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File:NLC416-17jh002816-109320 新制代數學教本.pdf

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新制代數學教本   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
王永炅 胡樹楷編
image of artwork listed in title parameter on this page
Title
新制代數學教本
Publisher
中華書局[總發行者]
Description

None

目錄
第一編 緒論
第一章 字母之代用法
代數記號
問題之代數解法
例題
方程式應用問題之解法
例題
第二章 定義
代數學
符號
代數式及項
代數式之數值
例題
整式及分數式
括弧
例題
第三章 代數上之數及各原則
代數上之數
絕對值
代數上之數之應用
例題
代數上之數之加法減法
交換規則及結合規則
例題
代數上之數之乘法除法
交換規則及結合規則
配分規則
例題
摘要代數上之數之四則
加法 減法 乘法 除法 零
第二編 整式
第一章 整式之加法減法
同類項
例題
整式之和與差
整式各項之次序
例題
括弧用法
例題
第二章 整式之乘法
指數規則
一項式與一項式之積
多項式與一項式之積
例題
多項式與多項式之積
例題
次數
例題
第三章 整數之除法
指數規則
一項式以一項式除之
多項式以一項式除之
例題
多項式以多項式除之
例題
例題
雜題ⅰ
第三編 一次方程式
第一章 一元一次方程式
等式
未知數及既知數
一元一次方程式
方程式之根
公理
移項
方程式之解法
例題
應用問題之解法
例題
第二章 聯立一次方程式
加減消去法
例題
代入消去法
例題
比較消去法
例題
三元一次聯立方程式
例題
應用問題之解法
例題
雜題ⅱ
第四編 因數及倍數
第一章 乘除之公式
二數之和之平方
二數之差之平方
二數之和與差之積
例題
兩二項式之積
例題
二立方之和與差
兩同乘冪之和與差
例題
第二章 因數分解
括出公因數之法
例題
完全平方
完全平方之三項式
兩平方之差之二項式
例題
形如x〓2＋ax＋b三項式之因數
形如ax〓2＋bx十c三項式之因數
例題
兩立方之和及差之二項式
例題
例題
利用因數分解之代數計算
例題
利用因數分解求方程式之根
例題
第三章 最高公因數
因數及公因數
最高公因數
ⅰ. 可由視察知其因數之例
例題
ⅱ. 不能由視察知其因數之例
例題
三式之最高公因數
例題
第四章 最低公倍數
倍數及公倍數
最低公倍數
ⅰ. 可由視察知其因數之例
例題
ⅱ. 不能由視察知其因數之例
例題
雜題ⅲ
第五編 分數式
分數式
分數式化為最簡之法〔約分法〕
例題
分數式化為帶分數式〔由整式與分數式二者所成之式〕之法
帶分數式化為分數式之法
例題
二以上之分數式化為最低公分母之法〔通分法〕
例題
加法及減法
例題
乘法
逆數
除法
例題
繁分數式
例題
第六編 分數方程式
第一章 分數方程式
分數方程式
例題
第二章 字母方程式
字母方程式
例題
第三章 分數方程式及字母方程式之應用
應用問題之解法
例題
第四章 聯立一次方程式
聯立二元一次方程式之根之公式
例題
聯立一次方程式之雜例
例題
應用問題之解法
例題
雜題ⅳ
第七編 冪及冪根
第一章 自乘法
自乘法
例題
第二章 開方法
開方法
代數式之分類
例題
三項式之平方根
例題
四項式之立方根
例題
第三章 多項式之平方根及立方根
多項式之平方根
例題
多項式之立方根
例題
第四章 數之平方根
開平九九表
能開盡平方根之例
例題
分數平方根之例
不能開盡平方根之例
例題
第五章 數之立方根
開立九九表
能開盡立方根之例
例題
分數立方根之例
不能開盡立方根之例
例題
雜題ⅴ
第八編 二次方程式（ⅰ）
第一章 一元二次方程式
純二次方程式之解法
例題
完全二次方程式之解法
例題
例題
普通之解法
例題
第二章 一元二次方程式之性質
例題
根與係數之關係
已知其根求作方程式之法
例題
二次方程式應用問題之解法
例題
第九編 二次方程式（ⅲ）
第一章 准二次方程式
復二次方程式
由視察能求得之根
逆數方程式
二項方程式
例題
第二章 根式方程式
例題
第三章 聯立二次方程式
代入解法
同次之例
例題
雜例
例題
應用問題之解法
例題
雜題ⅵ
摘要 二次方程式
附錄 中西名詞對照表

Language Chinese
Publication date 民國五年[1916]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
代數
載體形態
InfoField
10,228頁

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current17:50, 22 April 2023Thumbnail for version as of 17:50, 22 April 2023683 × 1,027, 251 pages (3.91 MB)PencakeBot (talk | contribs)Upload 新制代數學教本 (1/1) by 王永炅,胡樹楷編 (batch task; nlc:data_416,17jh002816,109320; 民國圖書-PD2022.5; 新制代數學教本)

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