**Mathematics**

- Invariant (mathematics), something unaltered by a transformation, for example: taking a homotopy group functor on the category of topological spaces. Then, homeomorphic spaces have isomorphic fundamental group.
- topological invariant

- Invariant (physics), meaning that something does not change under a transformation, such as from one reference frame to another
- The Invariant Society, the Oxford student mathematics society

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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)

“*Mathematics* alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In *mathematics* we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of *mathematics* is in relation to our intelligence.”

—Simone Weil (1909–1943)