Free Textbooks

Mastering AMC 8

The Mastering AMC 8 book covers the most important concepts on the AMC 8 exam with video lectures for every topic and hundreds of practice problems with video solutions. This includes problems from AMC 8, MATHCOUNTS, BmMT, EMCC, and many original problems.

• Combinatorics
• Algebra
• Number Theory
• Geometry

Award: The National Museum of Mathematics organizes the Strogatz Prize for Math Communications, which awarded an honorable mention to the Mastering AMC 8 book.

Updated: May 31, 2026

Mastering AMC 10/12

The Mastering AMC 10/12 book covers the most important concepts on the AMC 10/12 exam with video lectures for every topic and hundreds of practice problems with video solutions.

• Combinatorics
• Algebra
• Number Theory
• Geometry
• Logarithms
• Trigonometry
• Complex Numbers

Updated: May 31, 2026

The Book of Mathematical Formulas & Strategies

This book covers the most popular mathematical formulas and strategies. This book is a 140+ page collection of the most important theorems, formulas, and strategies for math competitions. This book should serve as a reference guide for quick review before any math competition, and should be useful for competitions like AMC 8, AMC 10/12, MATHCOUNTS, and AIME.

• Algebra
• Number Theory
• Combinatorics
• Geometry
• Trigonometry
• Logarithms
• Complex Numbers

Updated: May 31, 2026

Limerse Calculus

The Limerse Calculus book uses immersive visual explanations and interactive examples so you can watch every idea take shape and unfold, from limits and derivatives to integrals and series.

• Limits & Continuity
• Derivatives
• Applications of Derivatives
• Integration
• Integration Techniques
• Solids of Revolution
• Differential Equations
• Parametric & Polar
• Series