數學的進步為從事研究的數學家提供了一種有效的媒介，使他們能夠與同事和相關學科的科學家交流其專業領域的重要最新進展，強調了代表純數學所有領域的重大進展的貢獻。

Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.