WHAT A CHARACTER.
In Hamlet, Shakespeare goes to great lengths to describe the character of Hamlet.  He uses both direct and indirect characterization to help the reader get to know Hamlet.  Here are some examples:
"That grows to seed; things rank and gross in nature
Possess it merely. That it should come to this!
But two months dead: nay, not so much, not two:
So excellent a king; that was, to this,
Hyperion to a satyr; so loving to my mother
That he might not beteem the winds of heaven
Visit her face too roughly. Heaven and earth!
Must I remember? why, she would hang on him,
As if increase of appetite had grown
By what it fed on: and yet, within a month--
Let me not think on't--Frailty, thy name is woman!--
A little month, or ere those shoes were old
With which she follow'd my poor father's body,
Like Niobe, all tears:--why she, even she--
O, God! a beast, that wants discourse of reason,
Would have mourn'd longer--married with my uncle,"
-Shows Hamlet's frustration and anger toward the actions of his uncle and mother without saying that he is angry.
"Seems, madam! nay it is; I know not 'seems.'
'Tis not alone my inky cloak, good mother,
Nor customary suits of solemn black,
Nor windy suspiration of forced breath,
No, nor the fruitful river in the eye,
Nor the dejected 'havior of the visage,
Together with all forms, moods, shapes of grief,
That can denote me truly: these indeed seem,
For they are actions that a man might play:
But I have that within which passeth show;
These but the trappings and the suits of woe."
 -Indirectly shows Hamlet's sorrow towards the death of his father.
"My father's spirit in arms! all is not well;
I doubt some foul play: would the night were come!
Till then sit still, my soul: foul deeds will rise,
Though all the earth o'erwhelm them, to men's eyes."
-Indirectly reveals Hamlet's new drive in his life in the quest to avenge his father
"My fate cries out,
And makes each petty artery in this body
As hardy as the Nemean lion's nerve.
Still am I call'd. Unhand me, gentlemen.
By heaven, I'll make a ghost of him that lets me!
I say, away! Go on; I'll follow thee."
- Hamlet lets himself be guided by a mysterious fore stubbornly ignoring the warnings of Horatio