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Modular Arithmetic Decoded: The Clockwork of Number Theory

The Master Guide for AMC 10/12, AIME, USAMO, and Cryptography Math

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Unlock the Secret Language of Numbers.

Number Theory is often called the "Queen of Mathematics," and Modular Arithmetic is her language. From the simple act of telling time to the complex RSA encryption algorithms that secure the internet, modular arithmetic is the invisible clockwork running our world.

In the competitive arena of the AMC 10/12, AIME, and USAMO, modular arithmetic is the "Superpower" that allows top students to tame infinitely large numbers instantly.

Modular Arithmetic Decoded is not just a textbook; it is a tactical guide. Written by Rohan Kumar Singh (IIT Madras Alumnus & International Olympiad Gold Medalist), this book takes you from the basic concept of "Clock Math" to advanced theorems used in Research and Cryptography.

WHAT YOU WILL MASTER:

  • The Basics: Visualize congruences and understand why 12 + 1 = 1 in Modulo 12.

  • The Power Players: Master Fermat’s Little Theorem and Euler’s Totient Theorem to solve impossible exponent problems in seconds.

  • The Solvers: Use the Chinese Remainder Theorem (CRT) and Linear Congruences to crack systems of equations.

  • The Hacks: Learn specific "Speed Strategies" for finding the last digits of massive powers—a favorite topic of the AMC.

THE EDUGLOBAL METHOD

Based on the high-performance curriculum at EduGlobal Institute (home to 230+ Olympiad Rankers), this book uses a unique "Sprint & Check" pedagogy:

  1. Concept Sprints: Rapid, high-yield theory without the fluff.

  2. Coach’s Insights: Exclusive "Speed Hacks" that textbook authors usually hide.

  3. Pitfall Warnings: Red flags for common errors (like dividing in modulo!) that cost students points.

  4. Olympiad Archive: Real problems from AIME, USAMO, and RMO to test your mettle.

ABOUT THE AUTHOR

Rohan Kumar Singh is the Founder & Chief Mentor at EduGlobal Institute. An IIT Madras Alumnus and International Olympiad Gold Medalist, Rohan creates resources that bridge the gap between high school math and research-level brilliance.

  • 1,200+ Students Mentored

  • 230+ Olympiad Rankers

  • 350+ AP 5/5 Scores

Whether you are a high school student aiming for the AIME, a computer science major studying Cryptography, or a math enthusiast, this book is your key to decoding the clockwork of the universe.

Master Modular Arithmetic today.