I am presently working on a book that will be titled “Algebra and Geometry for the Enthusiastic Beginner,” aimed at middle-school and high-school students (along with anyone else who wants to learn algebra and geometry). Like my other self-published books, it will be inexpensive. The completion date will probably be the end of 2023. But in the meantime I’ll periodically post some chapters in draft form. The book will include many examples and solved problems, so it should be great for self-study. It will also include lots of limericks. For now, here’s a draft of Chapter 6 on the Pythagorean theorem (the exercise solutions are at the end of the chapter):

Chapter 6 (Pythagorean theorem)

The tentative list of chapters (which will be divided into two volumes) is:

- Background, Part 1
- Background, Part 2
- Algebra, Part 1
- Algebra, Part 2
- Geometry
- Pythagorean theorem
- Solving for x
- Functions and plotting
- Quadratic equations
- Triangles and cones
- Circles and spheres
- Miscellaneous topics
- Combinatorics
- Slopes
- Trigonometry 1
- Trigonometry 2
- Complex numbers 1
- Complex numbers 2