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Saint-Venant worked mainly on mechanics, elasticity, hydrostatics and hydrodynamics. In the 1850s he derived solutions for the torsion of noncircular cylinders. He extended Navier's work on the bending of beams, publishing a full account in 1864. In 1871 he derived the equations for non-steady flow in open channels. He also developed a vector calculus similar to that of Grassmann.
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Tell me about Saint-Venant's work on abstract linear spaces
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