- [J]eder Fortschritt in der Theorie der partiellen Differentialgleichungen auch einen Fortschritt in der Mechanik herbeiführen muss.
- Any progress in the theory of partial differential equations must also bring about a progress in Mechanics.
- Vorlesungen über Dynamik [Lectures on Dynamics] (1842/3; publ. 1884) 
- Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case.
- Vorlesungen über analytische Mechanik [Lectures on Analytical Mechanics] (1847/48; edited by Helmut Pulte in 1996)
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