عنوان
پدید آورنده
موضوع
رده
QA 613 .L44 2013
QA
613
.
L44
2013
کتابخانه
محل استقرار
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to smooth manifolds
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York; London
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
c2013
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 708 p. : ill
SERIES
Other Title Information
Graduate texts in mathematics
Other Title Information
218
GENERAL NOTES
Text of Note
Includes bibliographical references )p.675-677( and indexes
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
Text of Note
John M. Lee
CONTENTS NOTE
Text of Note
1. Smooth manifolds -- 2. Smooth maps -- 3. Tangent vectors -- 4. Submersions, Immersions, and embeddings -- 5. Submanifolds -- 6. Sard's theorem -- 7. Lie groups -- 8. Vector fields -- 9. Integral curves and flows -- 01. Vector bundles -- 11. The contangent bundle -- 21. Tensors -- 31. Riemannian metrics -- 41. Differential forms -- 51. Orientations -- 61. Integration on manifolds -- 71. De Rham cohomology -- 81. The de Rham theorem -- 91. Distributions and foliations -- 02. The exponential map -- 12. Quotient manifolds -- 22. Symplectic manifolds -- Appendices
TOPICAL NAME USED AS SUBJECT
Entry Element
، Manifolds )Mathematics(
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA
613
.
L44
2013
PERSONAL NAME - PRIMARY RESPONSIBILITY
Dates
0591-
Entry Element
Lee, John M.
Relator Code
AU
TI
