Finance is a field that deals with the study of investments. It includes the dynamics of assets and liabilities over time under conditions of different degrees of uncertainties and risks. Finance can also be defined as the science of money management. Market participants aim to price assets based on their risk level, fundamental value, and their expected rate of return. Finance can be broken into three sub-categories: public finance, corporate finance and personal finance.
Management (or managing) is the administration of an organization, whether it is a business, a not-for-profit organization, or government body. Management includes the activities of setting the strategy of an organization and coordinating the efforts of its employees (or of volunteers) to accomplish its objectives through the application of available resources, such as financial, natural, technological, and human resources. The term "management" may also refer to those people who manage an organization.
You manage things, you lead people. We went overboard on management and forgot about leadership. It might help if we ran the MBAs out of Washington.
Grace Hopper (1987), quoted in "The Wit and Wisdom of Grace Hopper" by Philip Schieber, OCLC Newsletter, No. 167 (March/April 1987)