New Problems and Solutions for International Mathematical Competitions and Olympiads

The book "New Problems and Solutions for International Mathematical Competitions and Olympiads" provides good experiences for those students who are enthusiastic in thinking and fighting with problems that are famous in the global fields. The problems of the book have been designed ingeniously and selected carefully from thousands of potent problems and notes from many years ago up to now, as to make a basis of important key- problems which contains multiple ideas in Number's Theory Combinatorics Geometry Mathematics Analysis Complex Numbers Geometry and etc. I have tried to solve them in a clear way such that nearly all the steps have been explained. The problems may first be appeared as related to an obvious class whereas in the solution, lots of joint ideas are essential to solve. The feature which makes this book different from similar books is the fact that I have established a firm structure here which includes almost all dimensions necessary for both university and high school students to direct their acquired ideas and, in the terms of mathematics, to make a complete graph of them."