written with the reader in mind
The three (or more) volumes of Advanced Topics in Calculus will be a continuation of Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, but it should be possible for any student with sufficient background in linear algebra, multivariable calculus, and differential forms to use them independently. We are currently working on the differential equations book; tentative publication date 2023.
Advanced Topics in Calculus: Differential equations (Tentative table of contents)
Advanced Topics in Calculus: Inner products, Fourier analysis, wavelets, and orthogonal polynomials
Advanced Topics in Calculus: Differential forms and electromagnetism