02199nam 2200505 450 991055448880332120231110222235.03-11-059860-43-11-059945-710.1515/9783110599459(CKB)5470000000570954(DE-B1597)494625(DE-B1597)9783110599459(MiAaPQ)EBC6702268(Au-PeEL)EBL6702268(OCoLC)1253312923(EXLCZ)99547000000057095420220430d2021 uy 0engur||#||||||||txtrdacontentcrdamediacrrdacarrierFormal analysis an introduction /Xiao-Xiong GanBerlin, Germany ;Boston, Massachusetts :De Gruyter,[2021]©20211 online resource (XII, 326 p.)De Gruyter Studies in Mathematics ;803-11-059785-3 Includes bibliographical references and index.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 --IndexFormal 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.De Gruyter Studies in Mathematics Mathematical analysisMathematical analysis.515SK 230SEPArvkGan Xiao-Xiong1217488MiAaPQMiAaPQMiAaPQBOOK9910554488803321Formal Analysis2815655UNINA