EPS is net income divided across each share, the profit your single share earned. Diluted EPS uses the fuller share count, including shares that would exist if all stock options and similar rights were exercised, which makes it the more honest version.
The trap is that EPS can rise for two very different reasons: the company earned more, or it bought back shares so the same profit splits fewer ways. Both lift the number; only the first means the business got stronger. So when EPS is growing, always check whether net income itself is growing too, or whether the per-share gain is mostly buyback arithmetic.