عنوان

Introduction to smooth manifolds /

شابک

0387954481 (softcover : acid-free paper)

شابک

0387954953 (hardcover : acid-free paper)

شابک

9780387954486 (softcover : acid-free paper)

شابک

9780387954950 (hardcover : acid-free paper)

شماره

dltt

عنوان اصلي

Introduction to smooth manifolds /

نام عام مواد

[Book]

نام نخستين پديدآور

John M. Lee.

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

c2003.

نام خاص و کميت اثر

xvii, 628 p. :

ساير جزييات

ill. ;

ابعاد

25 cm.

عنوان فروست

Graduate texts in mathematics ;

مشخصه جلد

218

متن يادداشت

Includes bibliographical references (p. [597]-599) and index.

متن يادداشت

1. Smooth Manifolds -- 2. Smooth Maps -- 3. Tangent Vectors -- 4. Vector Fields -- 5. Vector Bundles -- 6. Cotangent Bundle -- 7. Submersions, Immersions, and Embeddings -- 8. Submanifolds -- 9. Lie Group Actions -- 10. Embedding and Approximation Theorems -- 11. Tensors -- 12. Differential Forms -- 13. Orientations -- 14. Integration on Manifolds -- 15. De Rham Cohomology -- 16. de Rham Theorem -- 17. Integral Curves and Flows -- 18. Lie Derivatives -- 19. Integral Manifolds and Foliations -- 20. Lie Groups and Their Lie Algebras -- App. Review of Prerequisites.

بدون عنوان

0

متن يادداشت

"This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research - smooth structures, tangent vectors and convectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Along the way, the book introduces students to some of the most important examples of geometric structures that manifolds can carry, such as Riemannian metrics, symplectic structures, and foliations. The book is aimed at students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis."--BOOK JACKET.

موضوع مستند نشده

Manifolds (Mathematics)

موضوع مستند نشده

QA

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Lee, John M.,1950-

تاريخ عمليات

20140220093924.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y