Free Online Calculus Text Books
I’ve spent years collecting free math resources, including a variety of calculus text books. Not the sketchy PDFs from torrent sites. Not the scanned copies…
Study Notes
Dedekind’s Theory of Real Numbers
Let $ \mathbf{Q}$ be the set of rational numbers. It is well known that $ \mathbf{Q}$ is an ordered field and also the set $…
20+ Free Algebra Books for Students & Teachers (PDF Ebooks)
Looking for Free Algebra and Topology PDF E-books? I’ve compiled a comprehensive list of high-quality, free e-books covering Algebra, Topology, and other related mathematics topics.…
Jablonski Diagram – Consequences of Light Absorption
When a molecule absorbs light, something has to happen to that energy. It doesn’t just disappear. The molecule can use it for a chemical reaction.…
Essential Steps of Problem Solving in Mathematical Sciences
Problem solving is more than just finding answers. Learning how to solve problems in mathematics is simply to know what to look for. Mathematics problems…
Dirichlet’s Theorem and Liouville’s Extension of Dirichlet’s Theorem
The Gamma function is one of the most important special functions in mathematics. It extends the factorial to non-integer values. The Beta function is its…
The Lindemann Theory of Unimolecular Reactions
Bimolecular reactions make sense. Two molecules collide, bonds break, new bonds form. Simple. But unimolecular reactions? A single molecule just… reacts? Where does the energy…
Wein’s Formula & Wein’s Laws
The problem of energy distribution in black body radiation stumped physicists for years. German physicist Max Planck finally cracked it. But he didn’t work in…
Solving Ramanujan’s Puzzling Problem
Here’s a problem that looks impossible at first glance. You’ve got infinitely many nested square roots, each level multiplied by an increasing integer. How do…
