recommendation on books that specializes in inequality(self-study)

Question

I am a student in the second year of university, I study calculus (self -study) through "calculus " by Spivak, and frankly I liked the approach of this book, in parallel with that, I spend my free time trying to prove some of the inequalities that I find on this site or anywhere ( For me, proving the inequality is an entertaining game), my knowledge of the tools used in the inequality is very limited, so I want to learn some of the tools and theories that are used in this subject, so is there a book that specializes in them and studies them in detail?, it would be better if the approach of this book is like approach of of Spivak.

any recommendation,advice,and comment are welcom.

Answer 1

Probably the best go is:

Steele's "The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities".

The title says it all. It is a highly recommended and pedagogical book. Most importantly, since you mention you do self-study, the solutions to all the exercises are in the back of the book.

Answer 2

Like the classic book "The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities", you can also find $ 1)$ and $2) $ interesting

1 ) An Introduction to Inequalities Edwin Beckenbach, Richard Bellman ( Review )

2 ) Algebraic Inequalities: New Vistas MAA Review