The first paper of our Blog is the famous Penny Cyclopedia article of 1838 by Augustus De Morgan which contains a description of mathematical induction in the form it is used now in mathematical textbooks. PDF file of the paper.
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician and a founder and the first President of the London Mathematical Society. He formulated De Morgan’s laws and is seen as one of the creators of mathematical logic.
The paper was first published in The Penny Cyclopedia of the Society for the Diffusion of Useful Knowledge, vol. 12. London: Charles Knight and Co., 22, Ludgate Street, 1838. A scanned image of the original is available on Google Books, http://tinyurl.com/PennyCyclopedia
Please refer to this paper as A. De Morgan, Mathematical induction. The De Morgan Journal 1 no. 1 (2011), 1–2.