**Mathematics**

- Group (mathematics), a set together with a binary operation satisfying certain algebraic conditions
- Group theory, the study of groups
- Group action, a way of describing the symmetries of objects using groups
- Group isomorphism, a one-to-one correspondence (function) between two groups which respects the given group operations
- Group object, a kind of generalization of a group which is built on more complicated structures than sets

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### Famous quotes containing the word mathematics:

“I must study politics and war that my sons may have liberty to study *mathematics* and philosophy.”

—John Adams (1735–1826)

“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the *mathematics* of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”

—Walter Reisch (1903–1963)

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