000			01918nam 2200313|i 4500
001			85747
005			20210602162247.0
010			_a978-3-319-72326-6 _dcompra
090			_a85747
100			_a20190128d2018 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aGalois theory through exercises _bDocumento electrónico _fJuliusz Brzeziński
210			_aCham _cSpringer International Publishing _cSpringer _d2018
215			_aXVII, 293 p.
225	2		_aSpringer Undergraduate Mathematics Series
300			_aColocação: Online
303			_aThis textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.
410	1		_x1615-2085
606			_aÁlgebra
606			_aGeometria algébrica
680			_aQA155
700			_aBrzeziński _bJuliusz
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-72326-6
942			_2lcc _cF _n0