Differential operators
著者
書誌事項
Differential operators
（Contemporary mathematicians, . Collected papers / Raoul Bott ; v. 2）
Birkhäuser, 1994
- : us
- : sz
- : set : us
- : set : sz
並立書誌 全1件
大学図書館所蔵 件 / 全47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
内容説明・目次
- 巻冊次
-
: us ISBN 9780817636463
内容説明
The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are:
Volume 1: Topology and Lie Groups (1950's)
Volume 2: Differential Operators (1960's)
Volume 3: Foliations (1970's)
Volume 4: Mathematics Related to Physics (1980's)
Volume 5: Completive Articles and Additional Biographic Material (1990's)
This volume contains most of Raoul Bott's papers on the relations between topology and analysis. In the early 1960's, Bott, along with Atiyah, Hirzebruch, and Singer, brought about a revolution in this subject. It was an important development for twentieth century mathematics relying extensively on K-theory, as developed by Atiyah and Hirzebruch following the lead of Grothendieck in algebraic geometry, which in turn, depended on Bott's Periodicity Theorem (originally proved in Volume 1, and reproved in papers [33] and [35] of this volume).
目次
- Volume 2.- The Papers of Raoul Bott.- [33] Clifford Modules.- [34] The Index Problem for Manifolds with Boundary.- [35] On the Periodicity Theorem for Complex Vector Bundles.- [36] Notes on the Lefschetz Fixed Point Theorem for Elliptic Complexes.- [37] The Index Theorem for Homogeneous Differential Operators.- [38] Hermitian Vector Bundles and the Equidistribution of the Zeroes of their Holomorphic Sections.- [39] A Fixed Point Theorem for Elliptic Complexes.- [40] A Lefschetz Fixed Point Formula for Elliptic Differential Operators.- [41] Vector Fields and Characteristic Numbers.- [42] A Lefschetz fixed point formula for elliptic complexes: I.- [43] A Residue Formula for Holomorphic Vector-Fields.- [44] A Lefschetz fixed point formula for elliptic complexes: II. Applications.- [45] Topics in Topology and Differential Geometry.- [46] Lectures on K(X).- [47] acunas for Hyperbolic Differential Operators with Constant Coefficients I.- [48] Some Formulas Related to Complex Transgression.- [49] On the Zeroes of Meromorphic Vector-Fields.- [58] On the Heat Equation and the Index Theorem.- [58a] Errata to the paper On the Heat Equation and the Index Theorem.- [62] Lacunas for Hyperbolic Differential Operators with Constant Coefficients. II.- [90] The Topological Constraints on Analysis.- Permissions - Volume 2.
- 巻冊次
-
: set : us ISBN 9780817637019
内容説明
This four-volume set of Raoul Bott's works includes "Typology and Lie Groups" (1950s); "Differential Operators" (1960s); "Foliations" (1970s); and "Mathematics Related to Physics" (1980s).
- 巻冊次
-
: sz ISBN 9783764336462
内容説明
The collected papers of Raoul Bott are contained in four volumes, with each volume covering a different subject and representing approximately a decade of Bott's work. This volume covers differential operators and represents the 1960s. Other volumes are: Volume One - "Topology and Lie Groups" (1950s); Volume Three - "Foliations" (1970s); and Volume Four - "Mathematics Related to Physics" (1980s).
- 巻冊次
-
: set : sz ISBN 9783764337018
内容説明
This four-volume set of Raoul Bott's works includes "Typology and Lie Groups" (1950s); "Differential Operators" (1960s); "Foliations" (1970s); and "Mathematics Related to Physics" (1980s).
「Nielsen BookData」 より
