He is known for Morera's theorem in the theory of functions of a complex variable and for his work in the theory of linear elasticity.
22.
Cartwright was appointed Mistress of Girton in 1948 then, in addition, a Reader in the Theory of Functions in Cambridge in 1959, holding this appointment until 1968.
23.
On 20 June 1966, Vadym Adamyan defended his PhD thesis in functional analysis and the theory of functions specialty at the Institute of Mathematics and Mechanics, Yerevan University.
24.
In 1864 he created a new course on the theory of functions, which he taught until 1869 ( after which it was taught by his student Nikolai Bugaev ).
25.
His Ph . D . thesis titled " Integral and trigonometric series " ( 1915 ) had a large impact on the subsequent development of the metric theory of functions.
26.
During his time at Oxford he met the D . Phil under the supervision of Hardy with a thesis entitled " Applications of the Theory of Functions of a Complex Variable ".
27.
"Theory of functions of a complex variable " : He greatly extended the theory of conformal transformation proving his theorem about the extension of conformal mapping to the boundary of Jordan domains.
28.
He published more than 60 papers on differential equations, Fourier series and the series expansion of orthonormal functions, topology of varieties, real analysis, calculus of variations and the theory of functions.
29.
His publications include " Elementary Treatise on the Theory of Functions " ( 1893 ), with James Harkness; and " Introduction to the Theory of Analytic Functions " ( 1898 ).
30.
"' Complex analysis "', traditionally known as the "'theory of functions of a complex variable "', is the branch of mathematical analysis that investigates mechanical and electrical engineering.