Introduction to Inequalities
نویسنده
چکیده
This is a somewhat modified version of the notes I had prepared for a lecture on inequalities that formed part of a training camp organized by the Association of Mathematics Teachers of India for preparation for the Indian National Mathematical Olympiad (INMO) for students from Tamil Nadu. 1. Basic idea of inequalities 1.1. What we need to prove. An “inequation” is an expression of the form: F ≥ 0 where F is an expression in terms of certain variables. An “inequality”’ is an inequation that is satisfied for all values of the variables (within a certain range). For instance:
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