The Colorado Mathematical Olympiad and Further Explorations

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 Gr¼nbaum, 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 ErdÅ's

"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 RÄdulescu, Zentralblatt MATH, Vol. 1215, 2011)