The Engines. (n.d.). Retrieved July 5, 2019, from https://www.computerhistory.org/babbage/engines/

Summary:  

Charles Babbage, one of the first computer pioneers, designed two different types of engines (or mechanical computers).  The Difference Engines did were only for calculations – very simply used addition to calculate the answers. The Analytic Engines were designed for more than calculations, but for general-purpose computations (intricate calculations).  This design had many features found in modern computers: “looping (iteration), microprogramming, parallel processing, iteration, latching, polling, and pulse-shaping…”, to name a few.

Things Learned:

Babbage never did complete a working model; he did have test models and partially completed ones as well as his written designs.  Difference Engine No. 1, was one-seventh complete in his lifetime, and the demonstration piece contained about 2,000 moving parts.

My Question:

This answered my question about mathematical thinking as the history of computers is all about logical thinking and finding patterns.  The Analytic Engine displayed what can be done when mathematical thinking is put into action.