In learning modern mathematics, real intelligence is not the skills or know-how learned but the abstract thinking. In the past, reaching this level of thinking proved difficult as relatively few students were well-equipped to think in this manner. In order to prepare students for abstract mathematics, many transitional books are available. However, these books primarily focus on the treatment of logic and the art of proof writing. In many cases, this approach intimidates student causing them to shy away from abstract mathematics altogether.

The purpose of this book is to prepare...