United States Math Olympiad

USAMO — By-Topic-Complete

Pages502

FormatBy Topic

SubjectMathematics

Complete solutions to all USAMO past papers (1972–2025) organized by mathematical theme — combinatorics, number theory, algebra, and geometry — covering over 50 years of proof-based olympiad problems. The highest-level solution book in the catalog, for advanced olympiad students.

Set in LaTeX and typeset like a book worth keeping — a free editorial showcase of Tian2’s original solution work. The complete volume is available on request.

Revised edition, September 2026, on Tian2’s unified mathematics template: all 300 USAMO problems from 1972 to 2025 with 650 worked proof methods. This multi-solution edition runs 502 pages; a single-solution edition (306 pages) is also available.

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Inside the Book

3 sample pages

USAMO — By-Topic-Complete — table of contents — Table of contents

USAMO — By-Topic-Complete — sample solution — Sample solution

Showcase preview. These are reduced-resolution sample pages — the full sellable PDF is not published here. The complete 502-page book is available on request. Every solution is original work by Tian2; original exam questions remain © their respective owners.