عنوان

Basic Concepts of Synthetic Differential Geometry

شابک

9781441947567

شابک

9781475745887

شماره

dltt

عنوان اصلي

Basic Concepts of Synthetic Differential Geometry

نام عام مواد

[Book]

نام نخستين پديدآور

by René Lavendhomme.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1996.

عنوان فروست

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

مشخصه جلد

13

شاپا ي ISSN فروست

0927-4529 ;

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9781441947567

عنوان

Springer eBooks

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Cell aggregation-- Mathematics.

موضوع مستند نشده

Global differential geometry.

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Lavendhomme, René.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301074500.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y