§ Books for contest math

A personal list of books I wish to study this year, to get better at "problem solving". This is ranked in order of difficulty I wish to spend this year learning nuts and bolts type things.

• Inequalities: an olympid approach --- Nice book, has an axiomatic/algebraic bent.
• Mathematical circles: Russian experience
• The art and craft of problem solving
• Basics of Olympiad Inequalities: Samin Riasat --- quickly covers the big 12.
• Evan chen: A Brief Introduction to Olympiad Inequalities
• Pham Kim Hung: Secrets in Inequalities
• Edwin Beckenback: Introduction to Inequalities
• Nicholas D. Kazarinoff : Geometric inequalities
• Introduction to Functional Equations: Theory and problem-solving strategies for mathematical competitions and beyond
• Combinatorics: Introduction to counting and probability
• Combinatorics: Intermediate counting and probability
• Algebra: 101 Problems in Algebra by Titu Andreescu
• Number Theory Structures, Examples and Problems
• Combinatorics: 102 Combinatorial problems
• Combinatorics: Pablo Soberon’s Problem Solving Methods in Combinatorics
• Geometry: Yufi Zhao: handouts
• Geometry: Trig bashing / Barycentric bashing (evan cheng)
• Problem-solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies
• Problems from the Book
• Straight From the Book
• AoPS list of past problems
• AoPS list of books
• Mathematical problem solving: MIT course