
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Books
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Parvatibai Chowgule College of Arts and Science, Margao | 517.1BHA/Int (Browse shelf(Opens below)) | Available | PCC-45718 |
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| 517 NAR.MIT Different Calculus | 517 STE/Ess Essential Calculus Early Transcendentals | 517 THO.FIN Calculus | 517.1 BHA/Int Intermediate Mathematical Analysis | 517.1 BHA/Int Intermediate Mathematical Analysis | 517.1 BRO/Mat Mathematical analysis Introduction | 517.1 DIS.Dif II Differential and Integral Calculus Vol II |
Table of Contents
Preface
Metric Spaces: Definition of a Metric Space
Some Examples
Euclidean Metric in Kn
Normed Spaces: Normed Spaces
The Sequence Space lp, p>1:
Topology of Metric Spaces: Topological Spaces
Topology of Metric Spaces
Equivalent Metrics
Subspaces
Sequences in Metric Spaces
Closure, Interior and Boundary
Complete Metric Spaces: The Cauchy Sequence
Subsequences
Contraction Mapping
Continuity: Continuity between Metric Spaces
Open Maps, Closed Maps
Uniform Continuity
Homeomorphism and Isometry
Discontinuities and All That
Connected Metric Spaces: Connected Metric Spaces
Application of Intermediate Value Theorem
Connected Components
Path Connected Spaces
Compact Metric Spaces: Compactness
Characterization of Compact Metric Spaces
Applications
Sequences and Series of Functions: Pointwise Convergence
Uniform Convergence
Power Series: Limit Superior and Limit Inferior
Power Series
The Circular Functions
The Exponential Function
Fourier Series: Orthogonal Functions
Fourier Sine and Cosine Series
Mean Square Convergence of Fourier Series
The Pointwise Convergence of Fourier Series
Appendixes
Bibliography
Index
Index of Symbols.
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