Problems from the Book, 3rd Edition

Experience the truly beautiful ideas that immerge from exploring challenging problems! Enjoy a vast array of problems chosen from various competitions and journals as well as classical results of mathematics to behold the gems that pursuing math can bring to light. Students and coaches preparing for national and international competitions will find this book an invaluable resource.

The authors provide a combination of enthusiasm and experience which will delight any reader. They present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths. A truly delightful and highly instructive book, this will prepare the engaged reader not only for any mathematics competition they may enter but also for a life time of mathematical enjoyment. A must for the bookshelves of both aspiring and seasoned mathematicians.

For this third edition the authors added a number of problems and examples. They kept the relative order of the problems for practice in the previous editions (where the problems were ordered by increasing difficulty, even though this is of course is very subjective), the new problems for practice are therefore always at the end, which does not necessarily mean that they are very difficult. Similarly, we added about two or three new examples in most chapters, and corrected a number of typos.

This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.