| dc.contributor.author | Geetha, P. K. | |
| dc.date.accessioned | 2011-10-24T10:14:32Z | |
| dc.date.available | 2011-10-24T10:14:32Z | |
| dc.date.issued | 2011-10-24T10:14:32Z | |
| dc.date.submitted | 1968 | |
| dc.identifier.uri | https://dspace.imsc.res.in/xmlui/handle/123456789/265 | |
| dc.description.abstract | This report is an outcome of series of lectures given by the author during September - December 1970, at the Institute. | en_US |
| dc.description.tableofcontents | Chapter I: Elements of Point Set Topology; 1. Preliminaries; 2. Compact Spaces; 3. Separable Spaces, some Separation Axioms; 4. Completely Regular and Normal Spaces; 5. Connected Spaces; 6. Types of Connectedness; 7. Bases and Product Topologies. Chapter II: Measure and Integration: 1. Preliminaries; 2. Properties of Measurable functions and Measurable Sets; 3. Types of Convergence; 4. Integrable Simple functions; 5. Integrable Functions; 6. Signed Measures and Decompositions; 7. Product Measures and Product Spaces. Chapter III - Fourier Transforms; 1. The Classical Approach; 2. The abstract Harmonic Analysis Approach. | en_US |
| dc.subject | Modern Mathematics | en_US |
| dc.subject | Fourier Transforms | en_US |
| dc.subject | Integration | en_US |
| dc.subject | Measurable Sets | en_US |
| dc.subject | Point Set Topology | en_US |
| dc.subject | Matscience Report 69 | en_US |
| dc.title | Topics in Modern Mathematics[MatSciRep:69] | en_US |
| dc.type.institution | Institute of Mathematical Sciences | en_US |
| dc.description.pages | 110p. | en_US |
| dc.type.mainsub | Mathematics | en_US |