Differentiable Manifolds : A Theoretical Physics Approach (2nd ed. 2020)

This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way.

Included throughout the book are a collection of exercises of varying degrees of difficulty.

Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject.

Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.