LEADER 02199nam 2200505 450 001 9910554488803321 005 20231110222235.0 010 $a3-11-059860-4 010 $a3-11-059945-7 024 7 $a10.1515/9783110599459 035 $a(CKB)5470000000570954 035 $a(DE-B1597)494625 035 $a(DE-B1597)9783110599459 035 $a(MiAaPQ)EBC6702268 035 $a(Au-PeEL)EBL6702268 035 $a(OCoLC)1253312923 035 $a(EXLCZ)995470000000570954 100 $a20220430d2021 uy 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFormal analysis $ean introduction /$fXiao-Xiong Gan 210 1$aBerlin, Germany ;$aBoston, Massachusetts :$cDe Gruyter,$d[2021] 210 4$dİ2021 215 $a1 online resource (XII, 326 p.) 225 0 $aDe Gruyter Studies in Mathematics ;$v80 311 1 $a3-11-059785-3 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tPreface --$tContents --$t1 Basics of formal power series --$t2 Calculus of formal power series --$t3 Applications of formal power series, I --$t4 Applications of formal power series, II --$t5 General composition --$t6 Formal analysis and classical analysis --$t7 Formal Laurent series --$t8 Iteration and iterative roots --$t9 Formal series and general exponents --$tBibliography --$tIndex 330 $aFormal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications. 410 3$aDe Gruyter Studies in Mathematics 606 $aMathematical analysis 615 0$aMathematical analysis. 676 $a515 686 $aSK 230$qSEPA$2rvk 700 $aGan$b Xiao-Xiong$01217488 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554488803321 996 $aFormal Analysis$92815655 997 $aUNINA