A simple listing of arcane spells and the traders you can buy them from:

Burne - Hommlet:

Cantrips:

Detect Magic
Ray Of Frost

1st Level:

Chill Touch
Color Spray
Hold Portal
Identify
Mage Armor
Magic Missile
Shield
Shocking Grasp
Sleep
True Strike

2nd Level:

Blur
Invisibility
Melf's Acid Arrow
Protection From Arrows
Resist Energy
See Invisibility
Web

3rd Level:

Blink
Dispel Magic
Hold Person
Lightning Bolt
Slow

4th Level:

Charm Monster
Dimension Door
Fear
Globe Of Invulnerability, Lesser
Ice Storm
Invisibility, Greater
Remove Curse

5th Level:

Cone Of Cold
Feeblemind
Hold Monster
Teleport

Skole - Nulb:

2nd Level:

Fox's Cunning
Invisibility
Knock

Lodriss - Nulb:

2nd Level:

Knock

3rd Level:

Lightning Bolt

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