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Series in Pure Mathematics - Vol. 24
TOPICS IN MATHEMATICAL ANALYSIS AND DIFFERENTIAL GEOMETRY
by N K Laos (University of Kent, UK)
This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.
Contents:
- Principles of Set Theory and Mathematical Logic
- Metric and
Topological Spaces
- Homotopy Theory
- Measure Spaces
- Linear Spaces
- Manifolds and Fiber Bundles
- Topological Methods in Nonlinear Analysis
- Variational Analysis in the Large
- Mathematical Modelling of the Physical Space–Time
Readership: Mathematical physicists.
| 572pp |
Pub. date: Aug 1998 |
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