Galois Theory, Coverings, And Riemann Surfaces
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- Engels
- Hardcover
- 9783642388408
- 20 november 2013
- 81 pagina's
Samenvatting
The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form.
The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric description of finite algebraic extensions of the field of meromorphic functions on a Riemann surface and provides an introduction to the topological Galois theory developed by the author.
All results are presented in the same elementary and self-contained manner as classical Galois theory, making this book both useful and interesting to readers with a variety of backgrounds in mathematics, from advanced undergraduate students to researchers.
The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric description of finite algebraic extensions of the field of meromorphic functions on a Riemann surface and provides an introduction to the topological Galois theory developed by the author.
All results are presented in the same elementary and self-contained manner as classical Galois theory, making this book both useful and interesting to readers with a variety of backgrounds in mathematics, from advanced undergraduate students to researchers.
Productspecificaties
Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 20 november 2013
- Aantal pagina's
- 81
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Askold Khovanskii
- Hoofduitgeverij
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Vertaling
- Eerste Vertaler
- Vladlen Timorin
- Tweede Vertaler
- Valentina Kiritchenko
- Originele titel
- Teoriya Galua, Nakrytiya i Rimanovy Poverkhnosti
Overige kenmerken
- Editie
- 2013 ed.
- Extra groot lettertype
- Nee
- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Studieboek
- Ja
- Verpakking breedte
- 164 mm
- Verpakking hoogte
- 15 mm
- Verpakking lengte
- 241 mm
- Verpakkingsgewicht
- 295 g
EAN
- EAN
- 9783642388408
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