Commands

Arrows or W A S D: take one step (hold to keep walking). Step into a monster to strike it. Every step is a turn.
1-4: cast your skills (they aim at the nearest seen foe). In menus, 1-5 pick rows.
5, F or X: explore on your own until a foe appears, then walk to the stairs.
Q or H: drink a healing draught. E or M: drink a mana draught.
Enter / Space: OK. In the dungeon: wait a turn, or go down when on the stairs. Skips a guardian intro.
Backspace / Esc / P / B: Back, or pause (Resume, Return to town).
+ / -, the mouse wheel or a two-finger pinch: zoom the camera. Zoom all the way in to drop into a first-person view from the hero's eyes; zoom out to return. V toggles it too, as does View in Choices.
First person: Up / W walks forward (or attacks the foe ahead), Down / S steps back, Left / Right (A / D) turn 90 degrees. Tapping a tile still walks there, and you turn to face the way you walk.
Touch: tap a tile to walk there (tap a foe to fight it). Tap the skill bar, draughts, Explore and Wait/Descend on the picture, or use the pad. Tap a menu row twice to choose it; tap a card to close it.
Choices menu: pause, how to play, new game, sound, difficulty (Novice, Adventurer, Heroic), save slot, view (overhead or first person), graphics quality, theme.