Linear Algebra
1,A.I.Kostrikin、Yuri.I.Manin,线性代数与几何,莫斯科大学出版社,1980。
2,A.I.Maltsev,线性代数基础,科学出版社,1975。
3,A.G.Kurosh,高等代数教程,科学出版社,1968。
4,P.R.Halmos,Finite-Dimensional Vector Spaces,Springer,1974。
5,A.I.Kostrikin,代数学引论,物理数学文献出版社,2000。
6,I.V.Proskuryakov,线性代数习题集,科学出版社,1974。
7,A.I.Kostrikin,代数学习题集,物理数学文献出版社,2001。
甘特玛赫尔”矩阵论”
A.I. Kostrikin,Introduction to algebra,Exercises in Algebra。Springer-Verlag, 《代数学引论》
M. Postnikov,Linear algebra and differential geometry,Mir Publishers
普罗斯库列科夫《线性代数习题集》
法捷耶夫《高等代数习题集》
Lang. Serge,Linear algebra,Springer-Verlag
Friedberg “Linear Algebra” 4th ed. Prentice Hall
Axler “Linear Algebra Done Right” 2nd ed. Springer-Verlag
Hoffman & Kunz , Linear Algebra
Artin’s Algebra
Matrix theory
Advanced Linear Algebra” by Steven Roman.
[GSM], Dym, Linear Algebra in Action
Lax, Linear Algebra and its Applications
[UTX], Curtis, Abstract Linear Algebra
贾柯勃逊(N.Jacobson) Lectures on Abstract Algebra ,II:Linear Algebra
GTM(Graduate Texts in Mathematics)No.31 (“抽象代数学”第二卷:线性代数)
Greub Linear Algebra(GTM23)
Israel Gelfand,Lectures on Linear Algebra, “Linear Algebra”
“Introduction to Linear and Abstract Algebra”,http://www.math.miami.edu/~ec/book/
Strang, Linear algebra, Academic Press.
蒋尔雄,吴景琨等 “线性代数”
屠伯埙等 “高等代数” , “线性代数-方法导引”
许以超“代数学引论”, 《线性代数与矩阵论》高等教育出版社
华罗庚 “高等数学引论”
丘维声 “高等代数”(上,下)
李炯生,查建国《线性代数》中国科学技术大学出版社
李尚志老师的线性代数
张贤科《高等代数学》清华大学出版社
叶明训《线性空间引论》武汉大学出版社
林成森,盛松柏的“高等代数”,如Sturm序列,Shermon-Morrison公式,广义逆矩阵等
南大出版社出版,可惜好象并轨以后就没有再用了。
国内较好的高等代数教材还有清华计算机系用的那本,清华出版社出版
莫宗坚先生的“代数学”里,对此进行了深刻的讨论
王萼芳和丁石孙的《高等代数》。
《高等代数》北京大学数学系代数与几何教研室前代数小组王萼芳,石生明修订
《高等代数》张禾瑞,郝鈵新
《高等代数简明教程》蓝以中
《理解矩阵》孟岩
“理解矩阵(一)-(三)”
“读《理解矩阵》的一点心得及整理归类”(http://blog.csdn.net/shirley329/)
《高等代数习题解》, 《高等代数精选题解》杨子胥
《高等代数》(大学数学学习方法指导丛书)姚幕生
《高等代数与解析几何》孟道骥
高等代数与解析几何》,《高等代数与解析几何习题精解》陈志杰
此外还有西安交通大学的
《高等代数与几何》潘仲晏
中山大学的
《几何与代数导引》胡国权
50《代数学引论》柯斯特利金著
【习题集】
51《高等代数辅导与习题解答》或《高等代数(北大•第三版)导教•导学•导考》
52《高等代数习题集》第2版(修订本) 法杰耶夫,索明斯基著 ; 丁寿田原译, 项观捷等修订
53《线性代数习题集》普罗斯库列柯夫编著
【辅导书】
54《高等代数:定理•问题•方法》胡适耕, 刘先忠编著
55《高等代数习题解》或者《高等代数精选题解》杨子胥著
杨子胥同宋宝和编著了一本《近世代数习题解》也可以作为今后参考。
56《高等代数解题方法》(第2版) 许甫华, 张贤科编著
【提高】
60《线性空间引论》叶明训编著
61《高等代数探究性课题集》邱森, 朱林生主编
62《矩阵分析及其应用》曾祥金,吴华安编著
63《近世代数观点下的高等代数》陈辉著
四、“线性代数”
【教材】
65《通俗线性代数讲义》李徐鸿编著
【习题集】
【辅导书】
66 《线性代数辅导》(第二版)胡金德、王飞燕编
67《线性代数典型题精讲》第2版 许甫华编著
【提高】
《项武义基础数学讲义•基础代数学》可以课后翻翻看。
还有《线性代数五讲》龚升编著 也可以看看。
Linear Algebra
1 , A.I.Kostrikin 、 Yuri.I.Manin Linear algebra and geometry, Moscow University Press, 1980 。
2 , A.I.Maltsev Linear algebra, science press, 1975 。
3 , A.G.Kurosh , Advanced algebra tutorials, science press, 1968 。
4 , P.R.Halmos , Finite-Dimensional Vector Spaces , Springer , 1974 。
5 , A.I.Kostrikin , Introduction to algebra, physics and mathematics literature Publishing House, 2000 。
6 , I.V.Proskuryakov , Linear algebra problem sets, science press, 1974 。
7 , A.I.Kostrikin And algebra problem sets, and physical-mathematical literature Publishing House, 2001 。
Gantemaheer ” Matrix theory”
A.I. Kostrikin , Introduction to algebra , Exercises in Algebra 。 Springer-Verlag, an introduction to algebra
M. Postnikov,Linear algebra and differential geometry,Mir Publishers
Puluosikuliekefu of the linear algebra problem sets
Fadeyev of the algebra problem sets
Lang. Serge , Linear algebra , Springer-Verlag
Friedberg “Linear Algebra” 4th ed. Prentice Hall
Axler “Linear Algebra Done Right” 2nd ed. Springer-Verlag
Hoffman & Kunz , Linear Algebra
Artin’s Algebra
Matrix theory
Advanced Linear Algebra” by Steven Roman.
