Louis Charles de la Bourdonnais (1795 - 1840) was a French chess master, the strongest player in the early 19th century.
De la Bourdonnais was considered to be the unofficial world champion
(there was no official title at the time) from 1821 until his death in 1840.
The most famous match series, indeed considered as the world championship, was the one against Alexander McDonnell in 1834. The match is covered in detail in the McDonnell page.
References
See also