000 01662nam a2200181Ia 4500
003 OSt
005 20231121154716.0
008 210324s2009 xx 000 0 und d
040 _cnil
082 _a517.1
_bBHA/Int
100 _aBhatt, R.D.
_9419969
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
700 _aN.A.
_9419971
942 _2ddc
_cBK
999 _c307223
_d307223