Functional Equations: A Step-by-Step Guide for the AMC 10/12

"Find all functions f such that f(xy) = f(x) + f(y)..."

For most high school students, this looks like a typo. They are used to solving for x. They have no idea how to solve for a function.

Functional Equations are the "Wild West" of the AMC 10/12 and AIME. There are no standard formulas like the Quadratic Equation. You cannot graph your way out of them. You need creativity, logic, and a specific set of tactical substitutions.

Functional Equations: A Step-by-Step Guide is the first book designed specifically to bridge the gap between school algebra and abstract Olympiad theory. Written by Rohan Kumar Singh (IIT Madras Alumnus & International Olympiad Gold Medalist), it treats Functional Equations not as magic, but as a puzzle with rules.

🚀 WHAT YOU WILL MASTER:

• The Art of Substitution: Learn the "Golden Substitutions" (setting x=0, y=x, etc.) that crack open 80% of problems instantly.

• Properties of Functions: A visual guide to Injectivity (One-to-One) and Surjectivity (Onto)—concepts usually reserved for college math.

• The Classical Theorems: Master Cauchy’s Equation and its variants without getting bogged down in university-level proofs.

• Cyclic & Symmetric Systems: How to handle equations that loop back on themselves.

🧠 THE EDUGLOBAL METHOD
At EduGlobal Institute, we don't teach students to guess. We teach them to investigate:

1. The "Black Box" Approach: Visualize the function as a machine to understand its behavior. 2. Heuristic Search: A flowchart for deciding which numbers to plug in first. 3. The "Check" Phase: Why 50% of students lose points by forgetting to verify their solutions.

👨‍🏫 ABOUT THE AUTHOR
Rohan Kumar Singh is the Founder & Chief Mentor at EduGlobal Institute. An IIT Madras Alumnus and International Olympiad Gold Medalist, Rohan guides students to Ivy League admits and Gold Medals by demystifying the most abstract corners of mathematics.

• 2,400+ Students Mentored

• 460+ Olympiad Rankers

• 700+ AP 5/5 Scores

You don't need a PhD to solve Functional Equations. You just need a strategy.

Scroll up and click "Buy Now" to master Functional Equations today.