Publisher's Synopsis
Providing an accessible insight into the complex subject of differential geometry, this book introduces the reader to the core areas, such as the concept of a differentiable manifold, simplified to aid comprehension. In addition, the book offers a preliminary chapter on calculus on Rn, due to its fundamental importance in relation to a differentiable manifold. Alongside this, concepts such as tangent and cotangent bundles and tensor algebra are introduced in an easily digested manner, with all the details conveyed in the book being tried and tested in a class-room environment prior to publishing.