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代換分析 版權(quán)信息
- ISBN：9787560354583
- 條形碼：9787560354583 ; 978-7-5603-5458-3
- 裝幀：一般膠版紙
- 冊數(shù)：暫無
- 重量：暫無
- 所屬分類：>>
代換分析 內(nèi)容簡介
本書為D·E·盧瑟福的經(jīng)典著作, 講述了對稱群的初步觀點(diǎn), 主要有導(dǎo)數(shù)的計(jì)算、楊氏公式、基偶數(shù)導(dǎo)數(shù), 表的計(jì)算、正交和自然表示法、不變量二次方程、矩陣、群的特性、代換方程等內(nèi)容。
代換分析 目錄
Chapter Ⅰ THE CALCUIUS OF PERMUTATIONS
1 Permutations
2 The Symmetric Group fn
3 Cycles and Transpositions
4 Odd and Even Permutations
5 Classes of Permutations
7 The Positive and Negative Symmetric Groups on r Letters
Chapter Ⅱ THE CALCULUS OF TABIEAUX
1 Shapes and Tableaux
2 The Substitutional Expressions P and N
3 The Product PrNs
4 The Expressions E
5 von Neumann's Theorem
6 Young's Formula
7 Tableaux of Different Shapes
Chapter Ⅲ THE SEMI-NORMAL REPRESENTATION
1 Standard Tableaux
2 The Evaluation of fa
3 The Semi-normal Units e
4 Certain Fundamental Formulae
5 The Irreducible Semi-normal Representations of fn
6 Expressions which do not Involve the Last Letter
7 The Semi-normal Matrix for E
8 The Matrices U
9 The Matrices U
Chapter Ⅳ THE ORTHOGONAL AND NATURAL REPRESENTATIONS
1 Equivalent Representations
2 The Invariant Quadratic
3 The Tableau Function
4 The Orthogonal Representation
5 The Matrix
6 The Natural Representation
7 Expressions for the Units g
8 Equivalence of the Natural and Semi-normal Representations
Chapter Ⅴ GROUP CHARACTERS
1 The Expressions Cα
2 The Expressions Tα
3 The Relations between the Expressions Tκ and Cκ
4 The Group Characters of fn
5 The Evaluation of the Group Characters
6 Reduction Formulae
7 Littlewood's Theorem
Chapter Ⅵ SUBSTITUTIONAL EQUATIONS
1 Minimum Functions
2 The Master Idempotent
3 The Substitutional Properties of Functions
4 The Number of Independent Solutions of LX = 0
5 The Solution of the Equation LX = 0
6 Functions which are Invariant under a Group of Substitutional Expressions
7 Some Special Cases
8 The Equation LX = R
Appendix TABLES FOR THE CASE n = 3
Bibliography
Index
1 Permutations
2 The Symmetric Group fn
3 Cycles and Transpositions
4 Odd and Even Permutations
5 Classes of Permutations
7 The Positive and Negative Symmetric Groups on r Letters
Chapter Ⅱ THE CALCULUS OF TABIEAUX
1 Shapes and Tableaux
2 The Substitutional Expressions P and N
3 The Product PrNs
4 The Expressions E
5 von Neumann's Theorem
6 Young's Formula
7 Tableaux of Different Shapes
Chapter Ⅲ THE SEMI-NORMAL REPRESENTATION
1 Standard Tableaux
2 The Evaluation of fa
3 The Semi-normal Units e
4 Certain Fundamental Formulae
5 The Irreducible Semi-normal Representations of fn
6 Expressions which do not Involve the Last Letter
7 The Semi-normal Matrix for E
8 The Matrices U
9 The Matrices U
Chapter Ⅳ THE ORTHOGONAL AND NATURAL REPRESENTATIONS
1 Equivalent Representations
2 The Invariant Quadratic
3 The Tableau Function
4 The Orthogonal Representation
5 The Matrix
6 The Natural Representation
7 Expressions for the Units g
8 Equivalence of the Natural and Semi-normal Representations
Chapter Ⅴ GROUP CHARACTERS
1 The Expressions Cα
2 The Expressions Tα
3 The Relations between the Expressions Tκ and Cκ
4 The Group Characters of fn
5 The Evaluation of the Group Characters
6 Reduction Formulae
7 Littlewood's Theorem
Chapter Ⅵ SUBSTITUTIONAL EQUATIONS
1 Minimum Functions
2 The Master Idempotent
3 The Substitutional Properties of Functions
4 The Number of Independent Solutions of LX = 0
5 The Solution of the Equation LX = 0
6 Functions which are Invariant under a Group of Substitutional Expressions
7 Some Special Cases
8 The Equation LX = R
Appendix TABLES FOR THE CASE n = 3
Bibliography
Index
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