印度数学奥赛选手寻求奥林匹克组合数学入门解题学习资源

Hey there! I totally get how frustrating it can be to hit a wall with combinatorics, especially when you’re prepping for the Indian Math Olympiad (INMO) without a mentor to walk you through tricky problems. Since you already have a solid foundation in core concepts like counting principles, linear homogeneous recursions, binomial/polynomial theorems, and basic graph theory, here are some entry-level problem-focused textbooks that’ll help you build up your combinatorial problem-solving skills step by step:

• "Combinatorics: A Problem-Oriented Approach" by Daniel J. Velleman
  This book is perfect for self-learners because it’s structured entirely around solving problems rather than just dry theory. It takes the foundational concepts you already know and weaves them into practical problem-solving scenarios, with detailed explanations for every step. You’ll learn how to apply counting principles, recursion, and other tools to tackle increasingly complex combinatorial questions—exactly what you need to start cracking INMO-level problems.

• "Principles and Techniques in Combinatorics" by Chen Chuan-Chong and Koh Khee-Meng
  A staple for Olympiad aspirants, this textbook balances thorough explanations with a wide range of practice problems. It builds on your existing knowledge of binomial/polynomial theorems and graph theory, gradually introducing more advanced combinatorial structures and strategies. The exercises are layered, so you can start with straightforward problems to reinforce basics, then move on to Olympiad-style questions that mirror the difficulty of INMO combinatorics problems.

• "A Path to Combinatorics for Undergraduates" by Titu Andreescu and Zuming Feng
  Written by two renowned Olympiad coaches, this book is tailored specifically for students looking to transition from basic combinatorics to competition-level problem-solving. It’s packed with examples and exercises that align closely with the style of INMO questions, and it teaches practical techniques like construction arguments, advanced recursion, and combinatorial proof methods. The clear, conversational tone makes it easy to follow even when you’re learning on your own.

A quick tip to complement these textbooks: since you’re already using AoPS, pair each chapter you study with relevant INMO past problems or forum discussions. Working through a problem, then checking how others approached it, will help you pick up new perspectives and refine your own problem-solving intuition.

内容的提问来源于stack exchange，提问作者QFTheorist