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.

We are sorry to report that we will not meet our December 2025 publication date. We are now aiming for June 2026. Chapters 1-9 are in pretty good shape; as of this writing (Dec. 22 2025) we are working on Chapters 10 and the Appendix. More work will need to be done on Chapter 11 and the exercises, and the index will need to be created.

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

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