Mathematical Methods was developed to enable people to master mathematics using a systematic approach. This is to be accomplished by understanding the definitions, history, applications, and algorithms (methods for problem solving) of the various topics of mathematics. Most books and resources on mathematics give you a formal mathematical definition and then show one or two worked examples. Some textbooks go further and provide historical notes and show some of the steps required to solve particular problems. In most worked examples, one or more steps are omitted and the student is left to try to figure out how the final answer was derived. Other textbooks give you applications and examples but leave out how to approach solving different classes of problems. The goal of the Mathematical Methods series of books is to include everything you need to know to master each level of mathematical studies.