Business
Business is the activity of making one's living or making money by producing or buying and selling goods or services. Simply put, it is "any activity or enterprise entered into for profit. It does not mean it is a company, a corporation, partnership, or have any such formal organization, but it can range from a street peddler to General Motors." The term is also often used colloquially (but not by lawyers or public officials) to refer to a company, but this article will not deal with that sense of the word.
Leadership
Leadership is both a research area and a practical skill encompassing the ability of an individual or organization to "lead" or guide other individuals, teams, or entire organizations. Specialist literature debates various viewpoints, contrasting Eastern and Western approaches to leadership, and also (within the West) United States versus European approaches. U.S. academic environments define leadership as "a process of social influence in which a person can enlist the aid and support of others in the accomplishment of a common task". Leadership seen from a European and non-academic perspective encompasses a view of a leader who can be moved not only by communitarian goals but also by the search for personal power.
Management
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.
Business
An artisan busies himself with his work for three hours each day and spends nine hours in study.
Maimonides, Treatise 3: “The Study of the Torah,” Chapter 1, Section 12, H. Russell, trans. (1983), p. 52
Leadership
We herd sheep, we drive cattle, we lead people. Lead me, follow me, or get out of my way.
George S. Patton, as quoted in Pocket Patriot : Quotes from American Heroes (2005) edited by Kelly Nickell, p. 157
Management
Mission is at the heart of what you do as a team. Goals are merely steps to its achievement. Mission has an eternal quality. Goals are time bound and once achieved, are replaced by others.
Patrick Dixon (2005) Building a Better Business - the key to management, marketing and motivation. p. 66