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ADVANCED PROBLEM SOLVING for AMC, AIME, Math Olympiads & Competitive Mathematics: A Complete Training Program in Algebra, Number Theory, Geometry, Com
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Publisher: Independently Published
Published: Jun 9 2026
Pages: 246
Weight: 0.95
Height: 0.52 Width: 7.00 Depth: 10.00
Language: English
Master the Art of Mathematical Problem Solving and Compete at the Highest Level
Success in mathematics competitions is not about memorizing formulas-it's about learning how to think. Advanced Problem Solving for Competitive Mathematics is a comprehensive training program designed to help students develop the problem-solving skills, mathematical intuition, and strategic thinking needed to excel in AMC 8, AMC 10, AMC 12, AIME, MathCounts, and mathematical olympiads.
Unlike traditional textbooks that focus on procedures, this book teaches the mindset of successful competitors. Through carefully structured lessons, fully worked examples, guided practice, challenge problems, and competition-style mock examinations, students learn how to recognize patterns, select effective strategies, and solve unfamiliar problems with confidence.
Inside this book, you will learn:
- Advanced algebraic techniques and functional equations
- Number theory, divisibility, modular arithmetic, and Diophantine equations
- Classical and advanced geometry, including circle geometry, homothety, inversion, and radical axes
- Counting methods, combinatorics, recursion, and generating functions
- Probability techniques used in high-level competitions
- Mathematical proofs, invariants, induction, contradiction, and extremal arguments
- AMC, AIME, and Olympiad problem-solving strategies
- Time-management techniques for competitive examinations
- Step-by-step solutions with clear explanations
- Progressive difficulty ladders and guided hint systems
- Full-length practice sets and timed mock contests
This book also includes advanced geometry toolkits, proof workshops, contest challenge sections, training plans, reference appendices, and a complete competition toolbox for rapid review.
Whether you are preparing for your first AMC exam, aiming to qualify for the AIME, or developing olympiad-level problem-solving skills, this book provides a structured path from foundational techniques to advanced mathematical mastery.
Prepare smarter. Solve better. Compete stronger.
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