Concepts of height and dimention in Algebraic geometry

Concepts of height and dimention in Algebraic geometry

I'm studying the first chapter of Hartshorne's Algebraic Geometry by
myself and I found this book really hard for a beginner like me, but my
advisor said to me that I had to study Algebraic Geometry by this book
during my vacations. Then any part of the Hartshorne's book which I find
very dry or superficial I search the same subject in another books or
notes available online which are easier to read and have more exemples.
Then my question is where I can find more material of this concept of
dimension and height explained in this page of Hartshorne's book:

Thanks in advance.