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Galois theory through exercises / Juliusz Brzeziński.

By: Brzeziński, Juliusz [author.].
Material type: TextTextSeries: Springer undergraduate mathematics series: Publisher: Cham, Switzerland : Springer, 2018Description: xvii, 293 pages :E 17.99 illustrations. 24 cms.Content type: text Media type: computer Carrier type: online resourceISBN: 331972326X.Subject(s): Mathematics | Galois theory -- Problems, exercises, etc | Galois theory | Mathematics | Field Theory and Polynomials | Number Theory | Algebraic Geometry | Associative Rings and Algebras | Commutative Rings and Algebras | Group Theory and Generalizations | Mathematics -- Number Theory | Mathematics -- Geometry -- Algebraic | Mathematics -- Algebra -- Abstract | Number theory | Algebraic geometry | Algebra | Groups & group theory | Field theory (Physics) | Number theory | Geometry, algebraic | Algebra | Group theoryGenre/Form: Electronic books. | Problems and exercises.DDC classification: 512/.32
Contents:
Solving algebraic equations -- Field extensions -- Polynomials and irreducibility -- Algebraic extensions -- Splitting fields -- Automorphism groups of fields -- Normal extensions -- Separable extensions -- Galois extensions -- Cyclotomic extensions -- Galois modules -- Solvable groups -- Solvability of equations -- Geometric constructions -- Computing Galois groups -- Supplementary problems -- Proofs of the theorems -- Hints and answers -- Examples and selected solutions -- Appendix: Groups, rings and fields.
List(s) this item appears in: 2021-07-26
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
512.32 BRZ (Browse shelf) Available 10875
Total holds: 0

Includes bibliographical references and index.

Solving algebraic equations -- Field extensions -- Polynomials and irreducibility -- Algebraic extensions -- Splitting fields -- Automorphism groups of fields -- Normal extensions -- Separable extensions -- Galois extensions -- Cyclotomic extensions -- Galois modules -- Solvable groups -- Solvability of equations -- Geometric constructions -- Computing Galois groups -- Supplementary problems -- Proofs of the theorems -- Hints and answers -- Examples and selected solutions -- Appendix: Groups, rings and fields.

Online resource; title from PDF title page (SpringerLink, viewed March 27, 2018).