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高級中學代數學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
李仲珩 尹國均編著
image of artwork listed in title parameter on this page
Title
高級中學代數學
Publisher
正中書局[發行者]
Description

目錄
第一章 數系大意及運算律
1.2 實數系
1.3 實數的題解
習題1.1
1.3 基本運算公律
1.4 實數的運算
1.5 減法與除法
1.6 指數律
習題1.2
第二章 代數式的運算
2.1 代數式
2.2 常數和變數
2.3 代數式或代數函數的分類
2.4 有理整式的次數
習題2.1
2.5 代數式的加減
習題2.2
2.6 代數式的乘法
2.7 恆等式
習題2.3
2.8 代數式的除法
2.9 分離係數法
2.10 綜合除法
習題2.4
2.11 用次數較低的多項式表次數較高的多項式
習題2.5
2.12 因式
2.13 析因式法
習題2.6
2.14 餘式定理
2.15 充要條件
2.16 因式定理
習題2.7
2.17 有理整式的特性
2.18 未定係數法
習題2.8
2.19 恆等式證法
習題2.9
2.20 對稱式
2.21 交叉式和輪換式
2.22 對稱式交代式和輪換式的關係
習題2.10
2.23 對稱式交代式和輪換式的析因式法
習題2.11
2.24 最高公因
2.25 求二多項式的h.c.f的〓則
習題2.12
2.26 最低公倍式
習題2.13
2.27 比及比例
2.28 關於比例的定理
習題2.14
第三章 一次方程式與一次函數
3.1 方程式
3.2 同解變易
3.3 一元一次方程式的解
習題3.1
3.4 應用問題
習題3.2
3.5 聯立方程式
3.6 二元一次聯立方程式
習題3.3
3.7 二級行列式
習題3.4
3.8 二元一次齊次方程組
3.9 二元一次方程式解的討論
習題3.5
3.10 多元一次聯立方程式
3.11 應用問題
習題3.6
3.12 變數法
習題3.7
3.13 函數
3.14 坐標
3.15 函數的圖解
習題3.8
3.16 一次函數的圖解
3.17 二元一次聯立方程式的圖解法
習題3.9
3.18 一元一次方程式的根的圖解
習題3.10
第四章 不等式
4.1 不等式
4.2 絕不等式
4.3 條件不等式
習題4.1
第五章 高次方程式和有理整函數
5.1 一元二次方程式
習題5.1
5.2 根的討論和判別式
5.3 根和係數的關係
5.4 根的對稱式
習題5.2
5.5 高於二次的方程式
5.6 准二次方程式
習題5.3
5.7 倒數方程式
5.8 二項方程式
習題5.4
5.9 高次聯立方程式
習題5.5
5.10 用加減法和折因式法解高次聯立方程式
習題5.6
5.11 用除法求解的聯立方程式
習題5.7
5.12 對稱方程組
習題5.8
5.13 多元聯立方程式
習題5.9
5.14 極大和極小
5.15 二次函數的變值
5.16 二次函數的符號
習題5.10
5.17 分式
5.18 分式的變形
5.19 約分
習題5.11
5.20 分式的加減
5.21 分式的乘除
5.22 繁分式的簡約法
習題5.12
5.23 不定式
5.24 〓在圖解上的意義
習題5.13
5.25 〓在圖解上的意義
5.26 〓在圖解上的意義
習題5.14
5.27 極限的定義
5.28 無限小
5.29 極限定理
5.30 不定式求限
5.31 無限大的意義
習題5.15
5.32 分式方程式
習題5.16
5.33 分項分式
習題5.17
第六章 無理函數
6.1 無理函數
6.2 〓的主值
6.3
習題6.1
6.4 〓的意義
習題6.2
6.5 根式的簡化
習題6.3
6.6 根式的運算
習題6.4
6.7 有理化根式
習題6.5
6.8 無理方程式
6.9 無理方程式的應用問題
習題6.6
6.10 多項式的開方
習題6.7
第七章 級數
7.1 算術級數
7.2 a.p.的第n項
7.3 a.p.前n項的和
習題7.1
7.4 等差中項
習題7.2
7.5 幾何級數
7.6 g.p.的第n項
7.7 g.p.前n項的和
習題7.3
7.8 等比中項
7.9 項數無窮的遞減幾何級數
7.10 循環小數
習題7.4
7.11 調和級數
7.12 調和中項
7.13 算術中項幾何中項和調和中項的關係
習題7.5
7.14 級數求和雜例
習題7.6
第八章 指數函數
8.1 指數的擴充
