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Topics in Mathematical Analysis and Differential Geometry
Langbeschreibung
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.
Inhaltsverzeichnis
Principles of set theory and mathmatical logic; metric and topological spaces; homotopy theory; measure spaces; linear spaces; manifolds and fibre bundles;topological methods in nonlinear analysis; variational analysis in the large; mathematical modelling of the physical space-time.
ISBN-13:
9789810231804
Veröffentl:
1998
Erscheinungsdatum:
24.08.1998
Seiten:
572
Autor:
Nicolas Laos
Sprache:
Englisch
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