File:NDL828375 方程式論 part1.pdf

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Original file (5,693 × 4,435 pixels, file size: 90.43 MB, MIME type: application/pdf, 100 pages)

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Summary

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方程式論   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
松村, 定次郎
image of artwork listed in title parameter on this page
Title
方程式論
Series title 高等数学講義
Publisher
博文館
Language jpn
Publication date

1910

明43.10
Place of publication JP
Source

doi:10.11501/828375

institution QS:P195,Q477675
Creator
InfoField
松村定次郎 著
Publication Place
InfoField
東京
Subject: NDC
InfoField
412
Extent
InfoField
298p ; 19cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
40052536
Audience
InfoField
一般
Title Transcription
InfoField
ホウテイシキ ロン
Series Title Transcription
InfoField
コウトウ スウガク コウギ
Publisher Transcription
InfoField
ハクブンカン
Source Identifier: NDLBibID
InfoField
000000469967
Call Number
InfoField
38-385
Creator Transcription: NDLNA
InfoField
マツムラ, サダジロウ
Creator: NDLNAId
InfoField
00409558
Contents
InfoField
標題

目次

第一章 総論

1. 有理整代数式/1

2. 代数方程式及ビ数方程式/3

3. 方程式論ノ目的/3

第二章 有理整式ノ一般性質

4. 有理整式ノ主要項/5

5. 有理整式ヲx−hニテ除シタル剰余/11

6. 有理整式ヲx−hニテ除シタル商/13

7. 有理整式ノ値ヲ0ナラシムルxノ値/16

8. 有理整式ノ曲線表示/21

9. 有理整式ノ連続性/26

第三章 有理整式ノ誘函数

10. 有理整式ノ誘函数/29

11. 〓ヲ計算スルほーなーノ法/34

12. 誘函数ノ幾何学的意義/35

13. 誘函数ト有理整式トノ関係/38

第四章 有理整式ノ極大、極小

14. 有理整式ノ極大極小ノ意義/43

15. 有理整式ノ極大、極小ニ関スル定理/44

16. 有理整式ノ極大、極小ヲ求ムル法/48

第五章 有理整方程式ノ一般性質

17. 有理整方程式/51

18. 有理整方程式ノ根ノ数/52

19. 有理整方程式ノ根ト係数トノ関係/54

20. 根ノ間ニ関係ヲ有スル有理整方程式/66

21. 有理整方程式ノ実根/69

22. 有理整方程式ノ虚根及ビ無理根/75

23. 有理整方程式ノ複根/79

24. 有理整方程式ノ複根ニ関スル定理/81

25. 有理整方程式ノ複根ヲ求ムル法/84

26. 有理整方程式ノ実根ニ関スル定理/87

第六章 方程式ノ変換

27. 有理整方程式ノ変換/91

28. 有理整方程式ノ各根ノ符号ヲ変スル法/92

29. 有理整方程式ノ各根ヲm倍(若クハm分)スル法/93

30. 有理整方程式ノ各根ヲ逆数ニスル法/97

31. 相反方程式/99

32. 相反方程式ノ解法/103

33. 有理整方程式ノ各根ヲ定数ニテ減少(若クハ増加)スル法/111

34. 有理整方程式ノ各根ヲ平方ニスル法/116

第七章 三次及ビ四次方程式ノ一般解法

35. 一元三次方程式ノ一般解法/119

36. 一元四次方程式ノ一般解法/125

37. 有理整代数方程式ノ一般解法/130

第八章 でかるとノ符号法則

38. 正根ニ関スルでかるとノ符号法則/132

39. 負根ニ関スルでかるとノ符号法則/135

40. 虚根及ビ其他ニ関スルでかるとノ法則ノ応用/136

第九章 方程式ノ根ノ界限

41. 方程式ノ根ノ界限/142

42. 方程式ノ正根ノ上限/143

43. 方程式ノ正根ノ下限/153

44. 方程式ノ負根ノ上限及ビ下限/153

第十章 界限方程式

45. ろーるノ定理/155

46. 有理整方程式ノ実根ノ数/158

47. 有理整方程式ノ界限方程式/160

第十一章 方程式ノ根ノ分割法

48. 方程式ノ根ノ分割/162

49. ふーりえーノ定理/162

50. ぶーだんノ定理/169

51. 虚根ニ関スルふーりえー及ビぶーだん定理ノ応用/174

52. ふーりえー及ビぶーだん定理ヨリ導カルル定理/177

53. すつるむノ定理/178

Licensing

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