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
大学図書館所蔵 全30件
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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