One of life's most exhilarating experiences is the "aha!" moment that comes from pondering a mathematical problem and then seeing the way to an elegant solution. Try your hand at these:
Can you cut a sheet of typing paper with scissors into only one piece so that an elephant can step through it?

To understand the fundamentals of computer science it is essential for us to begin with study of the related mathematical topics ranging from discrete mathematics, concepts of automata theory and formal languages. It is high time to recognize the importance of discrete mathematics as it finds various applications in the field of computer science

I wrote this text for a one semester course at the sophomore-junior level. Our experience with students taking our junior physics courses is that even if theyve had the mathematical prerequisites, they usually need more experience using the mathematics to handle it efficiently and to possess usable intuition about the processes involved. If youve seen infinite series in a calculus course, you may have no idea that theyre good for anything.