AP Calculus AB & BC: The Complete Learner’s Companion — A New Book by Rishabh Kumar
A New Way to Learn AP Calculus I am excited to announce the release of my new book: AP Calculus AB & BC: The Complete Learner’s Companion A Story-Driven, Code-Powered Guide with Practice Problems and Mock Tests Written for students taking AP Calculus AB or AP Calculus BC, this book is designed around a simple […]
AMC 8: More Than a Math Competition — A Gateway to Mathematical Problem Solving
For many middle school students, mathematics is usually presented as a subject of formulas, procedures, homework, and examinations. Then comes the AMC 8. Suddenly, mathematics looks different. A problem may give you a simple-looking diagram, a strange numerical pattern, a counting situation, a probability question, or a seemingly ordinary word problem—and ask you to find […]
The Pain of Authorship: What It Really Takes to Write a Mathematics Book
Writing a mathematics book looks deceptively simple from the outside. A reader opens a book, reads a theorem, studies an example, solves a few exercises, turns the page, and eventually reaches the end. A parent may look at the finished book and think, “This is a textbook. How difficult can it be to write one?” […]
JEE Advanced Mathematics: The Art of Thinking, Learning & Problem-Solving — And Beyond Conventional Solutions
JEE Advanced is not merely a test of mathematical knowledge. It is a test of how you think. Every year, thousands of students prepare for JEE Advanced by studying formulas, solving coaching modules, revising notes, and attempting previous-year questions. Yet only a small fraction develop the mathematical maturity required to consistently perform at the highest […]
Why Geometry Is the Foundation of Mathematical Thinking
Geometry is often introduced as the study of points, lines, angles, triangles, circles, and shapes. At first glance, it may appear to be one branch of mathematics among many—separate from algebra, calculus, probability, or number theory. But geometry is much more fundamental than that. Geometry teaches us how to see mathematics. Before mathematics became dominated […]
JEE Advanced Mathematics Preparation: The Complete Guide to IITs
JEE Advanced Mathematics Preparation | Strategy, Syllabus, Problem-Solving & Expert Guidance The journey to an IIT begins long before the examination hall. For thousands of ambitious students across India and around the world, the Joint Entrance Examination (Advanced) represents one of the most demanding mathematics-based entrance examinations at the school level. But succeeding in JEE […]
Essential Geometry Theorems Every Student Must Know
“Geometry is not just about shapes—it is the art of logical reasoning. Every theorem is a powerful tool that helps us understand the world through patterns, relationships, and proofs.” Geometry is one of the oldest and most beautiful branches of mathematics. From the pyramids of Egypt and the architecture of ancient Greece to modern engineering, […]
How to Understand Algebra Instead of Memorizing
“Algebra is not about memorizing formulas—it’s about learning a language that explains patterns, relationships, and logical thinking.” For countless students, algebra is the point where mathematics suddenly becomes difficult. Arithmetic feels intuitive—numbers are concrete, and operations are familiar. Then algebra arrives with letters, symbols, variables, identities, and equations, leaving many students wondering: “Why are there […]
Mastering the IB Math AA HL Internal Assessment: The Ultimate Guide to Scoring 20/20
By Rishabh KumarAuthor of Mastering the IB Math Analysis and Approaches HL IA: The Complete Guide to Scoring 20/20 in the IB Mathematics Analysis & Approaches Higher Level Internal AssessmentAvailable in Kindle & PaperbackASIN: B0H9S3SXXF The Internal Assessment That Can Change Your Final Grade For many IB Mathematics Analysis & Approaches HL students, the Internal […]
How to Sketch Graphs of Functions Easily: A Complete Guide for Students
“A graph is not just a picture of an equation—it is the visual story of a function.” Whether you’re studying IB Mathematics AA/AI, A-Level Mathematics, AP Calculus, SAT, ACT, or preparing for mathematical olympiads, graph sketching is one of the most valuable mathematical skills you can develop. Unfortunately, many students attempt to memorize graphs individually. […]