How Parametrization Simplifies Complex Problems and Reveals Hidden Structure In calculus, many problems appear complicated not because the mathematics is hard, but because the representation is inefficient. One of the most powerful tools to simplify such problems is the parametric form. Parametric equations allow us to describe curves using a third variable—called a parameter—instead of […]

I am pleased to announce the release of the new edition of Olympiad Combinatorics, a book written for students who want to think like Olympiad mathematicians, not merely apply formulas. This edition represents a complete structural refinement of the book—both in content philosophy and pedagogical design—and reflects years of teaching, mentoring, and observing how strong […]

Inequalities are one of the most decisive and challenging areas of mathematical Olympiads. From national contests to the IMO pathway, inequalities test not just algebraic manipulation but structural insight, symmetry recognition, and strategic thinking. For many students, inequalities are where confidence breaks—or where true mathematical maturity begins. In this article, we explore why inequalities matter […]

The Pigeonhole Principle (PHP) is one of the simplest yet most powerful ideas in mathematics. Despite its elementary statement, it plays a crucial role in Olympiad combinatorics, number theory, and problem-solving. Many high-level problems are cracked by recognizing an underlying pigeonhole structure. This blog explains the principle clearly, builds intuition, and illustrates it with a […]

I am pleased to announce the release of Olympiad Number Theory, a comprehensive book designed for students preparing for national and international mathematics olympiads, as well as for learners seeking long-term mastery of number theory. This book is the result of several years of teaching, mentoring, and refining how number theory should be learned: through […]

Scoring a 6 or 7 in IB DP Mathematics: Analysis and Approaches (AA) Higher Level is not about solving more problems—it is about solving the right problems in the right way. Every year, capable students lose marks not due to lack of intelligence, but due to: This article explains how you can systematically improve your […]

Math By Rishabh Series I am pleased to announce the release of Applications of Differentiation, a new title in the Math By Rishabh Series, a collection of books designed to build strong conceptual foundations and disciplined problem-solving skills in mathematics. This book has been written with a clear objective: to help students understand differentiation not […]