Augustus De Morgan was born on June 27, 1806 in Madura, India, the son of a British army officer. The family returned to England when Augustus was seven months old. De Morgan was educated at Trinity College, Cambridge University. In 1827, he was appointed chair of mathematics at the newly formed University College, London, a position he was to hold off and on until 1866. De Morgan was a co-founder of the London Mathematical Society and the first president of the society.
De Morgan wrote a number of popular mathematics books including Elements of Arithmetic (1830), Trigonometry and Double Algebra (1836), The Differential and Integral Calculus (1836), and A Budget of Paradoxes (1872). In addition, he wrote over 700 articles for the Penny Cyclopaedia. De Morgan is best known for his development of logic and set theory in a symbolic, algebraic form, extending the work of George Boole. De Morgan's name is associated in particular with the general principle of duality in set theory and logic. In addition, De Morgan was the first to rigorously define mathematical induction.
De Morgan was fond of saying that he was \(x\) years old in the year \(x^2\). He died on March 18, 1871 in London. Can you find \(x\)?