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Artículo: AMZ-B0GJ3N69HY
Olympiad Combinatorics: Structure, Strategy, and Problem Solving (Mathematics Elevate Series for Olympiads)
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0.66 kg
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- Olympiad Combinatorics is not a book of tricks. It is a structured training manual for students preparing for national and international mathematical olympiads.The focus is not on memorizing formulas, but on understanding how combinatorial arguments work, how to choose the right method, and how to write clear, Olympiad-grade solutions.This book emphasizes structure, strategy, and reasoning—the skills that separate routine solutions from medal-level thinking.What This Book CoversFundamental counting principlesPigeonhole principle (basic, structural, and extremal forms)Double counting and inclusion–exclusionGenerating functions and recurrence relationsBijections, invariants, and monovariantsThe extremal principleCombinatorial graph theoryThe probabilistic methodStrategy synthesis and Olympiad problem selectionA final gauntlet of problems from AIME to IMO levelEach chapter includes concise theory, progressive worked examples, graded exercises, self-tests, and detailed hints with commentary.Who This Book Is ForThis book is intended for:students preparing for RMO, INMO, USAMO, BMO, CMO, EGMO, IMO, and similar contests,advanced high school and early undergraduate students,teachers, mentors, and serious self-learners.It assumes mathematical maturity and a willingness to think deeply.About the Author: Rishabh Kumar is a mathematics educator and Olympiad mentor, and an alumnus of IIT Guwahati and the Indian Statistical Institute.He is the founder of Mathematics Elevate Academy and the author of multiple volumes in the Mathematics Elevate Series for Olympiads.
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