Hey guys!
This is my first Brand guide, totally based on Ability Power.
It will not be that long and just include the most important and AWESOME things about the TORCH ON KILLING SPREE.

PROS

• On fire
• Very good harassing
• three nukes
• Easy farming
• If u can time Pyroclasm, it will deal lots of damage
• AWESOME /d /t /j

CONS

• Where the FK is my mana?!
• Not easy to combine the skills, for the beginning of your Brand career
• if you miss the skillshots, he will be useless
• a bit squishy

• Ignite stacks very good on Brand's Passiv Blaze and Executioner to finish an enemy hero.
• Flash is usefull for every hero in the game. Maybe except of Singed, because he needs movement speed for chasing or escaping instead.

• Blaze is Brand's Passive. It will ignite a target, if it gets hit by one of Brand's abilities, dealing 2% of their maximum health as magic damage per second for 4 seconds.
• Sear is a fireball Brand launches. If the target is on fire, it will be stunned for two seconds. In my opinion Sear should be used to stun your enemy, so skill it at level four and max. it by level 14.
• Pillar of Flame is the main skill for Brand, so you should skill it as far as possible. If the target is on fire, the skill will deal 25% additional damage.
• Conflagration conjures an instant blast to an enemy. If the target is on fire, it will hit nearby enemies.
• Pyroclasm: Brand unleashes a devastating torrent of fire to a target that will bounce between enemies, dealing damage each time it bounces. If a target is ablaze, Pyroclasm's missile speed increases. It will bounce up to four times for a total of five hits, and can hit the same enemy up to three times.

Just a few things you should buy for a pure AP Brand:

• Brand eats mana, so Archangel's Staff will help you out of this problem
• two of Rabadon's Deathcap are better than one ;)
• every Brand should have a Void Staff in late game.
• Brand is a bit squishy, so you might do sth. for your defense... Rylai's Crystal Scepter is a good choise.
• FOCUS ON ABILITY POWER

http://www.mobafire.com/league-of-legends/item-purchase-planner#&item=25-1-58-40-35-115-85-98