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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
ISBN 981-02-3180-6 US$86 / £60
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Updated on 4 July 2008