This book is a sequel to the 116 Algebraic Inequalities from the
AwesomeMath Year-round Program and 118 Inequalities for Mathematics
Competitions. It delves into other elementary techniques but also
powerful methods and generalizations for constrained optimization
in the theory of inequalities. In the first section, the reader
will encounter each of Abel's, Newton's, Maclaurin's, and Blundon's
inequalities, the method of mathematical induction, the "mixing"
and "stronger mixing" variable methods, and the method of Lagrange
multipliers. The next sections are dedicated to the proposed
problems, which are divided into introductory and advanced. Each
problem is given at least one complete solution, and many problems
have multiple solutions.
General
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