They are one and the same. Magic Resistance provides resistance for Fire, Frost, and Shock. The values typically for Magic Resist are lower than a specific Elemental Resist, like Resist Fire. You might Enchant or find an item with 40% Fire Resist, whereas with Magic Resist it might be 15%.
Your best bet for resistance is to use the Lord or Atronach stone. Enchant your Ring and Amulet with Resist Magic from the Shield of Solitude. Make up for the Fire and Frost on specific items that you can Enchant those with. Grab the Resist perks in Alteration if you really need to and if you are say going to be a caster as you will already invest in this tree for Silent Casting probably.
In short, Elemental is usually used to describe a specific element and Magic is used to describe all 3.