File:NLC416-13jh009272-61944 算學.pdf

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算學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
陳藎民編
image of artwork listed in title parameter on this page
Title
算學
Publisher
商務印書館[發行者]
Description

目錄
第一編 整數（數之起源）
一章 整數的起源和它的運算
§1 數的起源——名數——不名數，
§2 自然數——自然數系，
§3 自然數系是序系，
§4 純數與序數，
§5 命數法，
§6 數值記號，
§7 一對一和等式，
§8 等式的對稱性及傳遞性，
§9 不等式，
§10 不等式的傳遞性，
§11 四則，
§12 加法在四則中之重要，
§13 加法定義，
§14 加法的運算律，
§15 乘法定義，
§16 乘法運算律，
§17 冪—根—指數，
§18 指數定律，
§19 記數法，
§20 減法定義，
§21 減法運算律，
§22 除法定義，
§23 餘數處置法，
§24 除法和零的關係，
§25 除法運算律，
§26 四則運算的三大定律，
§27 三大定律還原的應用，
§28 運算符號和式，
§29 乘除運算律，
§30 四則運算的次序和括號使用法。
第二章 算草和速算
§31 算草，
§32 加法算草，
§33 速加法，
§34 心算練習法，
§35 速加測驗，
§36 減法算草，
§37 速減法，
§38 乘法算草，
§39 速乘法，
§40 速乘法測驗，
§41 除法算草，
§42 速除法。
第三章 約數和倍數
§43 約數及倍數的定義，
§44 偶數和奇數，
§45 公約數，
§46 約數和倍數的定理，
§47 定理的應用，
§48 質數及合數，
§49 質因數，
§50 因數分解，
§51 最大公約數，
§52 求g.c.m.的基本原理，
§53 g.c.m.求法，
§54 互質數和兩對兩的互值數，
§55 公倍數和最小公倍數，
§56 l.c.m.求法。
第四章 簡便算
§57 速算，
§58 加的簡便算，
§59 補數，
§60 減的簡便算，
§61 漸乘法，
§62 簡除法。
第二編 分數（數系擴充之一）
第五章 分數的起源和它的運算
§63 不連續量和連續量，
§64 連續量和分數的定義，
§65 近似值，
§66 分數的基礎性質，
§67 擴分與約分，
§68 分數的類別，
§69 通分，
§70 分數大小的比較法，
§71 分數加減法
§72 分數乘法，
§73 分數的冪，
§74 倒數，
§75 分數除法，
§76 繁分數。
第六章 分數和小數
§77 十進法和十退法，
§78 小數的起源及定義，
§79 小數的命名，
§80 小數的特性，
§81 通位法，
§82 十退分數和非十退分數，
§83 十退分數和小數互化法，
§84 非十退分數和循環小數，
§85 循環小數的要性，
§86 循環小數通位法，
§87 分數種類和小數種類的關係，
§88 化純循環小數為分數法，
§89 化混循環小數為分數法，
§90 有限小數加減法，
§91 循環小數加減法，
§92 有限小數乘法，
§93 有限小數除法，
§94 循環小數乘除法。
第三編 數和量的關係
第七章 單位
§95 量數和單位，
§96 單位的種類和進率，
§97 度量衡，
§98 米制的長度單位，
§99 面積的單位，
§100 體積的單位千進法，
§101 米制的容量單位，
§102 米制的重量單位，
§103 我國現行權度制，
§104 外國權度制，
§105 主幣輔幣，
§106 我國現行幣制，
§107 外國幣制，
§108 國幣和外幣的比較，
§109 時間的單位。
第八章 復名數運算
§110 單名數復名數，
§111 十進復名數的通法和命法，
§112 非十進復名數的通法，
§113 非十進復名數命法，
§114 非十進復名數加減法，
§115 非十進復名數乘法，
§116 非十進復名數除法。
第九章 省略算（近似計算）
§117 近似值在日常生活上的重要，
§118 近似值的選擇，
§119 近似值和零記號，
§120 絕對誤差相對誤差，
§121 省略算，
§122 省略加法，
§123 省略減法，
§124 省略乘法，
§125 省略除法。
第十章 比和比例
§126 比和除法，
§127 比的種類，
§128 比的特性，
§129 比的運算律，
§130 正比反比，
§131 單比複比，
§132 連比，
§133 比重，
§134 比例，
§135 比例的基本定理，
§136 正比例正變，
§137 反比例反變，
§138 比例的應用，
§139 歸一法，
§140 複比例，
§141 連鎖法，
§142 配分法，
§143 混合法。
第十一章 百分法（percentages）
§144 問題1，
§145 問題2，
§146 百分法百分率，
§147 符號，
§148 化小數為百分率的法則，
§149 化分數為百分率的法則，
§150 百分率和子數母數的關係，
§151 百分法的應用，
§152 佣錢，
§153 折扣連折扣，
§154 賺賠，
§155 保險，
§156 賦稅。
第四編 無理數（數系擴充之二）
第十二章 開方　無理數的近似值求法
§157 乘冪開方，
§158 根的記號，
§159 開平方的應用，
§160 無理數，
§161 無理數的近似值，
§162 開平方，
§163 開立方。
附錄 乘冪開方表

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/O121/30
主題
InfoField
算術
中圖分類
InfoField
O121
載體形態
InfoField
244頁

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