Differential Geometry of Manifolds

by Stephen Lovett
Price: $79.00
Availability: In stock.

Summary

Intended for undergraduate or beginning graduate students and assuming only prior knowledge of multivariable calculus and linear algebra, this book introduces classical differential geometry of curves and surfaces and proceeds seamlessly to the modern theory of manifolds. The first part of the book introduces the local and global theories of plane curves and then space curves. The middle part studies the extrinsic and intrinsic geometry of regular surfaces, including the Theorema Egregium and the Gauss-Bonnet Theorem. The final chapters develop the notion of a differentiable manifold, study Riemannian manifolds and conclude with applications of manifolds to physics. Collections of exercises at the end of each section and appendices on useful topology and linear algebra background make this book ideal for self-study or use as a textbook.

Details

ISBN: 978-1-56881-457-5
Year: 2010
Format: Hardcover
Pages: 440