Serge Lang
Springer New York
1e druk, 2001
9780387985930
Fundamentals of Differential Geometry
Specificaties
Gebonden, 540 blz.
|
Engels
Springer New York |
1e druk, 2001
ISBN13: 9780387985930
Rubricering
Onderdeel van serie
Graduate Texts in Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises.
From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER
Specificaties
ISBN13:9780387985930
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:540
Uitgever:Springer New York
Druk:1
Inhoudsopgave
I: GENERAL DIFFERENTIAL THEORY. 1: Differential Calculus. 2: Manifolds. 3: Vector Bundles. 4: Vector Fields and Differential Equations. 5: Operations on Vector Fields and Differential Forms. 6: The Theorem of Frobenius. II: METRICS, COVARIANT DERIVATIVES AND RIEMANNIAN GEOMETRY. 7: Metrics. 8: Covariant Derivatives and Geodesics. 9: Curvature. 10: Jacobi Lifts and Tensorial Splitting of the Double Tangent Bundle. 11: Curvature and the Variation Formula. 12: An Example of Seminegative Curvature. 13: Automorphisms and Symmetries. III: VOLUME FORMS AND INTEGRATION. 15: Volume Forms. 16: Integration of Differential Forms. 17: Stokes' Theorem. 18: Applications of Stokes' Theorem. Appendix: The Spectral Theorem.