عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789401061025
(Number (ISBN
9789401150064
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408877
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Geometry of Vector Sheaves
General Material Designation
[Book]
Other Title Information
An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications /
First Statement of Responsibility
by Anastasios Mallios.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1998.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
439
CONTENTS NOTE
Text of Note
Two. Geometry -- VI. Geometry of Vector Sheaves. A-connections -- VII. A-connections. Local Theory -- VIII. Curvature -- IX. Characteristic Classes -- Three. Examples and Applications -- X. Classical Theory -- XI. Sheaves and Presheaves with Topological Algebraic Structures -- Notational Index.
0
SUMMARY OR ABSTRACT
Text of Note
This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to non-linear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789401061025
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebraic topology.
Functional analysis.
Global analysis.
Global differential geometry.
Harmonic analysis.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mallios, Anastasios.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301082600.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
