File:NLC416-08jh008785-26078 微積分大意.pdf

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微積分大意   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
周為群編
image of artwork listed in title parameter on this page
Title
微積分大意
Publisher
開明書店[發行者]
Description

目錄
第一章 極限論和不定式
極限的意義
無限小
無限大
定理
定理
函數的極限值
不定式
第二章 微分法
引申函數
所加數
微分法
微分法的例示
dy/dx在幾何學上的意義
引申函數可以表示速率
加速率
第三章 微分法的公式
代數函數的微分法的公式
公式ⅰ的證法
公式ⅱ的證法
公式ⅲ的證法
公式ⅳ的證法
公式ⅴ的證法
公式ⅵ的證法
公式ⅶ的證法
對數和指數函數的微分法的公式
公式ⅷ的證法
公式ⅸ的證法
公式ⅹ的證法
公式ⅹⅰ的證法
公式ⅹⅱ的證法
三角函數的微分法的公式
公式ⅹⅲ的證法
公式ⅹⅳ的證法
公式ⅹⅴ的證法
公式ⅹⅵ的證法
公式ⅹⅶ的證法
公式ⅹⅷ的證法
反三角函數的微分法的公式
公式ⅹⅸ的證法
公式ⅹⅹ的證法
公式ⅹⅹⅰ的證法
公式ⅹⅹⅱ的證法
公式ⅹⅹⅲ的證法
公式ⅹⅹⅳ的證法
以dx/dy表明dy/dx
以dy/dz和dz/dx表明dy/dx，就是求函數的函數的引申函數
引申函數的引申函數，或微分係數的微分係數
記法
顯函數和隱函數
隱函數的微分法
第四章 無窮級數
級數的和
無窮級數
收斂級數和發散級數
正級數
定理
定理
比較檢驗法
定理
定理
定理
標準級數
比值檢驗法
定理
正負項都有的級數
定理
絕對收斂級數
定理
定理
各項是x的函數的級數
第五章 函數展開法
麥克老令的定理
麥克老令的定理的證法
以級數求值
對數的計算法
π的計算法
台洛的定理
台洛的定理的證法
第六章 再論不定式
決定不定式的0/0的值
中值定理
不定式0/0的普通定值法
決定不定式的∞/∞的值
決定不定式的0·∞和∞--∞的值
決定不定式〓，〓，〓的值
第七章 極大與極小
升函數和降函數
定義
極大與極小的必具條件
判別極大和極小的第二法
第八章 積分法
微分
積分和積分法
積分常數
定理
第九章 積分法的基本公式
基本公式
公式ⅰ——ⅳ的例題
公式ⅴ——ⅵ的例題
公式ⅶ——ⅸ的例題
公式ⅹ——ⅺ的例題
公式ⅻ的例題
第十章 三角函數的積分法 替代積分法 有理分數的積分法
三角函數的積分法
第一種形式
第二種形式
第三種形式
第四種形式
替代積分法
有理分數的積分法
第十一章 定限積分
定限積分
上下限交換
第十二章 面積與體積
面積
旋成體的體積
曲線的長
旋成面的面積

Language Chinese
Publication date 民國23[1934]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
微積分
中圖分類
InfoField
O172
載體形態
InfoField
168頁

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