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.