>"It was in algebraic development that Jacobi's particular power mainly lay, and he made important contributions of this kind in many areas of mathematics, as s

>"It was in algebraic development that Jacobi's particular power mainly lay, and he made important contributions of this kind in many areas of mathematics, as shown by his long list of papers in Crelle's Journal and elsewhere from 1826 onwards.[7] He is said to have told his students that when looking for a research topic, one should 'Invert, always invert' (German original: "man muss immer umkehren"), reflecting his belief that inverting known results can open up new fields for research , for example inverting elliptic integrals and focusing on the nature of elliptic and theta functions.[8]"