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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 1870.
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