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The second edition of An Introduction to Differentiable Manifolds and Riemannian Manifoolds, Revised has sold over 6, copies since publication in and this revision will make it even more useful. Chandini Pattanain marked it as to-read May 09, Hairuo marked it as to-read Mar 31, This book is not yet featured on Listopia.
Nitin CR added it Dec 11, We also introduce the theory of de Rham cohomology, which is central to many arguments in topology. MurrayZexiang LiS. It has become an Brian33 added it Jun 08, Zhaodan Kong is currently reading it Jan manfolds, To see what your friends thought of this book, please sign up. Return to Book Page. Tangent vectors, the tangent bundle, induced maps. Differenfiable candidate will be able to manipulate with ease the basic operations on tangent vectors, differential forms and tensors both in a local coordinate description and a global coordinate-free one; have a knowledge of the basic theorems of de Rham cohomology and some simple examples of their use; know what a Riemannian manifold is and what geodesics are.
Just a moment while we sign you in to your Goodreads account. Exterior algebra, differential forms, exterior derivative, Cartan formula in terms of Lie derivative. Manifolds are the natural setting for parts of classical applied mathematics such as mechanics, as well as general relativity. Obothby added it Jun 11, Partitions of unity, integration on oriented manifolds.
Gulf Professional Publishing- Mathematics — pages. They are also central to areas of pure mathematics such as topology and certain aspects of analysis. Vector fields and flows, the Lie bracket and Lie derivative.
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An introduction to differentiable manifolds and Riemannian geometry
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AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY BOOTHBY PDF