Ian R. Porteous

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Ian R. Porteous
Born(1930-10-09)9 October 1930
Died30 January 2011(2011-01-30) (aged 80)
NationalityBritish
Alma materUniversity of Cambridge
Scientific career
FieldsMathematics
InstitutionsUniversity of Liverpool
Doctoral advisorW. V. D. Hodge
Michael Atiyah

Ian Robertson Porteous (9 October 1930 – 30 January 2011) was a Scottish mathematician at the

registered charity Mathematical Education on Merseyside which promotes enthusiasm for mathematics through sponsorship of an annual competition.[1]

Family and early life

Porteous was born on 9 October 1930. He was one of six children of Reverend

Early career

Porteous began teaching at the University of Liverpool as a lecturer in 1959, becoming senior lecturer in 1972. During a year (1961–62) at Columbia University in New York, Porteous was influenced by Serge Lang. He continued to do research on manifolds in differential geometry. In 1971 his article "The normal singularities of a submanifold" was published in Journal of Differential Geometry 5:543–64. It was concerned with the smooth embeddings of an m-manifold in Rn.

In 1969 Porteous published Topological Geometry with Van Nostrand Reinhold and Company. It was reviewed in Mathematical Reviews by J. Eells, who interpreted it as a three-term textbook for a sequence in abstract algebra, geometric algebra, and differential calculus in Euclidean and Banach spaces and on manifolds. Eells says "Surely this book is the product of substantial thought and care, both from the standpoints of consistent mathematical presentation and of student's pedagogical requirements." In 1981 a second edition was published with Cambridge University Press.

Later career and works

In 1995 Ian Porteous published Clifford Algebras and the Classical Groups which was reviewed by Peter R. Law.

Terry Wall
. See references to a link where misprints may be found.

The textbook Geometric Differentiation (1994) is a modern, elementary study of

differential geometry of curves and differential geometry of surfaces
. The review by D.R.J. Chillingworth
Faa di Bruno's formula
. Furthermore, the reviewer notes that this mathematics has "connections to optics, kinematics and architecture as well as (more recently) geology, tomography, computer vision and face-recognition." These applications follow from the theories of
contact, umbilical points, ridges, germs, and cusps. Porteous has suggestions for readers wanting to know more about singularity theory. The underlying theme is the study of critical points of appropriate distance-squared functions. A second edition was published in 2001, where the author was able to report on related work by Vladimir Arnold on spherical curves. In fact, Porteous had translated Arnold's paper from the Russian.

Death and legacy

Porteous' commitment to mathematics education can be seen through the work of his charity "Mathematical Education on Merseyside" (see references). As recounted in the book Challenging Mathematics, in 1978 Giblin and Porteous began to organise a Challenge competition for first and second formers in secondary school. By 1989 they were drawing 3,500 participants each year. The competition was held over two weekends in the Spring Term. Students considered six questions in each round. Marking was arranged through the mathematics department of Liverpool University, and prizes were awarded at "an evening of mathematical recreation". Broad participation was encouraged by making half the problems widely accessible. Solutions to the problems appear in their book.

Beyond mathematics, Porteous enjoyed

hill-walking and sang in his church choir. He served as a Liberal councillor on Liverpool City Council
from 1974 to 1978.

He died suddenly of a suspected

heart attack on 30 January 2011.[1][2]

Selected publications

See also

References

External links