To truly understand inequalities and develop a foundation of knowledge to solve them well, you must unlock their secrets through a variety of problems and techniques. That is the aim of Secrets in Inequalities.
Chapters 1 – 8 will give the reader exposure to AM-GM inequality, Cauchy-Schwarz and Hölder Inequalities, Chebyshev Inequality, Inequalities with Convex Functions, Abel Formula and Rearrangement Inequality, The Method of Balanced Coefficients, Derivative and Applications, and Symmetric Inequalities. Chapter 9 is dedicated to providing the problems necessary to practice the topics covered in the previous chapters. The reader is encouraged to study the applications of inequalities, build a strong knowledge base, and then try and solve the problems on their own to gain practice and increase understanding.
