Exploratory Galois theory:
Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course i...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
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| Links: | https://doi.org/10.1017/CBO9780511755200 |
| Zusammenfassung: | Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students. |
| Umfang: | 1 Online-Ressource (xii, 208 Seiten) |
| ISBN: | 9780511755200 |
Internformat
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| 520 | |a Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students. | ||
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| indexdate | 2025-03-19T15:54:04Z |
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| spelling | Swallow, John 1970- Exploratory Galois theory John Swallow Cambridge Cambridge University Press 2004 1 Online-Ressource (xii, 208 Seiten) txt c cr Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students. Erscheint auch als Druck-Ausgabe 9780521544993 Erscheint auch als Druck-Ausgabe 9780521836500 |
| spellingShingle | Swallow, John 1970- Exploratory Galois theory |
| title | Exploratory Galois theory |
| title_auth | Exploratory Galois theory |
| title_exact_search | Exploratory Galois theory |
| title_full | Exploratory Galois theory John Swallow |
| title_fullStr | Exploratory Galois theory John Swallow |
| title_full_unstemmed | Exploratory Galois theory John Swallow |
| title_short | Exploratory Galois theory |
| title_sort | exploratory galois theory |
| work_keys_str_mv | AT swallowjohn exploratorygaloistheory |