2nd EDITION
Full Frontal Calculus:
An Infinitesimal Approach
Single-variable calculus, presented with panache: crisp, concise, and with a smoky infinitesimal flavor. Now in its 2nd edition - older, wiser, and 20 pages fatter, mainly on account of more expansive explanations.
Download some excerpts from the 1st edition (prefaces, table of contents, and 3 complete chapters) for free.
Then, after finding you like it, purchase the full text of the new and improved 2nd edition as a paperback at Amazon for $25, or as a pdf at Lulu for $9.
The Dark Art of Linear Algebra:
An Intuitive Geometric Approach
Follow me, O innocent one, into the dark realms. You shall see the future, walk between raindrops, and diagonalize matrices.
You may download a free pdf of some excerpts from DALA
(the prefaces, table of contents, and 3 of the book's 8 chapters). But for the complete text, you must pay with your soul!
No, not with your soul.
You can buy your very own paperback copy for $25 at Amazon.
Or, you can buy an electronic copy (a pdf) for $9 at Lulu.
Precalculus Made Difficult
2nd edition
Algebra, Coordinate Geometry, Functions, and Trigonometry.
Learn 'em well! The fate of the free world depends on it!
All of high-school mathematics in one 200-page textbook.
You can read some free excerpts - prefatory material plus three full chapters - here. If you like what you see, you can support a starving math teacher (or at least one who might have skipped lunch) by purchasing a print copy for $25 at Amazon, or a pdf for $9 at Lulu.
Lobachevski Illuminated
A historical introduction to non-Euclidean geometry developed in the midst of extensive commentary on one the subject's foundational documents: Lobachevski's Theory of Parallels.
Winner of the Mathematical Association of America's Beckenbach Book Prize in 2015.
The book can be purchased at Amazon or from the website of the American Mathematical Society.