Formal analysis. An introduction (Q2031838)

The book contains the collections of works on the subject of formal power series since long time ago. It presents classical algebraic structures of formal power series, formal differentiation, applications using metrics, the Riordan group, many analytical topics. The composition theorem takes a crucial place in this book. Formal Laurent series are also introduced and studied.This volume contains nine chapters: (1) Basics of formal power series. (2) Calculus of formal power series. (3) Applications of formal power series, I. (4) Applications of formal power series, II. (5) General composition. (6) Formal analysis and classical analysis. (7) Formal Laurent series. (8) Iteration and iterative roots. (9) Formal series and general exponents.