The Math Problems Notebook

This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. The problems cover many topics, including number theory, algebra, combinatorics, geometry and analysis, and are of varying levels of difficulty. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.