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1860

Delaunay publishes the first volume of

1861

Weierstrass discovers a continuous curve that is not differentiable any point.

1862

Maxwell proposes that light is an electromagnetic phenomenon.

1862

Jevons reads *General Mathematical Theory of Political Economy* to the British Association.

1862

Listing publishes *Der Census raumlicher Complexe oder Verallgemeinerung des Euler'schen Satzes von den Polyedern* which discusses extensions of "Euler's formula".

1863

Weierstrass gives a proof in his lecture course that the complex numbers are the only commutative algebraic extension of the real numbers.

1864

Bertrand publishes *Treatise on Differential and Integral Calculus*.

1864

London Mathematical Society founded. (See this Article.)

1864

Benjamin Peirce presents his work on Linear Associative Algebras to the American Academy. It classifies all complex associative algebras of dimension less than seven using the, now familiar, tools of idempotent and nilpotent elements.

1865

Plücker makes further advances in geometry when he defines a four dimensional space in which straight lines rather than points are the basic elements.

1866

Hamilton's *Elements of Quaternions* is unfinished on his death but the 800 page work which took seven years to write is published posthumously by his son.

1867

Moscow Mathematical Society is founded.

1868

Beltrami publishes *Essay on an Interpretation of Non-Euclidean Geometry* which gives a concrete model for the non-euclidean geometry of Lobachevsky and Bolyai.

1869

Lueroth discovers the "Lueroth quartic".

1870

Benjamin Peirce publishes *Linear Associative Algebras* at his own expense.

List of mathematicians alive in 1860.

List of mathematicians alive in 1870.

JOC/EFR May 2015
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