Description
Book SynopsisThe goal of this unique text is to provide an experience that would facilitate a better transition for mathematics majors to the advanced proof-based courses required for their major.
If you feel like you love mathematics but hate proofs, this book is for you. The change from example-based courses such as Introductory Calculus to the proof-based courses in the major is often abrupt, and some students are left with the unpleasant feeling that a subject they loved has turned into material they find hard to understand.
The book exposes students and readers to some fundamental content and essential methods of constructing mathematical proofs in the context of four main courses required for the mathematics major probability, linear algebra, real analysis, and abstract algebra.
Following an optional foundational chapter on background material, four short chapters, each focusing on a particular course, provide a slow-paced but rigorous introduction. Students get