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Section 1 Images and Diagrams from Code

a drawing of a tall building and a tennis ball being launched upward; the path of the ball is an arc that goes upward and then downward to the ground
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a visual proof of the identity that the sum of k from k = 1 to n is (n + 1) choose 2; there is a single ball at the top; beneath that there are two balls; beneath that there are three, then four, then five, then 6; this collection of balls represents the sum of k from k = 1 to 6; below all this are seven balls; the diagram illustrates a correspondence from any of the balls from the upper collection to a unique pair of two balls in the row of seven
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Figure 1.1. tikz Examples
a plot of the implicitly defined curve x cos(x y) = 4 - y; the viewing window is [-7,7] x [-4,10.6]
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a 3D partial plot of the surface defined by r(u,v) = (u + v, u^2, v^2)
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Figure 1.2. pgfplots Examples
diagram illustrating light entering a raindrop and refracting some, then reflecting internally, and then refracting someas it exits the raindrop; the net effect is that the light reflected by some angle omega
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diagram illustrating sunlight hitting many raindrops, reflecting by an angle back in the general direction of a figure stanging on the ground; different colors reflect at slightly different angles, giving the figure the impression of seeing a rainbow
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Figure 1.3. pstricks Examples
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