As a sequel to 113 Geometric Inequalities from the AwesomeMath
Summer Program, this book extends the themes discussed in the
former book and broadens a problem-solver's competitive arsenal.
Strategies from multiple fields, such as Algebra, Calculus, and
pure Geometry provide the reader with varied methods useful in
mathematics competitions. Starting with the fundamentals such as
the triangle inequality and ""broken lines'', the book progresses
increasingly to more sophisticated machinery such as the Averaging
Method, Quadratic Forms, Finite Fourier Transforms, Level Curves,
the Erdoes-Mordell and Brunn-Minkowski Inequalities, as well as the
Isoperimetric Theorem, to name a few. Rich theory and
generalizations accompany the aforementioned topics to supply the
reader with a rigorous exploration of fields associated with
geometric inequalities.
General
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