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This monograph provides a mathematical analysis of§electrical wave propagation in cardiac tissue. §Models of the cardiac action potential are similar to§the Nobel Prize-winning Hogdkin-Huxley model of the§nerve action potential. In Chapter 2, we carefully§construct a simple, two-variable model of the cardiac§action potential, modeling the cell membrane as an§electrical circuit. Unlike nerve cells, cardiac§tissue exhibits a feature known as electrical§restitution, which can be exploited to predict the§onset of certain arrhythmias. Chapters 3 and 4§illustrate how to derive restitution relationships§for both the duration and velocity of action§potential, using the model from Chapter 2 as a§starting point. Finally, in Chapter 5 we use these§restitution relationships to analyze how cardiac§fibers respond to a sudden change in the pacing rate.§ Our mathematical analysis provides some rather§surprising predictions regarding how abnormal rhythms§may originate.