Monthly Problem Gems

Drawn from sixty-two problems that the author has gathered from the problem pages of The American Mathematical Monthly over roughly twenty years, this volume organizes each chosen problem around one central theme. Every problem carries ideas tied to active current research and is meant to widen the reader's view of mathematics.

The Monthly's problem section is known for posing demanding and engaging questions, and its published problems and solutions form a rich body of material. For each problem, the author presents either his own published solution or a different approach, using the discussion to teach problem-solving techniques. A large glossary of key theorems and formulas is included for quick reference.

The book works as an entry point to the Monthly's problems, offering a launching pad for new ideas and helping readers build their own collection of problems and methods. Its broader aim is to move readers beyond routine exercises toward inventive solutions, showing in a systematic way how to progress from solving a problem to investigating, exploring, and discovering new results.