The Colorado Mathematical Olympiad and Further Explorations

From the Mountains of Colorado to the Peaks of Mathematics

  • Alexander Soifer

Table of contents

  1. Front Matter
    Pages i-xxxix
  2. The First Ten Years

  3. Further Explorations

    1. Front Matter
      Pages 139-139
    2. Alexander Soifer
      Pages 141-141
    3. Alexander Soifer
      Pages 143-144
    4. Alexander Soifer
      Pages 153-154
    5. Alexander Soifer
      Pages 155-158
    6. Alexander Soifer
      Pages 159-163
    7. Alexander Soifer
      Pages 165-165
    8. Alexander Soifer
      Pages 167-169
    9. Alexander Soifer
      Pages 171-172
    10. Alexander Soifer
      Pages 173-178
  4. The Second Decade

  5. Further Explorations of the Second Decade

    1. Front Matter
      Pages 321-321
    2. Alexander Soifer
      Pages 325-326
    3. Alexander Soifer
      Pages 327-331
    4. Alexander Soifer
      Pages 333-336
    5. Alexander Soifer
      Pages 351-355
    6. Alexander Soifer
      Pages 357-359
    7. Alexander Soifer
      Pages 367-368

About this book


This book presents the 20-year account of the Colorado Mathematical Olympiad — its dreams and rewards, hard work and conflict. It features more than just original wonderful problems and their ingenious solutions; it tells a compelling story involving the lives of those who have been part of the Olympiad. The reader will meet Olympians and follow their paths as professionals. In the vast field of competition books, this book is unique, for it builds bridges between Olympiads and “real” mathematics by demonstrating through 20 “Further Explorations,” the trains of mathematical thought, showing how a solved Olympiad problem gives birth to deeper problems and leads to the forefront of mathematical research full of striking results and open problems.

Like Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph.

— Cecil Rousseau Chair, USA Mathematical Olympiad Committee

 ... this book is not so much mathematical literature as it is literature built around mathematics… with the Further Explorations sections, anyone so inclined could spend a lifetime on the mathematics sprouting from this volume.

—Peter D. Johnson, Jr., Auburn University

I finished reading the book in one sitting – I just could not put it down. Professor Soifer has indebted us all by first making the effort to organize the Colorado Mathematical Olympiads, and then making the additional effort to tell us about it in such an engaging and useful way.

—Branko Grünbaum, University of Washington

A delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved.

—Paul Erdős

The book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise.

—Martin Gardner


Erdös problem Schur theorem algebra colored plane convex figures currentjmb high school problem solving

Authors and affiliations

  • Alexander Soifer
    • 1
  1. Colorado Springs, College of Letters, Arts, and SciencesUniversity of ColoradoColorado SpringsUSA

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