The Spellbook is sorted by skill. Each combat skill (Might, Precision, Arcana, Guard, Restoration) has its own section with its icon and your current level, and spells inside it are listed in the order you unlock them. Click a section's header to fold it away; the Spellbook remembers which ones you folded.
Show All, Unlocked or Locked spells, or search by name, skill, role or weapon (try "heal", "shield" or "bow").
Locked spells say what they need, such as Arcana 20. Spells that need a certain weapon show a small tag (Staff, Bow / Crossbow, Any melee, Shield) that turns green when you are holding the right one.
See where a spell lives on your hotbar. A spell you have placed shows its key, such as 3 or ⇧3, using your own key bindings. Dragging spells onto either hotbar row works exactly as before.