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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.
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.
Provides a hands-on approach to learning Galois theory, focusing on problem-solving exercises
Features almost 500 exercises with hints, answers or solutions
Includes Maple tutorials and exercises
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 312 |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xvii
293 S. 12 s/w Illustr. 293 p. 12 illus. |
| ISBN-13: | 9783319723259 |
| ISBN-10: | 3319723251 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-72325-9 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brzezi¿ski, Juliusz |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer Undergraduate Mathematics Series |
| Maße: | 235 x 155 x 17 mm |
| Von/Mit: | Juliusz Brzezi¿ski |
| Erscheinungsdatum: | 03.04.2018 |
| Gewicht: | 0,476 kg |
Provides a hands-on approach to learning Galois theory, focusing on problem-solving exercises
Features almost 500 exercises with hints, answers or solutions
Includes Maple tutorials and exercises
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 312 |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xvii
293 S. 12 s/w Illustr. 293 p. 12 illus. |
| ISBN-13: | 9783319723259 |
| ISBN-10: | 3319723251 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-72325-9 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Brzezi¿ski, Juliusz |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer Undergraduate Mathematics Series |
| Maße: | 235 x 155 x 17 mm |
| Von/Mit: | Juliusz Brzezi¿ski |
| Erscheinungsdatum: | 03.04.2018 |
| Gewicht: | 0,476 kg |
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