Global calculus
著者
書誌事項
Global calculus
（Graduate studies in mathematics, v. 65）
American Mathematical Society, c2005
大学図書館所蔵 件 / 全35件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 311-312) and index
内容説明・目次
内容説明
Analysis, topology and algebra brought new power to geometry, revolutionizing the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In ""Global Calculus"", the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on global analysis.
目次
- Sheaves and differential manifolds: Definitions and examples Differential operators Integration on differential manifolds Cohomology of sheaves and applications Connections on principal and vector bundles
- Lifting of symbols Linear connections Manifolds with additional structures Local analysis of elliptic operators Vanishing theorems and applications Appendix Bibliography Index.
「Nielsen BookData」 より
