J. W. S. Cassels
J. W. S. Cassels | |
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Louis Mordell | |
Doctoral students | Bryan John Birch José Felipe Voloch Victor Flynn |
John William Scott "Ian" Cassels, FRS[1] (11 July 1922 – 27 July 2015[2]) was a British mathematician.
Biography
Cassels was educated at Neville's Cross Council School in Durham and George Heriot's School in Edinburgh. He went on to study at the University of Edinburgh and graduated with an undergraduate Master of Arts (MA) degree in 1943.
His academic career was interrupted in
Louis Mordell at Trinity College, Cambridge; he received his PhD in 1949 and was elected a fellow
of Trinity in the same year.
Cassels then spent a year lecturing in mathematics at the
Royal Society of London. In 1967 he was appointed as Sadleirian Professor of Pure Mathematics at Cambridge. In 1969 he became Head of the Department of Pure Mathematics and Mathematical Statistics
. He retired in 1984.
Mathematical work
He initially worked on
alternating form
.
Cassels often studied individual
p-adic methods
.
His publications include 200 papers. His advanced textbooks have influenced generations of mathematicians; some of Cassels's books have remained in print for decades.
Publications
- Cassels, J. W. S. (1957), An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, vol. 45, .
- Cassels, J. W. S. (1997) [1959], An Introduction to the Geometry of Numbers, Springer Classics in Mathematics, Springer-Verlag. Reviewed in .
- Cassels, J. W. S. (1966), "Diophantine equations with special reference to elliptic curves", J. London Math. Soc., 41: 193–291, MR 0199150
- Cassels, J. W. S. (1978), Rational quadratic forms, London Mathematical Society Monographs, vol. 13, London-New York: Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers],
- Cassels, J.W.S. (1981). Economics for mathematicians. London Mathematical Society Lecture Note Series. Vol. 62. Cambridge-New York: Cambridge University Press. pp. xi+145.
- Cassels, J. W. S. (1986), Local fields, London Mathematical Society Student Texts, vol. 3, Cambridge: Cambridge University Press, MR 0861410
- Cassels, J. W. S (1991), Lectures on elliptic curves, London Mathematical Society Student Texts, vol. 24, Cambridge: Cambridge University Press, MR 1144763
- Cassels, J. W. S.; Flynn, E. V. (1996), Prolegomena to a middlebrow arithmetic of curves of genus 2, London Mathematical Society Lecture Note Series, vol. 230, Cambridge: Cambridge University Press, MR 1406090
See also
References
- O'Connor, John J.; Robertson, Edmund F., "J. W. S. Cassels", MacTutor History of Mathematics Archive, University of St Andrews
- ^ a b Dietmann, Rainer; Fisher, Tom; Smyth, Chris; Velani, Sanju (2023). "John William Scott ('Ian') Cassels. 11 July 1922 — 27 July 2015". Biographical Memoirs of Fellows of the Royal Society. 74.
- ^ "LISTSERV - NMBRTHRY Archives - LISTSERV.NODAK.EDU".
- .
- Binmore, Ken(1982) CASSELS, J. W. S., Economics for mathematicians, The Bulletin of the London Mathematical Society, Volume XIV [K. G. Binmore] p 269