The Diophantine Equation Handbook

"Find all integer solutions for x and y..."

This single phrase terrifies math students more than any other.

In high school algebra, you are taught to solve equations for real numbers. But in the AMC 10/12, AIME, and USAMO, you are often restricted to integers. Standard methods fail here. You cannot just graph it.

Most students resort to "Guess and Check." They waste valuable minutes plugging in numbers.

The Diophantine Equation Handbook is the antidote to guessing. Written by Rohan Kumar Singh (IIT Madras Alumnus & International Olympiad Gold Medalist), this book classifies every major type of integer equation and provides a specific algorithm to solve it.

THE TOOLKIT YOU WILL MASTER:

• Linear Diophantine Equations: The Euclidean Algorithm method to solve $ax + by = c$.

• Factorization Hacks: Mastering SFFT (Simon’s Favorite Factoring Trick).

• Modular Arithmetic: Using "Modulo Math" to prove no solutions exist.

• The Heavy Artillery: Bounding techniques, Infinite Descent, and Pell’s Equation.

THE EDUGLOBAL METHOD

This is not a dry theorem book. It is a field manual for competitors, based on the curriculum at EduGlobal Institute:

1. Type Recognition: Learn to look at an equation and instantly know the strategy.

2. Algorithmic Solutions: Step-by-step protocols.

3. Olympiad Archives: Practice with hand-picked problems.

ABOUT THE AUTHOR

Rohan Kumar Singh is the Founder & Chief Mentor at EduGlobal Institute. An IIT Madras Alumnus and International Olympiad Gold Medalist, Rohan specializes in teaching the "hidden logic" behind high-level mathematics.

• 2,400+ Students Mentored

• 460+ Olympiad Rankers

• 700+ AP 5/5 Scores

Stop guessing. Start solving.

Master Diophantine Equations today.