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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
ISBN-13
978-981-02-3180-4 (9789810231804)
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Schweitzer Klassifikation
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.
