Edward Charles Titchmarsh
Encyclopedia
Edward Charles "Ted" Titchmarsh (born 1 June 1899 in Newbury
died 18 January 1963 at Oxford
) was a leading British
mathematician.
He was educated at King Edward VII School (Sheffield)
and Balliol College, Oxford
, where he began his studies in October 1917.
He was known for work in analytic number theory
, Fourier analysis and other parts of mathematical analysis
. He wrote several classic books in these areas; his book on the Riemann zeta-function was reissued in an edition edited by Roger Heath-Brown
.
He was Savilian Professor of Geometry
at the University of Oxford
from 1932 to 1963.
Newbury, Berkshire
Newbury is a civil parish and the principal town in the west of the county of Berkshire in England. It is situated on the River Kennet and the Kennet and Avon Canal, and has a town centre containing many 17th century buildings. Newbury is best known for its racecourse and the adjoining former USAF...
died 18 January 1963 at Oxford
Oxford
The city of Oxford is the county town of Oxfordshire, England. The city, made prominent by its medieval university, has a population of just under 165,000, with 153,900 living within the district boundary. It lies about 50 miles north-west of London. The rivers Cherwell and Thames run through...
) was a leading British
United Kingdom
The United Kingdom of Great Britain and Northern IrelandIn the United Kingdom and Dependencies, other languages have been officially recognised as legitimate autochthonous languages under the European Charter for Regional or Minority Languages...
mathematician.
He was educated at King Edward VII School (Sheffield)
King Edward VII School (Sheffield)
King Edward VII School is a secondary school and language college located in Sheffield, South Yorkshire, England. KES, named after the reigning monarch, was formed in 1905 when Wesley College was merged with Sheffield Royal Grammar School on the site of the former on Glossop Road...
and Balliol College, Oxford
Balliol College, Oxford
Balliol College , founded in 1263, is one of the constituent colleges of the University of Oxford in England but founded by a family with strong Scottish connections....
, where he began his studies in October 1917.
He was known for work in analytic number theory
Analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...
, Fourier analysis and other parts of mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
. He wrote several classic books in these areas; his book on the Riemann zeta-function was reissued in an edition edited by Roger Heath-Brown
Roger Heath-Brown
David Rodney "Roger" Heath-Brown F.R.S. , is a British mathematician working in the field of analytic number theory. He was an undergraduate and graduate student of Trinity College, Cambridge; his research supervisor was Alan Baker...
.
He was Savilian Professor of Geometry
Savilian Professor of Geometry
The position of Savilian Professor of Geometry was established at the University of Oxford in 1619. It was founded by Sir Henry Savile, a mathematician and classical scholar who was Warden of Merton College, Oxford and Provost of Eton College, reacting to what has been described as "the wretched...
at the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...
from 1932 to 1963.
Theorems
- Brun-Titchmarsh theorem
- Titchmarsh convolution theoremTitchmarsh convolution theoremThe Titchmarsh convolution theorem is named after Edward Charles Titchmarsh,a British mathematician. The theorem describes the properties of the support of the convolution of two functions.- Titchmarsh convolution theorem :...
- Titchmarsh theorem (on the Hilbert transformHilbert transformIn mathematics and in signal processing, the Hilbert transform is a linear operator which takes a function, u, and produces a function, H, with the same domain. The Hilbert transform is named after David Hilbert, who first introduced the operator in order to solve a special case of the...
) - Titchmarsh–Kodaira formulaSpectral theory of ordinary differential equationsIn mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation...
Publications
- The Zeta-Function of Riemann (1930);
- Introduction to the Theory of Fourier Integrals (1937) 2nd. edition (1948);
- The Theory of Functions (1932) 2nd. edition(1939);
- Mathematics for the General Reader (1948);
- The Theory of the Riemann Zeta-Function (1951);
- Eigenfunction Expansions Associated with Second-order Differential Equations. Part I (1946) 2nd. edition (1962);
- Eigenfunction Expansions Associated with Second-order Differential Equations. Part II (1958);
Awards
- Fellow of the Royal Society, 1931
- De Morgan MedalDe Morgan MedalThe De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the society....
, 1953 - Sylvester MedalSylvester MedalThe Sylvester Medal is a bronze medal awarded by the Royal Society for the encouragement of mathematical research, and accompanied by a £1,000 prize...
, 1955 - Berwick Prize winner, 1956