File:NLC416-08jh013674-31469 行列論.pdf

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行列論   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔日〕藤原松三郎著
image of artwork listed in title parameter on this page
Title
行列論
Publisher
商務印書館[發行者]
Description

目錄
第一章 行列式
第一節 行列式之基本性質
1.1 行列式概念發生之過程
1.2 順列
1.3 行列及行列式
1.4 行列式之基本性質
1.5 行列式之特有性質
1.6 轉置行列與轉置行列式
1.7 行列及行列式之積
1.8 矩形行列之積
第二節 行列式之展開
1.9 小行列式與余因子
1.10 laplace之展開
第三節 聯立一次方程式
1.11 n個變數之n個一次方程式
1.12 行列及行列式之階數
1.13 一次式之一次的獨立性
1.14 聯立齊次一次方程式
1.15 非齊次的聯立一次方程式
1.16 一次不等式
第四節 行列式之諸定理及其應用
1.17 相反行列式
1.18 jacobl之定理
1.19 vandermonde之行列式
1.20 jacobl行列式
1.21 andreief-stieltjes之公式
1.22 hadamard之定理
1.23 bloch-polya之定理
1.24 幾何學上之問題
1.25 終結式與判別式
1.26 立方行列式
第二章 行列
第一節 行列之演算
2.1 行列之和差及積
2.2 單位行列對角行列
2.3 逆行列
2.4 hermite行列或h行列
2.5 u行列
2.6 向量空間
2.7 正規直交系
2.8 向量之變換
2.9 一次變換之合成
2.10 一次變換及行列之分解
2.11 行列函數
2.12 以行列為元素者之行列
2.13 kronecker之積
2.14 以函數為元素者之行列
第二節 hermite形式
2.15 雙一次形式
2.16 hermite形式
2.17 對立變換
2.18 u變換
2.19 行列之指標根
2.20 直交變換
2.21 h形式之主軸問題，或固有值問題
2.22 關於指標根之frobenius氏定理
第三節 行列方程式
2.23 行列之最小整式
2.24 行列之零點集合
2.25 一行列變為對角行列之變換
第四節 單因子
2.26 行列之單因子
2.27 兩行列相似之條件
2.28 行列之標準形
2.29 行列環，行列群
第三章 無限行列
第一節 無限行列之演算
3.1 無限行列
3.2 逆行列
第二節 hilbert空間
3.3 向量
3.4 hilbert空間
3.5 向量之內積之性質
3.6 正規直交系
3.7 強收斂與弱收斂
第三節 一次形式與雙一次形式
3.8 連續與完全連續
3.9 一次形式
3.10 有界行列
3.11 雙一次形式
3.12 完全連續之雙一次形式
3.13 hermits形式
3.14 hermite形式之固有值問題
3.15 無限多變數之一次方程式
3.16 無限行列式
文獻
索引

Language Chinese
Publication date 民國25[1936]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
行列式
中圖分類
InfoField
O151.22
載體形態
InfoField
270頁

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