Classical algebra its nature, origins, and uses
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley-Interscience
c2008
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| Schlagworte: | |
| Online-Zugang: | DE-861 DE-91 DE-19 Volltext |
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| Beschreibung: | Combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject, with a contemporary perspective on classical polynomial algebra Includes bibliographical references and indexes pt. 1. Numbers and equations -- Lesson 1. What algebra is -- Lesson 2. Equations and their solutions -- Lesson 3. Where algebra comes from -- Lesson 4. Why algebra is important -- Lesson 5. Numerical solution of equations -- pt. 2. formulaic approach to equations -- Lesson 6. Combinatoric solutions I: quadratic equations -- Lesson 7. Combinatoric solutions II: cubic equations -- pt. 3. Resolvents -- Lesson 8. From combinatorics to resolvents -- Lesson 9. search for resolvents -- pt. 4. Abstract algebra -- Lesson 10. Existence and constructibility of roots -- Lesson 11. breakthrough: Galois theory -- Epilogue: modern algebra -- App. Some facts about plynomials |
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| Beschreibung: | 1 Online-Ressource (xii, 206 p.) |
| ISBN: | 0470277971 047027798X 9780470277973 9780470277980 |