Books
The Mathematical Structures series is being written as several focused books rather than a single volume. That structure has recently been reworked — here is the current shape and where the writing stands.
Geometric Algebra
Status: in active drafting — the current focus.
Introduction to Geometric (Clifford) Algebras. Builds up the foundational multilinear algebra — tensor and exterior algebra — then develops the geometric (Clifford) algebra itself, from the essentials through to more advanced topics. This is the book being written first; material will be posted as it’s ready.
Elements of Mathematical Structure
Status: planned.
The foundational survey of the series: from the categorical viewpoint and basic set theory through enough linear algebra to support the geometric algebra book. Broad and structural rather than exhaustive — where the series’ methodology is set. Planned to follow the geometric algebra book.
Category Theory
Status: reference, in progress.
Maintained as a reference on category theory used across the series, rather than a standalone course. Its opening chapter is posted.
For pace and near-term plans, see the roadmap →.