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Bicycles & Tricycles: A Classic Treatise on Their Design and Construction (Dover Transportation)
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Author: Archibald Sharp
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A much better book  IMHO is "Bicycle and Tricycles: A Classic Treatise on Their Design and Construction" published in 1896 and republished by Dover in 2011. This book goes into great detail about the science of bicycling. It assumes only a basic math knowledge, and covers topics such as vector mechanics, stress, strain, mechanics of motion, dynamics, etc, all applied to bicycles. I found it quite readable and a great way to learn engineering mechanics. I highly recommend it.
 - https://www.amazon.com/Bicycles-Tricycles-Treatise-Construct...
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