The Colorado Mathematical Olympiad and Further Explorations

From the Mountains of Colorado to the Peaks of Mathematics

Authors: Soifer, Alexander

  • Builds bridges between Olympiads and “real” mathematics by showing how a solved Olympiad problem gives birth to deeper problems and leads to the forefront of mathematical research
  • Appeals to both serious and recreational mathematicians on all levels of expertise
  • Pairs excellent mathematical content with artful exposition
see more benefits

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-75472-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-0-387-75471-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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

Reviews

From the reviews:

"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

“This book is addressed to lower undergraduate students and presents the 20-year account of the Colorado Mathematical Olympiad. The volume under review contains original problems with complete solutions. … Soifer’s treatment is colloquial and could be used for general classroom enrichment as well as for competition preparation. … warmly recommends this book as an introduction to problem solving and the construction of proofs.” (Teodora-Liliana Rădulescu, Zentralblatt MATH, Vol. 1215, 2011)


Table of contents (47 chapters)

  • Colorado Mathematical Olympiad: How it Started and What it has Become

    Soifer, Alexander

    Pages 3-10

  • Three Celebrated Ideas

    Soifer, Alexander

    Pages 11-12

  • First Colorado Mathematical Olympiad: April 27, 1984

    Soifer, Alexander

    Pages 13-25

  • Second Colorado Mathematical Olympiad: April 19, 1985

    Soifer, Alexander

    Pages 27-34

  • Third Colorado Mathematical Olympiad: April 18, 1986

    Soifer, Alexander

    Pages 35-43

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-75472-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-0-387-75471-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Colorado Mathematical Olympiad and Further Explorations
Book Subtitle
From the Mountains of Colorado to the Peaks of Mathematics
Authors
Copyright
2011
Publisher
Springer US
Copyright Holder
Alexander Soifer
eBook ISBN
978-0-387-75472-7
DOI
10.1007/978-0-387-75472-7
Softcover ISBN
978-0-387-75471-0
Edition Number
1
Number of Pages
XL, 408
Number of Illustrations and Tables
167 b/w illustrations, 18 illustrations in colour
Topics