A Transition to Advanced Mathematics: A Survey Course (repost)
A Transition to Advanced Mathematics: A Survey Course by William Johnston and Alex McAllister
English | July 27, 2009 | ISBN-10: 0195310764 | PDF | 768 pages | 5.8 mb
English | July 27, 2009 | ISBN-10: 0195310764 | PDF | 768 pages | 5.8 mb
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.