A Mathematical Introduction to Diffusion Models by Jianfeng Lu (2026) is now in @ChapterPal's library.
The introduction is a self-contained, proof-oriented mathematical foundation for diffusion models by connecting classical Langevin sampling dynamics to modern continuous and discrete score-based samplers, sampling error bounds, and inference-time control.
Learn diffusion models' math with an AI tutor: https://t.co/WmQiTXmN1r
"Partial Differential Equations" is a free textbook of more than 400 pages intended for students encountering partial differential equations for the first time, after studying multivariable calculus and ordinary differential equations.
The book begins with the motivation and classification of PDEs, initial and boundary-value problems, and first-order equations. It then covers the wave, heat, and Laplace equations, Fourier series and transforms, separation of variables, variational methods, distributions and weak solutions, nonlinear equations, eigenvalues, eigenfunctions, and much more, with clear and rigorous explanations throughout.
The book also includes numerous problems and applications that make advanced theoretical concepts, especially those requiring a greater degree of abstraction, easier to understand.
https://t.co/48MAtsYLgw