矩陣群:李群理論基礎(簡體書)
商品資訊
ISBN13:9787302214847
出版社:清華大學出版社(大陸)
作者:(美)貝克
出版日:2009/11/01
裝訂:平裝
規格:23.5cm*16.8cm (高/寬)
版次:1
人民幣定價:45 元
定價
:NT$ 270 元優惠價
:87 折 235 元
絕版無法訂購
商品簡介
目次
相關商品
商品簡介
本書講述李群和李代數基礎理論,內容先進,講述方法科學,易于掌握和使用。書中有大量例題和習題(附答案或提示),便于閱讀。適合用作大學數學系和物理系高年級本科生選修課教材、研究生課程教材或參考書。
目次
Part I. Basic Ideas and Examples
1. Real and Complex Matrix Groups
1.1 Groups of Matrices
1.2 Groups of Matrices as Metric Spaces
1.3 Compactness
1.4 Matrix Groups
1.5 Some Important Examples
1.6 Complex Matrices as Real Matrices
1.7 Continuous Homomorphisms of Matrix Groups
1.8 Matrix Groups for Normed Vector Spaces
1.O Continuous Group Actions
2. Exponentials, Differential Equations and One-parameter Subgroups
2.1 The Matrix Exponential and Logarithm
2.2 Calculating Exponentials and Jordan Form
2.3 Differential Equations in Matrices
2.4 One-parameter Subgroups in Matrix Groups
2.5 One-parameter Subgroups and Differential Equations
3. Tangent Spaces and Lie Algebras
3.1 LieAlgebras.
3.2 Curves, Tangent Spaces and Lie Algebras
……
4. Algebras, Quaternions and Quaternionic Symplectic Groups
5. Clifford Algebras and Spinor Groups
6. Lorentz Groups
Part II. Matrix Groups as Lie Groups
7. Lie Groups
8. Homogeneous Spaces
9. Connectivity of Matrix Groups
Part III. Compact Connected Lie Groups and their Classification
10. Maximal Tori in Compact Connected Lie Groups
11. Semi simple Factorisation
12. Roots Systems, Weyl Groups and Dynkin Diagrams
Hints and Solutions to Selected Exercises
Bibliography
Index
1. Real and Complex Matrix Groups
1.1 Groups of Matrices
1.2 Groups of Matrices as Metric Spaces
1.3 Compactness
1.4 Matrix Groups
1.5 Some Important Examples
1.6 Complex Matrices as Real Matrices
1.7 Continuous Homomorphisms of Matrix Groups
1.8 Matrix Groups for Normed Vector Spaces
1.O Continuous Group Actions
2. Exponentials, Differential Equations and One-parameter Subgroups
2.1 The Matrix Exponential and Logarithm
2.2 Calculating Exponentials and Jordan Form
2.3 Differential Equations in Matrices
2.4 One-parameter Subgroups in Matrix Groups
2.5 One-parameter Subgroups and Differential Equations
3. Tangent Spaces and Lie Algebras
3.1 LieAlgebras.
3.2 Curves, Tangent Spaces and Lie Algebras
……
4. Algebras, Quaternions and Quaternionic Symplectic Groups
5. Clifford Algebras and Spinor Groups
6. Lorentz Groups
Part II. Matrix Groups as Lie Groups
7. Lie Groups
8. Homogeneous Spaces
9. Connectivity of Matrix Groups
Part III. Compact Connected Lie Groups and their Classification
10. Maximal Tori in Compact Connected Lie Groups
11. Semi simple Factorisation
12. Roots Systems, Weyl Groups and Dynkin Diagrams
Hints and Solutions to Selected Exercises
Bibliography
Index
主題書展
更多
主題書展
更多書展今日66折
您曾經瀏覽過的商品
購物須知
大陸出版品因裝訂品質及貨運條件與台灣出版品落差甚大,除封面破損、內頁脫落等較嚴重的狀態,其餘商品將正常出貨。
特別提醒:部分書籍附贈之內容(如音頻mp3或影片dvd等)已無實體光碟提供,需以QR CODE 連結至當地網站註冊“並通過驗證程序”,方可下載使用。
無現貨庫存之簡體書,將向海外調貨:
海外有庫存之書籍,等候約45個工作天;
海外無庫存之書籍,平均作業時間約60個工作天,然不保證確定可調到貨,尚請見諒。
為了保護您的權益,「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。
若要辦理退貨,請在商品鑑賞期內寄回,且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。