LEADER 01180nam 2200397 450 001 9910796333203321 010 $a2-8062-6809-5 035 $a(CKB)3820000000019981 035 $a(MiAaPQ)EBC4465977 035 $a(PPN)249690055 035 $a(EXLCZ)993820000000019981 100 $a20160514h20162016 uy 0 101 0 $afre 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 12$aL'amour et les Fore?ts d'E?ric Reinhardt /$fdocument re?dige? par Jeremy Lambert 210 1$a[Place of publication not identified] :$clePetitLitteraire.fr,$d2016. 210 4$dİ2016 215 $a1 online resource (19 pages) 225 1 $aFiche de Lecture 311 $a2-8062-6810-9 320 $aIncludes bibliographical references. 410 0$aFiche de lecture. 606 $aAuthors, French$y20th century 615 0$aAuthors, French 676 $a840.90091 700 $aLambert$b Je?re?my$0949116 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796333203321 996 $aL'amour et les Fore?ts d'E?ric Reinhardt$93751310 997 $aUNINA LEADER 04961nam 22005655 450 001 9910364956503321 005 20250609110716.0 010 $a4-431-56888-3 024 7 $a10.1007/978-4-431-56888-9 035 $a(CKB)4100000010011992 035 $a(MiAaPQ)EBC5990226 035 $a(DE-He213)978-4-431-56888-9 035 $a(PPN)242817971 035 $a(MiAaPQ)EBC5990204 035 $a(EXLCZ)994100000010011992 100 $a20191206d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopology of Polymers /$fby Koya Shimokawa, Kai Ishihara, Yasuyuki Tezuka 205 $a1st ed. 2019. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2019. 215 $a1 online resource (VIII, 81 p.) 225 1 $aSpringerBriefs in the Mathematics of Materials,$x2365-6336 ;$v4 311 08$a4-431-56886-7 327 $aTopology meets polymers: Introduction -- Graph theory analyses of polymers -- Classification of polymer topologies based on alkane molecular graphs -- Types of graphs -- Knot theory analysis of polymers -- Topological operations and chemical isomerism of polymers -- Topological polymer chemistry and graph-structure construction -- Topology meets polymers: Conclusion and perspectives. 330 $aPlastics, films, and synthetic fibers are among typical examples of polymer materials fabricated industrially in massive quantities as the basis of modern social life. By comparison, polymers from biological resources, including proteins, DNAs, and cotton fibers, are essential in various processes in living systems. Such polymers are molecular substances, constituted by the linking of hundreds to tens of thousands of small chemical unit (monomer) components. Thus, the form of polymer molecules is frequently expressed by line geometries, and their linear and non-linear forms are believed to constitute the fundamental basis for their properties and functions. In the field of polymer chemistry and polymer materials science, the choice of macromolecules has continuously been extended from linear or randomly branched forms toward a variety of precisely controlled topologies by the introduction of intriguing synthetic techniques. Moreover, during the first decade of this century, a number of impressive breakthroughs have been achieved to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unique properties and functions based on the form, i.e., topology, of polymer molecules. The introduction and application of topological geometry (soft geometry) to polymer molecules is a crucial requirement to account for the basic geometrical properties of polymer chains uniquely flexible in nature, in contrast to small chemical compounds conceived upon Euclidian geometry (hard geometry) principles. Topological geometry and graph theory are introduced for the systematic classification and notation of the non-linear constructions of polymer molecules, including not only branched but also single cyclic and multicyclic polymer topologies. On that basis, the geometrical?topological relationship between different polymers having distinctive constructions is discussed. A unique conception of topological isomerism is thus formed, which contrasts with that of conventional constitutional and stereoisomerism occurring in small chemical compounds. Through the close collaboration of topology experts Shimokawa and Ishihara and the polymer chemist Tezuka, this monograph covers the fundamentals and selected current topics of topology applied in polymers and topological polymer chemistry. In particular, the aim is to provide novel insights jointly revealed through a unique interaction between mathematics (topology) and polymer materials science. 410 0$aSpringerBriefs in the Mathematics of Materials,$x2365-6336 ;$v4 606 $aTopology 606 $aPolymers 606 $aGraph theory 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 606 $aPolymer Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/C22008 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 615 0$aTopology. 615 0$aPolymers. 615 0$aGraph theory. 615 14$aTopology. 615 24$aPolymer Sciences. 615 24$aGraph Theory. 676 $a514 700 $aShimokawa$b Koya$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781823 702 $aIshihara$b Kai$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTezuka$b Yasuyuki$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910364956503321 996 $aTopology of Polymers$92536874 997 $aUNINA