References 3.8 References and Suggested Readings
[1]
G. Corliss, Which root does the bisection method find?, The American Mathematical Monthly, 120:6, 2013.
[2]
Look at the Wikipedia page about Newton's method for plenty of extra information about this method, whose dynamics is much richer one might think at first.
[3]
J. Papakonstantinou and R. Tapia, Origin and Evolution of the Secant Method in One Dimension, The American Mathematical Monthly, 120:6, 2013.