習題8.1
8.2 無理數指數
8.3 〓函數和指數函數
習題8.2
8.4 指數函數ax的特性
習題8.3
8.5 對數的定義
8.6 對數函數的圖解
習題8.4
8.7 對數函數的性質
習題8.5
8.8 常用對數和常用對數表的造法
8.9 定位部和定值部
8.10 對數表的查法
習題8.6
8.11 對數的應用
8.12 余對數
8.13 對數表的精確度
習題8.7
8.14 對數底數的變換
8.15 指數和對數方程式
習題8.8
8.16 利息
習題8.9
8.17 年金
習題8.10
第九章 排配分析
9.1 排列
9.2 n個不同物件每次只取r個的排列數
習題9.1
9.3 環狀排列
9.4 重複排列
習題9.2
9.5 物件不盡相〓排列
習題9.3
9.6 配合
習題9.4
9.7 重複的配合數
9.8 關於配合的幾個公式
習題9.5
9.9 二項式定理
習題9.6
9.10 算學歸納法
9.11 二項式定理的發明
習題9.7
9.12 ncr的最大值
習題9.8
第十章 或然率
10.1 或然率
習題10.1
10.2 獨立事件
10.3 互斥事件
習題10.2
10.4 或然率的意義
10.5 簡單事件的重複嘗試
10.6 期望數
習題10.3
第十一章 複數
11.1 複數
11.2 虛數和複數的運算
習題11.1
11.3 複數的絕對值
11.4 複數的特性
11.5 複數的乘冪和方根
習題11.2
11.6 複數的圖解
11.7 複數圖解上的和差或商
習題11.3
11.8 棣莫弗(de moivre)定理
11.9 複數的方根
習題11.4
第十二章 方程式論
12.1 有理整方程式
12.2 方程式的根
12.3 方程式的通性
習題12.1
12.4 數學方程式的存理根
12.5 根的上下限
習題12.2
12.6 根和係數的關係
12.7 根的對稱函數
習題12.3
12.8 方程式的變易
習題12.4
12.9 虛根　定理
12.10 制號和改號
12.11 笛卡式（desoartes）符號律
習題12.5
12.12 無理根的近似求法
12.13 忽拿氏法
習題12.6
12.14 導微函數
12.15 泰勒（taylor）氏定理
12.16 重根
習題12.7
12.17 牛頓氏無理根之近似求法
習題12.8
12.18 方程式的代數解法
12.19 三次方程式
12.20 三次方程式解的討論
習題12.9
12.21 四次方程式
習題12.10
第十三章 行列式論
13.1 逆式
13.2 行列式的定義
13.3 沙拉（sarrus）氏律
習題13.1
13.4 行列式的特性
習題13.2
13.5 子行列式
13.6 余因式
13.7 行列式〓法
習題13.3
13.8 聯立一次方程式的解
13.9 聯立齊次方程式
13.10 n元聯立一次方程式中方程式各數多於或少於n的情形
習題13.4
13.11 消去法
13.12 利用消去法解高次聯立方程式
習題13.5
第十四章 無窮級數
14.1 無窮級數
14.2 〓
14.3 〓
14.4 〓必要條件
習題14.1
14.5 正項級數
14.6 p級數
習題14.2
14.7 達朗貝耳（d'alembert）氏〓法
習題14.3
14.8 〓的級數
習題14.4
14.9 〓號級數
14.10 絕對〓和條件收斂
習題14.5
14.11 無窮〓級數
習題14.6
14.12 函數的展開
習題14.7
14.13 無理整數的展開
習題14.8
14.14 （1+x）n的展式
習題14.9
14.15 自然對數的底
14.16 e值的計算
習題14.10
14.17 超越函數的展開
習題14.11
14.18 循環級數
14.19 循環級數的和
習題14.12
14.20 無窮積
習題14.13
第十五章 連分數
15.1 連分數
15.2 有限連分數
15.3 漸近分數
習題15.1
15.4 無理連分數
15.5 循環連分數
15.6 化無理數為無限連分數
習題15.2
15.5 一次不定方程式的整數解
習題15.3
附 四位數對數表
乘方與方根表
複利〓表
中西名詞索引

Language Chinese
Publication date 民國三十五年[1946]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.62/90
主題
InfoField
代數
中圖分類
InfoField
G634.62
載體形態
InfoField
418頁

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