Cayley addressed the Annual General Meeting of the London Mathematical Society with the lecture whose title is given below, but it was not stated as being related to the end of his presidency. Spottiswoode read the paper with title as given below:-

... on vacating the office of President of the Society.

From 1876 to 1882 the president gave a "valedictory address" at the end of his term of office. From 1886 a "Presidential Address" was given and this remained the name of the lecture given by a president at the end of their term of office. Not every President has given a presidential address, for example J E Littlewood did not give an address in 1943.

We list the name of the president, the date of the Presidential Address and the title of the lecture.

A Cayley - 10 November 1870

Sketch of Recent Researches upon Quartic and Quintic Surfaces.

W Spottiswoode - 14 November 1872

Remarks on some Recent Generalizations of Algebra.

T A Hirst - 12 November 1874

On Correlation in Space.

H J S Smith - 9 November 1876

On the Present State and Prospects of some Branches of Pure Mathematics.

Lord Rayleigh - 14 November 1878

On the Instability of Jets.

C W Merrifield - 11 November 1880

Considerations respecting the Translation of Series of Observations into Continuous Formulae.

S Roberts - 9 November 1882

Remarks on Mathematical Terminology and the Philosophical Bearing of recent Mathematical Speculations concerning the Realities of Space.

J W L Glaisher - 11 November 1886

The Mathematical Tripos.

Sir James Cockle - 8 November 1888

On the Confluences and Bifurcations of certain Theories.

J J Walker - 13 November 1890

On the Influence of Applied on the Progress of Pure Mathematics.

A G Greenhill - 10 November 1892

Collaboration in Mathematics.

A B Kempe - 8 November 1894

Mathematics.

P A MacMahon - 12 November 1896

Combinatory Analysis: A Review of the Present State of Knowledge.

E B Elliott - 10 November 1898

Some Secondary Needs and Opportunities of English Mathematicians.

Lord Kelvin - 8 November 1900

On the Transmission of Force through a Solid.

E W Hobson - 13 November 1902

On the Infinite and the Infinitesimal in Mathematical Analysis.

H Lamb - 10 November 1904

Deep-Water Waves.

A R Forsyth - 8 November 1906

Partial Differential Equations: some Criticisms and Suggestions.

W Burnside - 12 November 1908

On the Theory of Groups of a Finite Order.

Sir William Niven 10 November 1910

The Relations of Mathematics and Experimental Science.

H F Baker - 12 December 1912

On Recent Advances in the Theory of Surfaces.

A E H Love - 12 November 1914

Mathematical Research.

Sir Joseph Larmor - 2 November 1916

Address by the Retiring President.

J E Campbell - 11 November 1920

Einstein's Theory of Gravitation as an Hypothesis in Differential Geometry.

H W Richmond - 9 November 1922

The Mathematical Problems of Shell-Flight.

W H Young - 13 November 1924

The Progress of Mathematical Analysis in the Twentieth Century.

A L Dixon - 11 November 1926

Interpolation forms in the algebra of invariants.

G H Hardy - 8 November 1928

Prolegomena to a chapter on inequalities.

E T Whittaker - 14 November 1929

Parallelism and teleparallelism in the newer theories of space.

S Chapman - 12 November 1931

Tides in the atmosphere.

A C Dixon - 16 November 1933

The problem of the rectangular plate.

G N Watson - 14 November 1935

The Final Problem: an account of the mock theta functions.

G B Jeffrey - 18 November 1937

Mathematical studies in the modern universities.

E A Milne - 15 December 1939

Kinematic Relativity.

L J Mordell - 15 November 1945

Thoughts on number-theory.

E C Titchmarsh - 27 November 1947

Analysis for Physicists.

W V D Hodge - 17 November 1949

Some recent developments in the theory of algebraic varieties.

M H A Newman - 15 November 1951

Fixed point and coincidence theorems.

G Temple - 20 November 1952 (at the end of his first one-year term),

Theories and applications of generalized functions.

J H C Whitehead - 17 November 1955

Duality in topology.

P Hall - 21 November 1957

Some word-problems.

H Davenport - 19 November 1959

Some recent progress in analytic number theory.

H A Heilbronn - 16 November 1961

Old theorems and new methods in class-field theory.

M L Cartwright - 21 November 1963

From non-linear oscillations to topological dynamics.

A G Walker - 18 November 1965

Harmonic spaces in differential geometry.

G Higman - 16 November 1967

Odd characterisations of finite simple groups.

J A Todd - 20 November 1969

As it might have been.

C A Rogers - 16 November 1972

The surface of a convex body.

D G Kendall - 21 November 1974

The genealogy of genealogy: branching processes before (and after) 1873.

M F Atiyah - 19 November 1976

The unity of mathematics.

J W S Cassels - 17 November 1978

The Spitalfields Mathematical Society.

C T C Wall - 21 November 1980

Stability, pencils and polytopes".

B E Johnson - 19 November 1982

Non-commutative generalizations of mathematics.

P M Cohn - 16 November 1984

Fractions.

I M James - 21 November 1986

Spaces.

E C Zeeman - 18 November 1988

On the classification of dynamical systems.

J H Coates - 16 November 1990

Elliptic curves with complex multiplication and lwasawa theory.

J F C Kingman - 20 November 1992

Poisson processes and random sets; thoughts on a theorem of Rényi.

J R Ringrose - 18 November 1994

The Cohomology of Operator Algebras: a Survey.

N J Hitchin - 15 November 1996

A Lecture on the Octahedron.

J M Ball - 20 November 1998

The mystery of quasiconvexity.

M J Taylor - 24 November 2000

L-functions and Euler Characteristics.

J T Stuart - 22 November 2002

Hydrodynamic Stability and Singularities.

P Goddard - 19 November 2004

Infinite dimensional symmetry.

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JOC/EFR August 2011

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