عنوان

Diffeology /

شابک

0821891316

شابک

9780821891315

شماره

b416414

عنوان اصلي

Diffeology /

نام عام مواد

[Book]

نام نخستين پديدآور

Patrick Iglesias-Zemmour

نام خاص و کميت اثر

xxiii, 439 pages ;

ابعاد

26 cm

عنوان فروست

Mathematical surveys and monographs ;

مشخصه جلد

v. 185

متن يادداشت

Includes bibliographical references

متن يادداشت

Chapter 1. Diffeology and Diffeological Spaces -- Chapter 2. Locality and Diffeologies -- Chapter 3. Diffeological Vector Spaces -- Chapter 4. Modeling Spaces, Manifolds, etc. -- Chapter 5. Homotopy of Diffeological Spaces -- Chapter 6. Cartan-De Rham Calculus -- Chapter 7. Diffeological Groups -- Chapter 8. Diffeological Fiber Bundles Chapter 9. Symplectic Diffeology

بدون عنوان

0

متن يادداشت

"Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, coproducts, subsets, limits, and colimits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the foundations of the main fields of differential geometry used in theoretical physics: differentiability, Cartan differential calculus, homology and cohomology, diffeological groups, fiber bundles, and connections. The book ends with an open program on symplectic diffeology, a rich field of application of the theory. Many exercises with solutions make this book appropriate for learning the subject."--Publisher's website

موضوع مستند نشده

Algebraic topology

موضوع مستند نشده

Differentiable manifolds

موضوع مستند نشده

Global differential geometry

موضوع مستند نشده

Symplectic geometry

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Iglesias-Zemmour, Patrick,1953-

تاريخ عمليات

20150226102250.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y