Random Series is a place where it keeps all math series without classifying to a specific type.  In this Random Series we explore series formulae that have connections to sine, cosine, tan, cot, sinh, cosh, tanh, coth, and special math constants. Since more series formulae are often added into SMS website, the series are not classified to related groups, and they are randomly organized into the multiple sections with dated memos. Most of the series found under this Series Book Outline have already been posted on the old link of SMS website, which is www.seriesmathstudy.com/startsms.