1.

Record Nr.

UNINA9910554488803321

Autore

Gan Xiao-Xiong

Titolo

Formal analysis : an introduction / / Xiao-Xiong Gan

Pubbl/distr/stampa

Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021]

©2021

ISBN

3-11-059860-4

3-11-059945-7

Descrizione fisica

1 online resource (XII, 326 p.)

Collana

De Gruyter Studies in Mathematics ; ; 80

Classificazione

SK 230

Disciplina

515

Soggetti

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Preface -- Contents -- 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 -- Bibliography -- Index

Sommario/riassunto

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.