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"One of Choice's Outstanding Academic Titles for 2015" Arthur Benjamin is professor of mathematics at Harvey Mudd College. Gary Chartrand is professor emeritus of mathematics at Western Michigan University. Ping Zhang is professor of mathematics at Western Michigan University.
The history, formulas, and most famous puzzles of graph theory
Graph theory goes back several centuries and revolves around the study of graphs-mathematical structures showing...
Author
Description
Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have...
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Great Courses volume 19
Description
Inspired by a question about the Fibonacci numbers, probe the power of graphs. First, experiment with scatter plots. Then see how plotting data is like graphing functions in algebra. Use graphs to prove the fixed-point theorem and answer the Fibonacci question that opened the lecture.
Author
Series
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Continue your study of the graphs of trigonometric functions by looking at the curves made by tangent, cosecant, secant, and cotangent expressions. Then bring several precalculus skills together by using a decaying exponential term in a sine function to model damped harmonic motion.
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Series
Description
The graphs of sine and cosine functions form a distinctive wave-like pattern. Experiment with functions that have additional terms, and see how these change the period, amplitude, and phase of the waves. Such behavior occurs throughout nature and led to the discovery of rapidly rotating stars called pulsars in 1967.
15) Graphs and Trees
Description
In computing, a graph is a mathematical structure composed of vertices and edges. Discover its incredible power to capture relationships such as the airline routes between cities and the friends in a social network. Try writing programs utilizing graphs and a special type of graph called trees.
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