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020 _a9783030327965
_9978-3-030-32796-5
024 7 _a10.1007/978-3-030-32796-5
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512
_223
100 1 _aDouady, Régine.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAlgebra and Galois Theories
_h[electronic resource] /
_cby Régine Douady, Adrien Douady.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXXIII, 462 p. 33 illus., 6 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aAlgebra.
650 1 4 _aAlgebra.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11000
700 1 _aDouady, Adrien.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030327958
776 0 8 _iPrinted edition:
_z9783030327972
776 0 8 _iPrinted edition:
_z9783030327989
856 4 0 _uhttps://doi.org/10.1007/978-3-030-32796-5
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c461199
_d461199