[Math] Books for inequality proofs

Question

I was wondering: what books for proving inequalities are used in universities when studying mathematics (undergraduate)?

I know there are lots of books, but I would like to know which ones are specifically used in math studies.

Thanks in advance.

Answer 1

If you mean what would be suitable reference/resource books for undergraduates to know about, three books I know about that have withstood the test of time are:

Inequalities by Hardy/Littlewood/Pólya

Introduction to Inequalities by Beckenbach/Bellman

Geometric Inequalities by Kazarinoff

Hardy's book is probably too advanced in many places for most undergraduates, but it's such a classic that it has to be included. The other two are less advanced and would be suitable for lower level undergraduates and even good high school students. If you have access to a university library, you can also go to where the Hardy book is shelved and look in the same vicinity for other books on inequalities. For this it doesn't matter whether Hardy's book is checked out, since it's purpose here is simply to position you at the appropriate location in the library stacks.