By
Alan Levine, Franklin and Marshall College, Lancaster, Pennsylvania, U.S.A.
Description
Funded by a National Science Foundation grant,
Discovering Higher Mathematics emphasizes four main themes that are essential
components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition
courses designed to prepare students for the abstraction of higher mathematics. Students in these courses have normally completed the
calculus sequence and are planning to take advanced mathematics courses such as algebra, analysis and topology. The transition course
is taken to prepare students for these courses by introducing them to the processes of conjecture and proof concepts which are typically
not emphasized in calculus, but are critical components of advanced courses.
Audience:
Undergraduate mathematics majors.
