In Abel's third paper, Solutions of some problems by means of definite integrals he gave the first solution of an integral equation. |
His work on algebra was an extension of Abel's work on algebraic functions and their integrals. |
His interpolation used Kepler's concept of continuity, and with it he discovered methods to evaluate integrals. |
Galois, after reading Abel and Jacobi's work, worked on the theory of elliptic functions and abelian integrals. |
Both the peak values and the integrals under the characteristic fluorescence curves were measured. |
In 1823 Abel published papers on functional equations and integrals in a new scientific journal started up by Hansteen. |