Although he never published more than the 24 pages of the Appendix , he left more than 20,000 pages of mathematical manuscripts when he died .
In addition to his work in geometry , Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs of real numbers .
Although Bolyai never published more than the 24 pages of the Appendix , Bolyai left more than 20,000 pages of mathematical manuscripts when Bolyai died .
In addition to his work in geometry , Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs of real numbers .