What are the specific rules and mechanics governing the use of counterspells in Magic: The Gathering?

In Magic: The Gathering, counterspells are instant spells that can be used to stop another spell from being cast or resolve. To use a counterspell, a player must have enough mana to pay its cost. The player can then cast the counterspell in response to the spell they want to counter. The countered spell is then put into its owner's graveyard without resolving. Some counterspells have additional effects, such as drawing cards or returning spells to their owner's hand.