The rapid development of natural sciences and technology brings more and more people closer to mathematics on a daily basis, while highlighting the enormous and catalytic role they play in shaping and further evolving the entire structure that bears the significant title "Technical Culture". All scientists-engineers, architects, astronomers, seismologists, doctors, military personnel, as well as lawyers, anthropologists, archaeologists, etc.- but mainly researchers in every scientific field, use mathematics in their work, either at a theoretical level or at the level of applications (Computer Science, statistics). This fact has the immediate consequence of turning all universities towards the search, identification, and promotion of students or students with a special inclination and abilities in mathematics. The simplest institution invented to achieve this purpose is the widespread establishment of school mathematics competitions culminating in mathematical Olympiads and the international mathematical Olympiad.
The first book in the new series focuses on algebraic inequalities. It is the favorite field in all serious competitions. Almost everywhere and always, one topic is inequality. If you wonder why, all you have to do is flip through this book. Inequalities are based on only a few algebraic but fundamental knowledge, but to prove them, a clear mind, methodical thinking, ability, and imagination are required, that is, what is required and rewarded in mathematical competitions.
The book includes:
-Detailed presentation of the theory of inequalities
-Development of techniques for proving inequalities
-Methodology for basic exercise categories
-Numerous solved problems from mathematical competitions and mathematical Olympiads
-Additional exercises with their solutions