[GSM], Dym, Linear Algebra in Action
Lax, Linear Algebra and its Applications
[UTX], Curtis, Abstract Linear Algebra
Gukeboxun (N.Jacobson) Lectures on Abstract Algebra ,II:Linear Algebra
GTM (Graduate Texts in Mathematics) No. 31 (” abstract algebra ” volume II : linear algebra)
Greub Linear Algebra(GTM23)
Israel Gelfand , Lectures on Linear Algebra, ” Linear Algebra “
“Introduction to Linear and Abstract Algebra” , http://www.math.miami.edu/~ec/book/
Strang, Linear algebra, Academic Press.
Jiang erxiong , Wu Jingkun ” Linear algebra”
Tu Boxun ” Advanced algebra ” , ” Linear algebra – Method guidance”
With Super ” An introduction to algebra “, Linear algebra and matrix theory, higher education press
Hua luogeng ” An introduction to higher mathematics”
High-dimensional ” Advanced algebra “( Shang , Xia)
Kenneth Lee Kwing-Chin , Cha Jianguo of the linear algebra of the University of science and technology of China Press
Linear algebra teacher Li Shangzhi
Zhang xianke higher algebra, Tsinghua University Press
Ye Mingxun introduction to the linear space of Wuhan University Press
Lin chengsen, Sheng pine “Advanced algebra”, such as Sturm Sequence, Shermon-Morrison Formulae of generalized inverse matrix
Nanjing University publishing, but seemed to be merged then there is never used again.
Domestic well higher algebra textbook and Tsinghua University Department of computer science, Tsinghua University Press
Mr Mo Zongjian “algebra”, which had a deep discussion
Wang Efang and Ding of the algebra.
The advanced algebra Department of mathematics of Peking University algebra and algebra before geometry teaching group Wang Efang, Shi Ming amendments
The higher algebra he Rui, Hao 鈵xin
The concise course of higher algebra blue
The understanding of matrix yan Meng
” Understanding the matrix (a) – (C) “
” Read the experiences and understanding of matrix categorized ” (http://blog.csdn.net/shirley329/)
Solution to the acquisition of higher algebra , The featured advanced algebra exercises Yang Zixu
The higher algebra (math study guide series) Yao
The higher algebra and analytic geometry Meng daoji
Higher algebra and analytic geometry , The exercises of higher algebra and analytic geometry explained Chan Chi Kit
In addition, XI ‘ an Jiaotong University
The higher algebra and geometry of Pan Zhongyan
Sun Yat-sen University
Of the geometry and algebra guide Hu guoquan
50 An introduction to the algebra kesitelijin of the
“Onward”
51 The guidance and solutions advanced algebra or the advanced algebra ( North-third edition ) • Teaching • learning exam
52 Of the high algebra problem sets 2 ( Revised edition ) Fajieyefu , Sominski with ; Dingshoutianyuan translation Outlook Czech Republic amendments
53 Written by puluosikuliekefu the linear algebra problem sets
“Books”
54 The higher algebra : Geng, theorems, problems and methods of Hu Shi , Written by Liu Xianzhong
55 The higher algebra learning exercises or the higher algebra of selected key Yang Zixu a
Yang Zixu Song Baohe compiled a book on modern algebra learning exercises also can be used as a future reference.
56 Of the high algebra problem solving method ( 2 ) Xu Fuhua , Written by Zhang xianke
“Increase”
60 The introduction to linear space Ye Mingxun authoring
61 The collection of inquiry advanced algebra topics Qiu Sen , Chief Editor Zhu linsheng
62 The matrix analysis and applications Andrew gold, written by Wu Huaan
63 Chen Hui of the modern algebra advanced algebra under the
D “linear algebra”
“Textbook”
65 Popular lectures on linear algebra written by Li Xuhong
“Onward”
“Books”
66 Of the linear algebra tutoring (Second Edition) Hu Jinde, Wang Feiyan series
67 Of the typical problems of linear algebra explains the 2 Written by Xu Fuhua
“Increase”
The Wuyi mathematics lecture elementary algebra lesson turned to look.
There is the linear algebra five talk written by Gong Sheng See also.