Differentiable Manifolds

The theory of differentiable manifolds extends the application of Rn spaces calculus to sets that do not possess the structure of a normed vector space. This textbook explores the theory of differentiable manifolds while detailing various physics applications.

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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.