Topics in mathematical analysis and differential geometry
著者
書誌事項
Topics in mathematical analysis and differential geometry
（Series in pure mathematics, v. 24）
World Scientific, c1998
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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.
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