File:NLC416-08jh013668-31394 方程式論.pdf

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
Go to page
next page →
next page →
next page →

Original file ‎(718 × 1,095 pixels, file size: 5.29 MB, MIME type: application/pdf, 291 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
方程式論   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
布沙特(W.S.Burnside) 班登(A.W.Panton)著
image of artwork listed in title parameter on this page
Title
方程式論
Publisher
商務印書館[發行者]
Description

目錄
緒論
1 定義
2 數字方程式及代數方程式
3 多項式
第一章 多項式之普通性質
4 定理（多項式變數之值甚大時）
5 定理（多項式變數之值甚小時）
6 變數增減時多項式形式上之變化及導來函數
7 有理整函數之連續
8 以二項式除多項式所得之商及其剩餘
9 作函數表法
10 多項式之圖表法
11 多項式之極大值極小值
第二章 方程式之普通性質
12 定理（關於方程式之實根）
13 定理（關於方程式之實根）
14 定理（關於方程式之實根）
15 普通方程式之根 虛根
16 定理（定方程式中根之數目）
17 等根
18 （方程式中虛根數目常為偶數）
19 descartes之符號規則 正根
20 descartes之符號規則 負根
21 用descartes規則證明虛根之存在
22 定理（以二已知數之代變數）
第三章 根與係數之關係及根之等勢函數
23 根與係數之關係
24 應用
25 方程式相關二根之減次
26 1之立方根
27 根之等勢函數
28 等勢函數之理論
第四章 方程式之變化
29 方程式之變化
30 變根之符號
31 以一定量乘方程式之根
32 逆根及逆方程式
33 增減方程式之根
34 消項
35 二項係數
36 三次方程式
37 四次方程式
38 同比異列變化
39 等勢函數之變化
40 變換方程式以其根之乘冪
41 一般之變化
42 平方差之三次方程式
43 三次方程式中根之性質之標準
44 差之一般方程式
第五章 逆方程式或二項方程式之解答
45 逆方程式
46 二項方程式之通普性質 命題1
47 命題2
48 命題3
49 命題4
50 命題5
51 命題6
52 命題7
53 方程式〓-1=0之特根
54 以圓函數解二項方程式
第六章 三次方程式及四次方程式之代數解法
55 方程式之代數解法
56 三次方程式之代數根
57 數字方程式之應用
58 化三次式為兩立方之差
59 以根之等勢函數解三次方程式
60 三次方程式中二根之同比異列關係
61 四次方程式之第一解法 euler氏之假定
62 四次方程式之第二種解法
63 分解四次式為二次因子 第一法
64 分解四次式為二次因子 第二法
65 四次方程式之逆方程式
66 以根之等勢函數解四次方程式
67 四次方程式之平方差方程式
68 四次方程式中根之性質之標準
第七章 導來函數之性質
69 導來函數之圖表法
70 多項式之極大極小值 定理
71 rolle氏之定理
72 導來函數之組織
73 復根 定理
74 復根之決定
75 定理（變數經過方程式之一根）
76 定理（變數經過方程式之一根）
第八章 根之等勢函數
77 奈端之定理 命題1
78 命題2
79 命題3
80 (以根之乘方和之項表係數之式）
81 等勢函數之級數及其次數和
82 根之等勢函數之計算
83 同次積
第九章 根之極限
84 極限之定義
85 命題1
86 命題2
87 應用
88 命題3
89 下限及負根之極限
90 限制方程式
第十章 區分方程式之根
91 （一般解釋）
92 fourier及budan之定理
93 定理之應用
94 根為虛數時定理之應用
95 前定理之系
96 sturm之定理
97 sturm之定理 等根
98 sturm定理之應用
99 方程式之根皆為實根之條件
100 四次方程式之根皆為實數之條件
第十一章 數字方程式之解答
101 代數方程式及數字方程式
102 定理（關於可通約根）
103 奈端之約數法則
104 約數法則之應用
105 限制約數數目之方法
106 復根之決定
107 奈端之近似值方法
108 horner氏之數字方程式解法
109 試約數之定理
110 horner氏之簡法
111 方程式之根異常接近時horner氏法則之應用
112 lagrange氏之近似值方法
113 四次方程式之數字解答
第十二章 複數及復變數
114 複數 圖表法
115 複數 加法及減法
116 乘法及除法
117 複數之他種運算
118 復變數
119 復變數函數之連續
120 復變數畫一小閉曲線時f﹙x﹚中幅角之相當變化
121 cauchy氏之定理
122 普通方程式中根之數目
123 基本定理之第二證法
124 複數根之決定 三次方程式之解答
125 四次方程式之解法
126 續四次方程式之解法

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
代數方程
中圖分類
InfoField
O151.1
載體形態
InfoField
274頁

Licensing

[edit]
This image is in the public domain because it is a mere mechanical scan or photocopy of a public domain original, or – from the available evidence – is so similar to such a scan or photocopy that no copyright protection can be expected to arise. The original itself is in the public domain for the following reason:
Public domain
This image is now in the public domain in China because its term of copyright has expired.

