A Journey Through My Books

The Math Trap : Common Errors and Mistakes

Shyamalendu Roy

ISBN – 978-81-981825-2-4 | Publication Year – 2025 | Edition – 1st | Paperback | Language – English | Book Size – 140 mm x 210 mm | Territorial Rights – World | Price – ₹150 or $10 | Pages – 96 | Buying Option – Offline and Online

About the Book

This book, The Math Trap – Common Errors and Mistakes is a book that explores how and why mistakes happen in mathematics. Instead of only giving correct methods, it focuses on the hidden errors that often go unnoticed. The book begins with fractions, showing how small misunderstandings in operations can lead to wrong results. It then examines surds and indices, where incorrect use of rules can easily create false simplifications. In algebra, it highlights common traps such as dividing by zero or making invalid assumptions.Trigonometry is discussed with examples where identities are misused or conditions are ignored. The famous illusion  is explained step by step to show how a single wrong step can lead to an impossible conclusion.The book also covers complex numbers, where misconceptions about imaginary quantities may cause errors. Graphs are used as a powerful mathematical tool to check whether a result is correct or not. In geometry, it points out mistakes that arise from wrong constructions or assumptions. Calculus is included to show how limits, derivatives, and integrals can mislead if definitions are not carefully followed.

Overall, the book teaches an important mathematical idea: every step in a solution must be logically valid and based on correct rules. By studying these mistakes, learners develop deeper understanding, better reasoning, and stronger problem-solving skills.

About the Author

Shyamalendu Roy is a distinguished mathematics professional and a C.B.S.E. resource person. He has authored over 20 books to date. A passionate mathematical problem solver, he enjoys creating challenging problems from diverse areas and offering multiple solutions to them. This book reflects his belief in nurturing problem-solving, with problems selected to meet the needs of high school students.

Table of Contents

1. Where Fractions go Wrong
2. Exposing Errors in Surds and Indices
3. The Traps of Algebra
4. Common Mistakes in Trigonometry
5. 1 = 2: The Illusion of Logic
6. Misconceptions in Complex Numbers
7. Graphs as Tools to Detect Errors 
8. Pitfalls in Geometry
9. When Calculus Misleads 
10. Mixed Bag