Developed and expanded a generalized theory of integration and differentiation now known as 'Daniell Integral'

Pioneered use of measure and integration in potential theory; pioneer in developing mathematical models of economics

Served as Rice Institute's first President

Rice's 1st PhD, named "Trustees' Distinguished Professor of Mathematics" for long service to Rice

Named 1st female Rice Fellow in Mathematics

Worked in analytic functions and classes of infinitely differentiable functions

Pioneered work on numerical procedures for analyzing complicated differential equations when high speed computational ability was in its infancy

Recognized for profound and seminal contributions to disparate areas of Analysis, including Almost Periodic Functions, Fourier Analysis, Complex Analysis, Lie Groups, Differential Geometry, Partial Differential Equations, Functional Analysis and Probability Theory

Introduced calibrated geometries, including special Lagrangian and exceptional geometry

Developed numerical methods for partial differential equations

Conributed to differential geometry, including exterior differential systems, exceptional holonomy, and Finsler geometry

_{Photos courtesy of Woodsen Research Center, Rice University, Photo Files.}