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.