02419nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001600167072002300183072001500206082001200221100007900233245009300312250001800405264007500423300006600498336002600564337002600590338003600616347002400652505026800676520067200944650001301616650008901629700007701718710003401795773002601829776003601855776003601891776003601927856004601963978-3-030-32796-5DE-He21320200904104947.0cr nn 008mamaa200713s2020    gw |    s    |||| 0|eng d  a97830303279657 a10.1007/978-3-030-32796-52doi 4aQA150-272 7aPBF2bicssc 7aMAT0020002bisacsh 7aPBF2thema04a5122231 aDouady, Régine.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aAlgebra and Galois Theoriesh[electronic resource] /cby Régine Douady, Adrien Douady.  a1st ed. 2020. 1aCham :bSpringer International Publishing :bImprint: Springer,c2020.  aXXIII, 462 p. 33 illus., 6 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aIntroduction -- Chapter 1. Zorn’s Lemma -- Chapter 2. Categories and Functors -- Chapter 3. Linear Algebra -- Chapter 4. Coverings -- Chapter 5. Galois Theory -- Chapter 6. Riemann Surfaces -- Chapter 7. Dessins d’Enfants -- Bibliography -- Index of Notation.  aGalois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory. 0aAlgebra.14aAlgebra.0https://scigraph.springernature.com/ontologies/product-market-codes/M110001 aDouady, Adrien.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303032795808iPrinted edition:z978303032797208iPrinted edition:z978303032798940uhttps://doi.org/10.1007/978-3-030-32796-5