- Line and surface integrals
- Divergence and curl of vector fields
Introduction to Manifolds Functions of Several Variables and Mappings Differentiable Manifolds and Submanifolds Vector Fields on a Manifold Tensors and Tensor Fields on Manifolds integration on Manifolds Differentiation on Riemannian Manifolds Curvature
William Boothby received his Ph.D. at the University of Michigan and was a professor of mathematics for over 40 years. In addition to teaching at Washington University, he taught courses in subjects related to this text at the University of Cordoba (Argentina), the University of Strasbourg (France), and the University of Perugia (Italy).