Called Linear Mathematics. Vector Spaces, Linear Methods and Tensors throughout STEM began to be written in 2023.
It is mostly complete, and this webpage is its homepage.
For now, the following Sample Chapters are available for proofreading, comments and questions.
Chapter 0. Introduction. https://wordpress.com/page/conceptsofshape.space/1597
Chapter 1. What is a Vector? https://wordpress.com/page/conceptsofshape.space/1584
Chapter 2. Lines, Planes, Flats and Hyperplanes. https://wordpress.com/page/conceptsofshape.space/1586
Chapter 3. Matrices. https://wordpress.com/page/conceptsofshape.space/1588
Chapter 4. Square Transformation Matrices. https://wordpress.com/page/conceptsofshape.space/1632
Chapter 6. Linear-Algebraic Systems of Inequalities. https://wordpress.com/page/conceptsofshape.space/1627
Chapter 9. Linear Spans-and-Bases. https://wordpress.com/page/conceptsofshape.space/1612
Chapter 10. Affine Spaces. https://wordpress.com/page/conceptsofshape.space/1601
Chapter 11. Convex Subsets and Functions. https://wordpress.com/page/conceptsofshape.space/1606
Chapter 17. NEW as of 01/01/2026 The Rank-Nullity Theorem https://wordpress.com/page/conceptsofshape.space/3992
With time, typos and extras shall appear here, as well as details of where to buy the book from.
We also plan to field the following Chapters here within 2026. “Continuity” and “Toward Topological applications of Calculus”.
Paper counterparts of 5 other Chapters shall be linked to here within 2026. Namely the eigentheory quartet whose long review version I am writing with K. Everard, and “Other arenas of Linear-Algebraic structures”.
Concepts of Shape 