| 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 |
http://hdl.handle.net/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 |