Lectures on the Geometrical Anatomy of Theoretical Physics
Frederic P. Schuller
Learn differential forms with Frederic Schuller's "Geometrical Anatomy of Theoretical Physics" lectures. Master theoretical physics concepts.
More resources on Differential Forms
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.
nLab: Differential Forms
The nLab wiki entry on differential forms, written by research mathematicians, defining forms on manifolds and generalizing them to sheaves, graded algebras, and higher geometry. Useful for seeing how exterior derivatives, de Rham theory, and abstract formulations connect after a standard course.
Introduction to Differential Geometry
Learn differential-forms with N J Wildberger's Introduction to Differential Geometry course. Explore key concepts and build a solid foundation.
Differential Forms and Applications
A short Springer Universitext by do Carmo introducing differential forms in Euclidean space and on manifolds, then applying them to integration, Stokes' theorem, and the differential geometry of surfaces. Readers learn to use forms as a working tool in classical geometry.
A Geometric Approach to Differential Forms
An undergraduate text that builds intuition for differential forms geometrically before formalizing them, covering exterior derivatives, integration of forms, and the generalized Stokes theorem. Readers who know multivariable calculus learn to compute with forms and see why vector calculus theorems unify.
nLab
Collaborative wiki for mathematics, physics and philosophy written from a category-theoretic viewpoint, with cross-linked entries on categories, functors, adjunctions, topos theory, higher category theory and homotopy theory. Readers can look up precise definitions, examples and references for advanced structural mathematics.