This is a problem-based book aimed at high-school students interested in mathematical topics related to the ISI and CMI entrance tests as well as Mathematics Olympiads. This book will help students in designing a well-planned pathway to tackle complicated problems from topics such as number theory, combinatorics, algebra, calculus, Euclidean and coordinate geometry, probability and statistics. The problem-solving strategies and pointers described here will help students become confident in mathematics and pave the way to attaining success.

Salient features:

• For students appearing for the ISI and CMI entrance exams as well as Mathematics Olympiads
• Key results at the beginning of every chapter, listing the important definitions, theorems, identities, algorithms, principles, functions and formulae
• Solved examples showcasing different applications of the key results
• Useful tips in the form of tricks and techniques that can be used to solve problems
• Chapter-end exercises comprising multiple choice questions with solutions and subjective questions with hints
• Solved questions from the 2019, 2020 and 2021 ISI B.Math, ISI B.Stat and CMI BSc Math question papers
• Android app with solutions to all chapter-end exercises, questions and solutions from ISI and CMI question papers from 2017 onwards, and questions and solutions from regional and national Olympiads from 2017 onwards

Soudeep Deb is Assistant Professor at the Indian Institute of Management Bangalore, Bengaluru, Karnataka, India.

Debangan Dey is a Visiting Fellow at the National Institute of Mental Health, Bethesda, Maryland, USA.

Preface
Acknowledgements

Chapter 1: Number Theory
Chapter 2: Combinatorics
Chapter 3: Algebra
Chapter 4: Calculus
Chapter 5: Euclidean Geometry
Chapter 6: Coordinate Geometry
Chapter 7: Probability and Statistics
Chapter 8: Miscellaneous
Appendix: Previous Years’ Subjective Questions and Solutions