| 书名 | 群与对称 |
| 分类 | 科学技术-自然科学-数学 |
| 作者 | (英)阿姆斯壮 |
| 出版社 | 世界图书出版公司 |
| 下载 | 抱歉，不提供下载，请购买正版图书。 |
| 简介 | 编辑推荐 Numbers measure size, groups measure symmetry. The first statement comes as no surprise; after all, that is what numbers are for. The second will be exploited here in an attempt to introduce the vocabulary and some of the highlights of elementary group theory. 目录 Preface Chapter 1 symmetries of the tetrahedron Chapter 2 axioms Chapter 3 numbers Chapter 4 dihedral groups Chapter 5 subgroups and generators Chapter 6 permutations Chapter 7 isomorphisms Chapter 8 plato's solids and cayley's theorem Chapter 9 matrix groups Chapter 10 products Chapter 11 lagrange's theorem Chapter 12 partitions Chapter 13 cauehy's theorem Chapter 14 coujugacy Chapter 15 quotient groups Chapter 16 homomorphisms Chapter 17 actions, orbits, and stabilizers Chapter 18 counting orbits Chapter 19 finite rotation groups Chapter 20 the sylow theorems Chapter 21 finitely generated abelian groups Chapter 22 row and column operations Chapter 23 automorphisms Chapter 24 the euclidean group Chapter 25 lattices and point groups Chapter 26 wallpaper patterns Chapter 27 free groups and presentations Chapter 28 trees and the nielsen-schreier theorem Bibliography Index |
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