代换分析

内容简介

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本书为D·E·卢瑟福的经典著作, 讲述了对称群的初步观点, 主要有导数的计算、杨氏公式、基偶数导数, 表的计算、正交和自然表示法、不变量二次方程、矩阵、群的特性、代换方程等内容。

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目录

Chapter Ⅰ THE CALCUIUS OF PERMUTATIONS1 Permutations2 The Symmetric Group fn3 Cycles and Transpositions4 Odd and Even Permutations5 Classes of Permutations7 The Positive and Negative Symmetric Groups on r LettersChapter Ⅱ THE CALCULUS OF TABIEAUX1 Shapes and Tableaux2 The Substitutional Expressions P and N3 The Product PrNs4 The Expressions E5 von Neumann’s Theorem6 Young’s Formula7 Tableaux of Different ShapesChapter Ⅲ THE SEMI-NORMAL REPRESENTATION1 Standard Tableaux2 The Evaluation of fa3 The Semi-normal Units e4 Certain Fundamental Formulae5 The Irreducible Semi-normal Representations of fn6 Expressions which do not Involve the Last Letter7 The Semi-normal Matrix for E8 The Matrices U9 The Matrices UChapter Ⅳ THE ORTHOGONAL AND NATURAL REPRESENTATIONS1 Equivalent Representations2 The Invariant Quadratic3 The Tableau Function4 The Orthogonal Representation5 The Matrix 6 The Natural Representation7 Expressions for the Units g8 Equivalence of the Natural and Semi-normal RepresentationsChapter Ⅴ GROUP CHARACTERS1 The Expressions Cα2 The Expressions Tα3 The Relations between the Expressions Tκ and Cκ4 The Group Characters of fn5 The Evaluation of the Group Characters6 Reduction Formulae7 Littlewood’s TheoremChapter Ⅵ SUBSTITUTIONAL EQUATIONS1 Minimum Functions2 The Master Idempotent3 The Substitutional Properties of Functions4 The Number of Independent Solutions of LX = 05 The Solution of the Equation LX = 06 Functions which are Invariant under a Group of Substitutional Expressions7 Some Special Cases8 The Equation LX = RAppendix TABLES FOR THE CASE n = 3BibliographyIndex

封面

书名:代换分析

作者:(英)卢瑟福著

页数:112

定价:¥38.0

出版社:哈尔滨工业大学出版社

出版日期:2015-07-01

ISBN:9787560354583

PDF电子书大小:157MB 高清扫描完整版