File:NDL1056792 実用高等数学 上巻 part1.pdf

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実用高等数学   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
堀, 乙次郎
image of artwork listed in title parameter on this page
Title
実用高等数学
Volume 上巻
Publisher
海事教育振興会
Language jpn
Publication date

1933

昭和8
Place of publication JP
Source

doi:10.11501/1056792

institution QS:P195,Q477675
Creator
InfoField
堀乙次郎 編
Publication Place
InfoField
本庄村 (兵庫県)
Subject: NDC
InfoField
413
Extent
InfoField
338p ; 23cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
44054020
Date Digitized: W3CDTF
InfoField
2010-03-31
Audience
InfoField
一般
Title Transcription
InfoField
ジツヨウ コウトウ スウガク
Volume Transcription
InfoField
1
Publisher Transcription
InfoField
カイジ キョウイク シンコウカイ
Source Identifier: NDLBibID
InfoField
000000650334
Call Number
InfoField
特233-599
Creator Transcription: NDLNA
InfoField
ホリ, オトジロウ
Creator: NDLNAId
InfoField
00012495
Contents
InfoField
標題

目次

數學公式集/1p~5p

第一編

解析幾何學〔I〕

第一章 凾數及座標

1 變數及定數/1p

2 凾數/2p

3 凾數ノ種類/4p

4 座標/7p

5 座標ノ正負/8p

6 二點間ノ距離/13p

7 内分點及外分點ノ座標/16p

8 方程式トソノ曲線/19p

9 曲線トソノ方程式/24p

第二章 直線

10 直線ノ角ト角係數/29p

11 二點ヲ結ブ直線ノ角係數/30p

12 角係數ガmニシテyノ截片ガbナル直線ノ方程式/32p

13 直線ノ方程式ハx,yノ一次方程式ナリ/33p

14 x,yノ一次方程式ハ直線ヲ表ハス/34p

15 一點P(x1y1)ヲ通ル直線ノ方程式/36p

16 二點P(x1y1)及(x2y2)ヲ通ル直線ノ方程式/36p

17 二直線ノ交點ノ座標/37p

18 二直線ノ交角/38p

第三章 圓錐曲線

19 圓/42p

20 方程式x2+y2-2ax-2bx+c=0ノ表ハス圓/43p

21 直線ト圓トノ交點/45p

22 切線ノ方程式/46p

23 橢圓/49p

34 離心率/51p

25 圓ト橢圓トノ關係/51p

26 双曲線/53p

27 双曲線ノ漸近線/56p

28 直角双曲線/58p

29 抛物線/60p

30 抛物線ノ方程式トソノ向キ/62p

31 二次曲線ト圓錐曲線/64p

32 極座標/66p

第二編

微分積分學

第一章 極限値ト無限小

33 極限値/69p

34 極限ニ關スル定理/71p

35 無限小無限大及有限値/73p

36 二ツノ無限小ノ比ノ極限/74p

37 lim x〓0 sinx/x=1及lim x〓0 tanx/x=1/76p

第二章 微分法

38 微係數/78p

39 微係數ノ例題/80p

40 微分基本公式/83p

41 凾數ノ凾數ノ微係數/88p

第三章 微係數ノ意義

42 幾何學的意義/91p

43 切線及法線ノ方程式/92p

44 微係數ノ物理的意義/95p

45 加速度/100p

46 角速度ト角加速度/101p

47 角速度ト線速度/102p

48 變化ノ割合/104p

49 微分/107p

第四章 不定積分

50 積分法/110p

51 積分定數/111p

52 積分ノ基本公式/113p

53 置換積分法/115p

第五章 定積分

54 定積分ノ定義/120p

55 面積ヲ表ハス積分〔I〕/122p

56 面積ヲ表ハス積分〔II〕/125p

57 定積分ノ性質/131p

58 圓及橢圓ノ面積/137p

59 極座標ニ於ケル曲線ノ面積/142p

60 曲線ノ長サ

61 廻轉體ノ體積及其表面積

第六章 積分ノ近似公式ト面積計

62 梯形法/152p

63 しんぷそん法/153p

64 Durand’s Rule/155p

65 近似公式ノ例題/157p

66 體積ノ近似公式/160p

67 「プラニメーター」ノ原理/161p

第七章 積分ノ應用問題

68 速度ト通過セル距離/167p

69 仕事/168p

70 壓力/170p

71 Cylinder内ニテナサレタルWork/172p

72 圓筒形汽罐ノ問題/177p

73 竪軸承ニ於ケル摩擦ノ問題/179p

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