I painted the opening flower on the cover to be a visual representation of growth and change. It is a symbol of calculus as a vibrant and living field, and also a symbol of the dynamic world that calculus helps us understand.
The image in the lower-right shows the Indian astronomer Aryabhata, the first person known to have taken a derivative, looking up at a modern representation of his work with the sine function. The image was produced in Adobe Illustrator, based on a photograph of a sculpture of Aryabhata.
The graphs in the lower left illustrate the connection between the volume and flow rate through Lake Granby, a reservoir in Colorado. They represent the important role calculus can play in understanding modern issues such as our changing water supply.
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