Tensor Analysis on Manifolds
by Richard L. Bishop, Samuel I. Goldberg · Dover Publications
A Dover reprint of a classic advanced-undergraduate text that develops tensors on smooth manifolds from topology and linear algebra through differential forms, connections, and Riemannian geometry, with applications to classical mechanics. Readers learn to compute and reason with tensor fields coordinate-free.
This link may earn us a small commission at no extra cost to you. Affiliate disclosure
More resources on Tensors
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Lectures on the Geometrical Anatomy of Theoretical Physics
Learn tensor calculus and its applications in theoretical physics with Frederic Schuller's geometrical anatomy course. Explore tensors geometrically!