Introduction to Smooth Manifolds

John M. Lee (Autor)

Buch | Hardcover

645 Seiten

2002
Springer-Verlag New York Inc.
978-0-387-95495-0 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 1.10.2002
• Reihe/Serie: Graduate Texts in Mathematics ; v. 218
• Zusatzinfo: 157 black & white illustrations
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 1040 g
• Einbandart: gebunden
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-387-95495-3 / 0387954953
• ISBN-13: 978-0-387-95495-0 / 9780387954950
• Zustand: Neuware