Should I wear armor as a mage, or will it affect my casting speed?
I really want to start a new campaign in Skyrim again as a mage, being as the last two times I have completed it I have used melee and archery.
Will I get owned by melee enemies because robes have 0 armor rating?
Also, will gauntlets and boots affect my magic or speed? Whenever I kill a mage they never seem to be carrying any armor other than robes. :S
Solution 1:
Wearing gauntlets and boots will not affect your casting speed. The only thing that affects cast speed is whether or not you use dual casting.
However, there are spells in the alteration tree, namely Oakflesh, Stoneflesh, Ironflesh, and EbonyFlesh, that provide armor against physical damage.
On top of that, the Mage Armor perk under alteration can potentially triple the armor effects, so by late game, EbonyFlesh will provide a whooping 300 points of armor. (Still far less than what you can achieve with smithed daedric armor and well short of the armor cap of 567). Note that if you want to utilize the mage armor perk, you cannot wear armor at all.
However, this doesn't mean you can't wear items with enchantments. There are clothing items in the game that you can wear to provide enchantment effects such as improved health, reduced magic cost, etc.
Finally, your biggest ally as a mage will probably be the conjuration line. If you can keep the enemy's attention on your summons, then you don't have to worry about melee enemies at all.
Solution 2:
As explained here, there is a hidden armor rating in addition to displayed armor rating.
There are four slots that supply hidden armor rating.
Chest - 40 points
Head - 20 points
Feet - 20 points
Hands - 20 points
At x hidden armor rating, you'll take y% of incoming physical damage (I'm ignoring displayed armor rating here)
0 rating, 100% damage taken (all cloth or naked)
60 rating, 93% damage taken (robe + 3 armor items)
100 rating, 88% damage taken (all slots have some kind of armor in them)
Armor weight does affect movement speed. Armor does not affect casting speed.
Without wearing armor, you will get destroyed by physical damage. As a mage, your goal should be to avoid incoming physical damage. At first this is done by killing enemies quickly with destruction. Later, it's done by controlling the fight with Illusion or distracting the enemy with Conjuration.
Solution 3:
My character is a pure mage. There are a number of strategies you can use: Currently I basically use a combination of Alteration/Conjuration/Destruction/Healing depending on # of enemies, MP, etc.
For example, I worked to have my descruction skill have the "Impact" perk, which gives dual wielding destruction spells stagger the opponent. Combined with firebolt / ice bolt, this is particularly effective. I've killed a dragon without getting harmed, standing 10 feet away simply by casting this over and over (and over) again. If you misfire though, make sure your healing is up to the task :).
However, another favorite tactic is to summon your strongest Conjured person (currently I have the dremora lord...holy cow that is one awesome summon), cast Oakflesh, and stand back and relax.
Along the same lines, you could probably also build up Illusion and make the enemies fight each other before they turn on you. That way, they're almost totally dead by the time they die.
Personally,I found it a mistake to put points into Mage Armor perk because I wear the Morokei dragon preist mask. Since this has 6 armor, it kills the mage armor perk. But for a mage, +100% magicka regeneration is worth the sacrifice.
In all, there are several strategies depending on which magic you want to focus on.