This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. 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.Problem 3.60. If Q is a given rectangle and Im agt; 0, then Q can be covered by the union of a finite collection S of rectangles with sides parallel to those of Q in such a way that the union of every nonoverlapping subcollection of S has area lessanbsp;...

Title | : | The Math Problems Notebook |

Author | : | Valentin Boju, Louis Funar |

Publisher | : | Springer Science & Business Media - 2007-08-15 |

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