Transition to Advanced Mathematics

A Transition to Advanced Mathematics: A Survey Course promotes the goals of a bridge'' course in mathematics helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a survey'' course describing the intriguing questions and insights fundamental to many diverse areas of mathematics including Logic Abstract Algebra Number Theory Real Analysis Statistics Graph Theory and Complex Analysis.