TY  - BOOK
AU  - Bhatt, R.D.  
AU  - N.A.
TI  - Intermediate Mathematical Analysis  
U1  - 517.1 
PY  - 2009///
KW  - Mathematics
N2  - 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
ER  -