According to copyright laws of the People's Republic of China (with legal jurisdiction in the mainland only, excluding Hong Kong and Macao), amended November 11, 2020, Works of legal persons or organizations without legal personality, or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation. For photography works of natural persons whose copyright protection period expires before June 1, 2021 belong to the public domain. All other works of natural persons enter the public domain 50 years after the death of the creator.
According to copyright laws of Republic of China (currently with jurisdiction in Taiwan, Penghu, Kinmen, Matsu, etc.), all photographs and cinematographic works, and all works whose copyright holder is a juristic person, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation, and all other applicable works enter the public domain 50 years after the death of the creator.

Important note: Works of foreign (non-U.S.) origin must be out of copyright or freely licensed in both their home country and the United States in order to be accepted on Commons. Works of Chinese origin that have entered the public domain in the U.S. due to certain circumstances (such as publication in noncompliance with U.S. copyright formalities) may have had their U.S. copyright restored under the Uruguay Round Agreements Act (URAA) if the work was under copyright in its country of origin on the date that the URAA took effect in that country. (For the People's Republic of China, the URAA took effect on January 1, 1996. For the Republic of China (ROC), the URAA took effect on January 1, 2002.[1])
To uploader: Please provide where the image was first published and who created it or held its copyright.

You must also include a United States public domain tag to indicate why this work is in the public domain in the United States. Note that this work might not be in the public domain in countries that do not apply the rule of the shorter term and have copyright terms longer than life of the author plus 50 years. In particular, Mexico is 100 years, Jamaica is 95 years, Colombia is 80 years, Guatemala and Samoa are 75 years, Switzerland and the United States are 70 years, and Venezuela is 60 years.

čeština ∙ Deutsch ∙ English ∙ português ∙ română ∙ slovenščina ∙ Tagalog ∙ Tiếng Việt ∙ македонски ∙ русский ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文‎ ∙ 繁體中文 ∙ +/−


This tag is designed for use where there may be a need to assert that any enhancements (eg brightness, contrast, colour-matching, sharpening) are in themselves insufficiently creative to generate a new copyright. It can be used where it is unknown whether any enhancements have been made, as well as when the enhancements are clear but insufficient. For known raw unenhanced scans you can use an appropriate {{PD-old}} tag instead. For usage, see Commons:When to use the PD-scan tag.

Note: This tag applies to scans and photocopies only. For photographs of public domain originals taken from afar, {{PD-Art}} may be applicable. See Commons:When to use the PD-Art tag.
This image contains digital watermarking or credits in the image itself. The usage of visible watermarks is discouraged. If a non-watermarked version of the image is available, please upload it under the same file name and then remove this template. Ensure that removed information is present in the image description page and replace this template with {{Metadata from image}} or {{Attribution metadata from licensed image}}.

Caution: Before removing a watermark from a copyrighted image, please read the WMF's analysis of the legal ramifications of doing so, as well as Commons' proposed policy regarding watermarks.

If the old version is still useful, for example if removing the watermark damages the image significantly, upload the new version under a different title so that both can be used. After uploading the non-watermarked version, replace this template with {{Superseded|new filename|version without watermarks}}.
Bahasa Indonesia ∙ italiano ∙ eesti ∙ sicilianu ∙ Deutsch ∙ català ∙ magyar ∙ čeština ∙ română ∙ español ∙ português ∙ English ∙ hrvatski ∙ Plattdüütsch ∙ français ∙ Nederlands ∙ polski ∙ galego ∙ slovenščina ∙ suomi ∙ svenska ∙ Ελληνικά ∙ беларуская (тарашкевіца)‎ ∙ български ∙ македонски ∙ русский ∙ українська ∙ മലയാളം ∙ ไทย ∙ 日本語 ∙ 中文 ∙ 中文（简体）‎ ∙ 中文（繁體）‎ ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:44, 10 June 2023Thumbnail for version as of 18:44, 10 June 2023718 × 1,095, 291 pages (5.29 MB)PencakeBot (talk | contribs)Upload 方程式論 (1/1) by 布沙特(W.S.Burnside),班登(A.W.Panton)著 (batch task; nlc:data_416,08jh013668,31394; 民國圖書.4; 方程式論)

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:NLC416-08jh013668-31394_方程式論.pdf&oldid=773131740"