000 | 01662nam a2200181Ia 4500 | ||
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003 | OSt | ||
005 | 20231121154716.0 | ||
008 | 210324s2009 xx 000 0 und d | ||
040 | _cnil | ||
082 |
_a517.1 _bBHA/Int |
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100 |
_aBhatt, R.D. _9419969 |
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245 | _aIntermediate Mathematical Analysis | ||
260 | _c2009 | ||
520 | _aTable 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. | ||
650 |
_aMathematics _9419970 |
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700 |
_aN.A. _9419971 |
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942 |
_2ddc _cBK |
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999 |
_c307223 _d307223 |