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Formal Analysis - An Introduction

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Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications. -The first comprehensive monograph on formal analysis -Collects all important aspects of formal power series, with many applications -Of interest to graduate students and researchers in mathematical analysis, complex analysis etc.

Author(s): Xiao-Xiong Gan
Series: De Gruyter Studies in Mathematics 80
Edition: 1
Publisher: De Gruyter
Year: 2021

Language: English
Pages: 326
Tags: Formal Analysis, Power Series, Laurent Series

1 Basics of formal power series 1
2 Calculus of formal power series 49
3 Applications of formal power series, I 85
4 Applications of formal power series, II 101
5 General composition 129
6 Formal analysis and classical analysis 161
7 Formal Laurent series 189
8 Iteration and iterative roots 245
9 Formal series and general exponents 285
Bibliography 315
Index 319