群與對稱 [Groups and Symmetry] 下載 mobi epub pdf 電子書 2024

☆☆☆☆☆
簡體網頁||繁體網頁



點擊這裡下載

類似圖書 點擊查看全場最低價

---

內容簡介

《群與對稱》講述瞭 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.
a word about content and style seems appropriate. in this volume， the emphasis is on examples throughout， with a weighting towards the symmetry groups of solids and patterns. almost all the topics have been chosen so as to show groups in their most natural role， acting on （or permuting） the members ora set， whether it be the diagonals of a cube， the edges of a tree， or even some collection of subgroups of the given group. the material is divided into twenty-eight short chapters， each of which introduces a new result or idea.a glance at the contents will show that most of the mainstays of a first course arc here. the theorems of lagrange， cauchy， and sylow all have a chapter to themselves， as do the classifcation of finitely generated abelian groups， the enumeration of the finite rotation groups and the plane crystallographic groups， and the nielsen-schreier theorem.

目錄

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

前言/序言

群與對稱 [Groups and Symmetry] 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

專業代數教材，國外影印班的

評分☆☆☆☆☆

評分☆☆☆☆☆

商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！商品不錯！

評分☆☆☆☆☆

半價的時候買的，很值，送貨速度很快，京東包裝得很好。

評分☆☆☆☆☆

內容未讀，應該 不錯吧

評分☆☆☆☆☆

要有一定基礎，雖然要求也不高。。

評分☆☆☆☆☆

滿意

評分☆☆☆☆☆

“對稱”的含義

評分☆☆☆☆☆

半價的時候買的，很值，送貨速度很快，京東包裝得很好。

類似圖書 點擊查看全場最低價