
1. Tensor Algebras.- 2. Exterior Tensor Powers and Exterior Algebras.- 3. Differential Forms.- 4. Distributions and the Frobenius Theorem.- 5. Integration on Manifolds.- 6. Spherical Harmonics and Linear Representations.- 7. Operators on Riemannian Manifolds.- 8. Bundles, Metrics...

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward...