John William Draper publishes History of the Conflict between Religion and Science
Mathematics
Georg Cantor's paper, "Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen" ("On a Property of the Collection of All Real Algebraic Numbers"), published in Crelle's Journal, considered as the origin of set theory[6]
Sofia Kovalevskaya is awarded a doctorate in mathematics at the University of Göttingen, the first woman in Europe to hold that degree. Her submission includes a paper on partial differential equations containing a presentation of the Cauchy-Kovalevski theorem.[8]
Franz Brentano publishes Psychologie vom Empirischen Standpunkte (Psychology from an Empirical Standpoint)
Technology
May 20 – Levi Strauss and Jacob Davis receive a United States patent for blue denim jeans with copper rivets
July 1 – Sholes and Glidden typewriter, with cylindrical platen and QWERTY keyboard, first marketed, in the United States
July 4 – official opening of Eads Bridge (combined road and rail steel arch) over the Mississippi River at St. Louis, Missouri, designed by James B. Eads. It is the longest arch bridge in the world at this time, with an overall length of 6,442 feet (1,964 m); the first use of true steel as a primary structural material in a major bridge project;[13] the first built using cantilever support methods exclusively; and the first major project to make use of pneumatic caissons.
^Elston, M. A. (2004). "Edinburgh Seven (act. 1869–1873)". Oxford Dictionary of National Biography. Oxford University Press. Retrieved 2011-01-28.
^Autobiography of A. T. Still. Rev. ed., Kirksille, MO (1908).
^Maxwell, James Clerk; Harman, P. M. (2002), The Scientific Letters and Papers of James Clerk Maxwell, Volume 3; 1874-1879, Cambridge University Press, ISBN 0-521-25627-5, p. 148: "I have just finished a clay model of a fancy surface, showing the solid, liquid, and gaseous states, and the continuity of liquid and gaseous states." (letter to Thomas Andrews, November 1874).
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