|
" Basic Concepts of Synthetic Differential Geometry "
by René Lavendhomme.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
621270
|
| Doc. No
|
:
|
dltt
|
| Main Entry
|
:
|
Lavendhomme, René.
|
| Title & Author
|
:
|
Basic Concepts of Synthetic Differential Geometry\ by René Lavendhomme.
|
| Publication Statement
|
:
|
Boston, MA :: Springer US :: Imprint: Springer,, 1996.
|
| Series Statement
|
:
|
Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series,; 13
|
| ISBN
|
:
|
9781475745887
|
|
|
:
|
: 9781441947567
|
| Abstract
|
:
|
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.
|
| Subject
|
:
|
Mathematics.
|
| Subject
|
:
|
Algebra.
|
| Subject
|
:
|
Global differential geometry.
|
| Subject
|
:
|
Logic, Symbolic and mathematical.
|
| Subject
|
:
|
Cell aggregation-- Mathematics.
|
| Added Entry
|
:
|
SpringerLink (Online service)
|
| |