Future Books

Advanced Topics in Calculus

John Hubbard and Barbara Burke Hubbard

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.

Advanced Topics in Calculus: Differential equations (Tentative table of contents)

We am sorry to report a further delay on the differential equations book. We now hope to get the book out by December 2026. As of this writing (June 30, 2026) we are working on the Jordan curve theorem in the Appendix. More work will need to be done on the Appendix and on Chapter 11 and the exercises, and the index will need to be created.

Advanced Topics in Calculus: Inner products, Fourier analysis, wavelets, and orthogonal polynomials

Advanced Topics in Calculus: Differential forms and electromagnetism

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