The aim of this book is to become something practical, providing a description of the essential theory (explained simply) and many solved exercises. The basic concepts necessary to understand the rudiments of the Airy wave and other analytical waves (and their application to Coastal Engineering) are clarified. Moreover, the appropriate mathematical tools are given in certain cases because some science courses do not require a minimum background in mathematics or physics. Despite not going into depth into the theoretical developments, experience has demonstrated that students are ensured to acquire the bare minimum of knowledge necessary to pursue any subsequent improvement course.