Description
Springer Introduction to Differentiable Manifolds by Serge Lang
Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics_x000D_ Table of contents :- _x000D_
Foreword * Acknowledgments * Differential Calculus * Manifolds * Vector Bundles * Vector Fields and Differential Equations * Operations on Vector Fields and Differential Forms * The Theorem of Frobenius * Metrics * Integration of Differential Forms * Stokes' Theorem * Applications of Stokes' Theorem_x000D_