عنوان

Basic Concepts of Synthetic Differential Geometry

(Number (ISBN

9781441947567

(Number (ISBN

9781475745887

Number

dltt

Title Proper

Basic Concepts of Synthetic Differential Geometry

General Material Designation

[Book]

First Statement of Responsibility

by René Lavendhomme.

Place of Publication, Distribution, etc.

Boston, MA :

Name of Publisher, Distributor, etc.

Imprint: Springer,

Date of Publication, Distribution, etc.

1996.

Series Title

Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series,

Volume Designation

13

ISSN of Series

0927-4529 ;

Text of Note

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.

International Standard Book Number

9781441947567

Title

Springer eBooks

Algebra.

Cell aggregation-- Mathematics.

Global differential geometry.

Logic, Symbolic and mathematical.

Mathematics.

Lavendhomme, René.

SpringerLink (Online service)

Date of Transaction

20190301074500.0

Electronic name

[Book]

Y