抽象代數講義（第2捲）（英文） [Lectures in Abstract Algebra 2] 下載 mobi epub pdf 電子書 2025

☆☆☆☆☆
簡體網頁||繁體網頁



下載連結1
下載連結2
下載連結3

類似圖書 點擊查看全場最低價

---

內容簡介

　　The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups， rings， fields， homomorphisms， is presup- posed. However， we have tried to make this account' of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short， it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra.

內頁插圖

目錄

CHAPTER I: FINITE DIMENSIONAL VECTOR SPACES
S ECTION
1. Abstract vector spaces
2. Rightvectorspaces
3. o-modules
4. Linear dependence
5. Invariance of dimensionality
6. Bases and matrices
7. Applications to matrix theory
8. Rank ofa set ofvectors
9. Factor spaces
10. Algebra ofsubspaces
11. Independent subspaces, direct sums

CHAPTER II: LINEAR TRANSFORMATIONS
1. Definition and examples
2. Compositions of linear transformations
3. The matrix of a linear transformation
4. Compositions ofmatrices
5. Change of basis. Equivalence and similarity of matrices
6. Rank space and null space of a linear transformation
7. Systems oflinear equations
8. Linear transformations in right vector spaces
9. Linear functions
10. Duality between a finite dimensional space and its .conjugate space
11. Transpose of a linear transformation
12. Matrices of the transpose
13. Projections

CHAPTER III: THE THEORY OF A SINGLE LINEAR TRANSFORMATION
1. The minimum polynomial of a linear transformation
2. Cyclicsubspaces
3. Existence of a vector whose order is the minimum polynomial
4. Cyclic linear transformations
5. The module det:ermiried by a linear transformation
6. Finitely generated o-modules, o, a principal ideal domain
7. Normalization of the generators of; and of
8. Equivalence of matrices with elements in a principal ideal domain
9. Structure of finitely generated o-modules
10. Invarjance theorems
11. Decomposition of a vector space relative to a linear trans- formation
12. The characteristic and minimum polynomials
13. Direct proof of Theorem 13
14. Formal properties of the trace and the characteristic poly- nomial
15. The ring of o-endomorphisms of a cyclic o-module
16. Determination of the ring of o-endomorphisms of a finitely generated o-module, o principal
17. The linear transformations which commute with a given lin- ear transformation
18. The center of the ring

CHAPTER Ⅳ: SETS OF LINEAR TRANSFORMATIONS
1. Invariant subspaces
2. Induced linear transformations
3. Composition series
4. Decomposability
5. Complete reducibility
6. Relation to the theory of operator groups and the theory of modules
7. Reducibility, decomposability, complete reducibility for a single linear transformation
8. The primary components of a space relative to a linear trans- formation
9. Sets of commutative linear transformations

CHAPTER Ⅴ: BILINEAR FORMS
1. Bilinear forms
2. Matrices of a bilinear form
……

CHAPTER VI: EUCLIDEAN AND UNITARY SPACES
CHAPTER Ⅶ: PRODUCTS OF VECTOR SPApES
CHAPTER Ⅷ: THE RING OF LINEAR TRANSFORMATIONS
CHAPTER IX: INFINITE DIMENSIONAL VECTOR SPACES
Index

前言/序言

抽象代數講義（第2捲）（英文） [Lectures in Abstract Algebra 2] 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

不錯1234567890

評分☆☆☆☆☆

一、不同人生階段、不同認知水平對應的“有效讀書”標準不一樣

評分☆☆☆☆☆

買瞭很多書，希望明年能不辜負

評分☆☆☆☆☆

沒找到basic algebra纔買的，雖然是影印版，但是很清晰。

評分☆☆☆☆☆

函數，函數，好起來。

評分☆☆☆☆☆

我為什麼喜歡在京東買東西，因為今天買明天就可以送到。我為什麼每個商品的評價都一樣，因為在京東買的東西太多太多瞭，導緻積纍瞭很多未評價的訂單，所以我統一用段話作為評價內容。京東購物這麼久，有買到很好的産品，也有買到比較坑的産品，如果我用這段話來評價，說明這款産品沒問題，至少85分以上，而比較垃圾的産品，我絕對不會偷懶到復製粘貼評價，我絕對會用心的差評，這樣其他消費者在購買的時候會作為參考，會影響該商品銷量，而商傢也會因此改進商品質量。

評分☆☆☆☆☆

比如我們10歲以前，阿拉丁神燈這一類兒童書籍能夠打動我們，也能夠讓我們開始學著認識這個世界。然而當我們長大一些之後，能夠打動我們或者對我們有巨大幫助的書籍，會變化。所以第一個建議是：根據自己當前的人生階段、認知水平來思考自己應該看哪一類書，比如說初入職場的人，去學習具體的工作技能（如Excel的使用）會比研讀管理學理論要更為有益，因為對於這個階段的你來說，技能性的東西可以現學現練，很快就能把書裏的東西轉化為自己能力的一部分。

評分☆☆☆☆☆

作者可以說是至始至終都與這種思想相背離著。《紅樓夢》可以未完，但絕對不可以庸俗！而《紅樓夢》從來是不缺乏結局的，從很大數量的續書中就可以看齣，現在也有不少這樣的好心人，誇大，裝腔，撒謊，煞有其事……目的也隻有一個，那就是結局，這點比百二十迴的“不結而結”可以說是等而下之瞭。而瓊瑤小說影視之所以走紅，通常就是在結局中玩盡一些哭天搶地的把戲，使讀者和著作者一起用無聊消乏無聊，用一切的無聊把一切的無聊送走。

評分☆☆☆☆☆

大學教授推薦的英文書，正在看，內容目前無法評價。

類似圖書 點擊查看全場最低價