Introduction to smooth manifolds

John M. Lee

Author has written several excellent "Springer" books. This book is a sequel to "Introduction to Topological Manifolds". It features careful and illuminating explanations, excellent diagrams and exemplary motivation. It includes short preliminary sections before each section explaining what is ahead and why.

「Nielsen BookData」より

Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why

「Nielsen BookData」より

[目次]

  • Preface * Smooth Manifolds * Smooth Maps * Tangent Vectors * Vector Fields * Vector Bundles * The Cotangent Bundle * Submersions, Immersions, and Embeddings * Submanifolds * Lie Groups Actions * Embedding and Approximation Theorems * Tensors * Differential Forms * Orientations * Integration on Manifolds * De Rham Cohomology * The de Rham Theorem * Integral Curves and Flows * Lie Derivatives * Integral Manifolds and Foliations * Lie Groups and Their Lie Algebras * Appendix: Review of Prerequisites * References * Index

「Nielsen BookData」より

[目次]

  • Preface * Smooth Manifolds * Smooth Maps * Tangent Vectors * Vector Fields * Vector Bundles * The Cotangent Bundle * Submersions, Immersions, and Embeddings * Submanifolds * Lie Groups Actions * Embedding and Approximation Theorems * Tensors * Differential Forms * Orientations * Integration on Manifolds * De Rham Cohomology * The de Rham Theorem * Integral Curves and Flows * Lie Derivatives * Integral Manifolds and Foliations * Lie Groups and Their Lie Algebras * Appendix: Review of Prerequisites * References * Index

「Nielsen BookData」より

この本の情報

書名 Introduction to smooth manifolds
著作者等 Lee, John M.
シリーズ名 Graduate texts in mathematics
出版元 Springer
刊行年月 c2003
ページ数 xvii, 628 p.
大きさ 25 cm
ISBN 0387954481
0387954953
NCID BA59235188
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言語 英語
出版国 アメリカ合衆国
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