A corporation is an organization—usually a group of people or a company—authorized by the state to act as a single entity (a legal entity; a legal person in legal context) and recognized as such in law for certain purposes. Early incorporated entities were established by charter (i.e. by an ad hoc act granted by a monarch or passed by a parliament or legislature). Most jurisdictions now allow the creation of new corporations through registration.
Bookkeeping is the recording of financial transactions, and is part of the process of accounting in business. Transactions include purchases, sales, receipts, and payments by an individual person or an organization/corporation. There are several standard methods of bookkeeping, including the single-entry and double-entry bookkeeping systems. While these may be viewed as “real” bookkeeping, any process for recording financial transactions is a bookkeeping process.