File:NDL1088369 新編高等代数学.pdf

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新編高等代数学   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
渡辺, 孫一郎, 1885-1955
image of artwork listed in title parameter on this page
Title
新編高等代数学
Edition 修4版
Publisher
裳華房
Language jpn
Publication date

1923

大正12
Place of publication JP
Source

doi:10.11501/1088369

institution QS:P195,Q477675
Creator
InfoField
渡辺孫一郎 著
Publication Place
InfoField
東京
Subject: NDC
InfoField
412
Extent
InfoField
280p ; 23cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
43028227
Date Digitized: W3CDTF
InfoField
2010-03-31
Audience
InfoField
一般
Title Transcription
InfoField
シンペン コウトウ ダイスウガク
Publisher Transcription
InfoField
ショウカボウ
Source Identifier: NDLBibID
InfoField
000000575649
Call Number
InfoField
381-195イ
Creator Transcription: NDLNA
InfoField
ワタナベ, マゴイチロウ
Creator: NDLNAId
InfoField
00090831
Contents
InfoField
標題

目次

第一章 恒等式及ビ方程式/1

1 恒等式/1

2 方程式/2

3 必要條件,充分條件/3

4 剩餘定理/4

5 組立除法/8

第二章 整式及ビ代數方程式/12

6 方程式ノ重根/12

7 根ト係數トノ關係/13

8 對稱式/17

9 方程式ノ根ノ對稱式/20

10 交代式/23

11 判別式/27

第三章 函數ト「グラフ」/32

12 常數,變數,二變數ノ値ノ幾何學的表示/32

13 函數,函數ノ幾何學的表示/34

14 方程式ノ實根ノ圖的解法/39

15 指數函數/41

16 對數函數/44

17 常用對數/47

18 補間法/49

第四章 方程式ノ變換/56

19 特種ノ變換/56

20 一般ノ變換/60

第五章 實係數ヲ有スル方程式/65

21 實係數ヲ有スル方程式ノ虚根/65

22 二數間ニアル根ノ數/68

第六章 數字方程式/73

23 數字方程式ノ實根ノ近似値計算.正根ニ關スルHornerノ方法/73

24 省略算/77

25 多クノ正根ヲ有スル方程式/79

第七章 複素數/81

26 複素數/81

27 複素數ノ幾何學的表示/85

28 複素數ノ積,商ノ絶對値及ビ偏角/87

29 二數ノ和,差,積,商ノ幾何學的表示/88

30 Moivreノ定理/90

第八章 三次及ビ四次方程式ノ代數的解法/95

31 三次方程式ノ解法,Cardauノ方法/95

32 四次方程式ノ解法,Ferrariノ方法/98

第九章 數學的歸納法/100

33 歸納法/100

第十章 簡單ナル級數ノ和/103

34 級數ノ和ノ例解/103

第十一章 不等式/108

35 不等式ニ關スル基礎ノ定理/108

36 絶對不等式ト條件附不等式/111

37 不等式ノ解法/112

38 絶對不等式/115

第十二章 順列及ビ組合ノ數/122

39 定義/122

40 豫備定理/122

41 n個ノ物ノr順列ノ數ヲ求ムルコト/123

42 n個ノ物ノr組合ノ數ヲ求ムルコト/126

43 悉クハ相異ナラザルn個ノ物ノ中ヨリ一度ニr個ヅツ取リタル組合及ビ順列ノ數ヲ求ムルコト/128

44 同一物ヲ繰リ返シテ取ルコトヲ許ス場合ノ順列及ビ組合ノ數/130

45 類似ノ問題/132

第十三章 二項定理及ビ多項定理/136

46 二項定理/136

47 (1+x)nノ展開ニ於ケル最大係數及ビ最大項/139

48 二項係數ノ性質/141

49 一般ノ二項定理/143

50 多項定理/145

第十四章 行列式/149

51 轉倒/149

52 行列式ノ定義/151

53 行列式ノ性質/154

54 小行列式/160

55 餘因數/162

56 聯立一次方程式ノ解法/164

57 消去法/167

58 行列式ノ掛算/169

第十五章 確率/175

59 確率ノ第一ノ定義/175

60 確率ノ第二ノ定義/178

61 排反事象ノ確率/180

62 獨立事象及ビ從屬事象ノ確率/181

63 例解/184

64 獨立試行ニ關スル定理/187

65 期望金額/189

66 大數ノ法則/190

67 原因ノ確率/193

68 證言ノ確率/199

第十六章 導函數及ビ其應用/205

69 函數ノ極限値/205

70 導函數/206

71 整式ノ導函數/208

72 方程式ノ等根ノ決定/209

73 導函數ノ幾何學的意義/211

74 導函數ノ符號ト函數ノ値ノ増減トノ關係/212

75 Sturmノ定理/217

問題ノ答/227~232

附録 數ノ概念ニツキテ/233

1 自然數ノ第一定義/233

2 自然數ノ第二定義/240

3 自然數ノ四則算法/244

4 零,負數/247

5 分數/251

6 無理數/255

7 實數ノ性質/259

8 實數ノ加減乘除/263

9 複素數/267

和英獨對照術語表/271

索引/277

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