Steven G. Krantz was born in San Francisco, California in 1951. He received the B.A. degree from the University of California at Santa Cruz in 1971 and the Ph.D. from Princeton University in 1974. Krantz has taught at UCLA, Princeton University, Penn State, and Washington University in St. Louis. He has served as Chair of the latter department. Krantz has directed 9 Masters theses and 18 Ph.D. theses. He has been awarded the UCLA Alumni Foundation Distinguished Teaching Award, the Chauvenet Prize, and the Beckenbach Book Prize. Krantz has published over 155 scholarly articles and over 55 books. He is currently the Editor of the Notices of the American Mathematical Society.

• Introduction.- The Riemann Integral.- The Lebesgue Integral.- Comparison of the Riemann and Lebesgue Integrals.- Other Theories of the Integral.