tailieunhanh - Tuyển tập đề thi vô địch bất đẳng thức thế giới P1

Tuyển tập đề thi vô địch bất đẳng thức thế giới P1 , tài liệu tham khảo, tài liệu gồm các bài toán bất đẳng thức cực khó, với bài tập hay và cách giải được sưu tầm trên thế giói các bạn có đào sâu kiến thức toán về mảng này, Tai liệu được viết bằng tiêng anh. Chúc các bạn học tốt. | a 1 2 b Preface This work blends together classic inequality results with brand new problems some of which devised only a few days ago. What could be special about it when so many inequality problem books have already been written We strongly believe that even if the topic we plunge into is so general and popular our book is very different. Of course it is quite easy to say this so we will give some supporting arguments. This book contains a large variety of problems involving inequalities most of them difficult questions that became famous in competitions because of their beauty and difficulty. And even more importantly throughout the text we employ our own solutions and propose a large number of new original problems. There are memorable problems in this book and memorable solutions as well. This is why this work will clearly appeal to students who are used to use Cauchy-Schwarz as a verb and want to further improve their algebraic skills and techniques. They will find here tough problems new results and even problems that could lead to research. The student who is not as keen in this field will also be exposed to a wide variety of moderate and easy problems ideas techniques and all the ingredients leading to a good preparation for mathematical contests. Some of the problems we chose to present are known but we have included them here with new solutions which show the diversity of ideas pertaining to inequalities. Anyone will find here a challenge to prove his or her skills. If we have not convinced you then please take a look at the last problems and hopefully you will agree with us. Finally but not in the end we would like to extend our deepest appreciation to the proposers of the problems featured in this book and to apologize for not giving all complete sources even though we have given our best. Also we would like to thank Marian Tetiva Dung Tran Nam Constantin Tanasescu Calin Popa and Valentin Vornicu for the beautiful problems they have given us and for .