This text attempts to change the way logic and discrete math are taught in computer science and mathematics. While many books treat logic simply as another topic of study, this book's uniqueness is its willingness to take it one step further. In the book, logic is treated as a basic tool, to be applied in essentially every other area. "This is a rather extraordinary book, and deserves to be read by everyone involved in computer science and - perhaps more importantly - software engineering. I recommend it highly. The book will be of value not only to beginning students, but also to hardened programmers with many years of experience - in Fortran, Cobol, C, C++, or whatever. If the book is taken seriously, the rigor that it unfolds and the clarity of its concepts could have a significant impact on the way in which software is conceived and developed. " -Peter G. Neumann-

The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetizers for further study. A number of BREAKS are included in each chapter. These are problems designed to test the reader's understanding of the material thus far in the chapter. This book is a sequel to the authors's popular book "Mathematical Reflections" and can be read independently.