Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find.
It covers topics such as statistical process control, including multivariate methods, the design of experiments, including computerexperiments and reliability methods, including Bayesian reliability.
This text gives a comprehensive introduction to the “common core” of convex geometry. It is also appropriate for survey type courses in Banach space theory, convex analysis, differential geometry, and applications of measure theory.
This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. Since the presented functions are limited to hypergeometric functions of a real variable, the only prerequisites are the basics of real analysis.