Computers are everywhere in our daily lives. Between the desktop, laptop, phone, bank, and vehicle, it is difficult to completely get away from computers. It only makes sense to learn a little about how a computer really works.This text provides an introduction to programming and problem solving using the Fortran 95/2003/2008 programming language. This introduction is geared for non-computer science majors. The primary focus is on an introduction to problem solving and algorithm development. As such, many details of the Fortran 95/2003/2008 language are omitted.