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(New page: = Prof. Paul Garrett, University of Minnesota= :''' B.Sc. and MS., Mathematics, Purdue University, 1973''' :'''Ph.D., Mathematics, Princeton University, 1977''' :[[Image:Paul_Garrett.jpg|1...) |
Current revision (07:28, 23 August 2012) (view source) |
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A note from Prof. Garrett about [https://www.projectrhea.org/rhea/index.php/MA453 abstract algebra]: | A note from Prof. Garrett about [https://www.projectrhea.org/rhea/index.php/MA453 abstract algebra]: | ||

- | ''Abstract algebra continues the conceptual developments of [https://www.projectrhea.org/rhea/index.php/MA265 linear algebra], on an even grander scale, incorporating more ideas, about the | + | '' "Abstract algebra continues the conceptual developments of [https://www.projectrhea.org/rhea/index.php/MA265 linear algebra], on an even grander scale, incorporating more ideas, about the |

notion of "number", about symmetry (the notion of "group"), about | notion of "number", about symmetry (the notion of "group"), about | ||

solving polynomial equations, as well as extending the ideas about | solving polynomial equations, as well as extending the ideas about | ||

irrational numbers, integers-mod-N, quaternions, solving equations by | irrational numbers, integers-mod-N, quaternions, solving equations by | ||

root-taking (Galois theory), and other extensions of the notion of | root-taking (Galois theory), and other extensions of the notion of | ||

- | "number" were the hook that enchanted me with abstract algebra. | + | "number" were the hook that enchanted me with abstract algebra." |

'' | '' | ||