For decades, the Oxford MAT (Mathematics Admissions Test) symbolized elite problem‑solving and mathematical maturity. That era has now ended. The University of Oxford no longer requires MAT. In its place, Oxford—along with several other top UK universities—has adopted a new, more standardized admissions testing framework known as UAT UK (University Admissions Tests – UK). UAT […]

Mathematics is not a collection of formulas—it is a language of logic, structure, and precise thinking. The Math By Rishabh Series is created with this belief at its core: to help students master mathematics from first principles to advanced problem-solving, with depth, clarity, and rigor. This series is designed for learners who do not want […]

I am pleased to announce the official release of the Math By Rishabh Series – Calculus, a complete, concept-driven collection designed to build true mathematical understanding from first principles to advanced applications. This series is not a collection of shortcut notes or formula handbooks. It is a systematic learning journey through calculus—structured to develop intuition, […]

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 […]