File:NLC416-08jh002266-5518 解析數學講義.pdf

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Summary[edit]

解析數學講義   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔法〕古爾薩（E. Goursat）著
image of artwork listed in title parameter on this page
Title
解析數學講義
Publisher
國立北平研究院出版部[發行] (北平)
Description

目錄
第十章 包封論——接觸
ⅰ 包封曲線及包封曲面
198 包封的求法
199 一個直線的包封
200 一個圓的包封
201 具有一個變率的曲面
202 具有兩個變率的曲面
203 能展曲面
204 能展曲面的微分文程式
205 一類的空間曲線的包封
ⅱ 兩個曲線的接觸及一個曲線和一個曲面的接觸
206 兩個平曲線的接觸
207 接觸的級數
208 吻合曲線
209 吻合曲線的性質
210 兩個空間曲線的接觸
211 吻合曲線
212 一個曲線及一個曲面的接觸
213 一個曲面的吻合直線
習題
注
第十一章 空間曲線
ⅰ 吻合平面
214 定義及方程式
215 停留的吻合平面
216 停留的切線
ⅱ 曲度及旁曲度
217 球面指線
218 曲度半徑
219 主法線.曲度心
220 極直線及極曲面
221 旁曲度
222 福爾內的公式
223 x,y,z依s的冪的展開式
224 自方程式
225 伸開線及閉縮線
226 螺旋線
227 彼得郎的曲線
228 吻合球面
ⅲ 直線組的概要
229 直線曲面
230 直線的相合組，焦點曲面
231 法線的相合組
232 複合組
習題
注
第十二章 曲面
ⅰ 畫在一個曲面上的曲線的曲度
233 基本公式莫尼葉的定理
234 兩個基本形式
235 尤列的定理，指曲線
236 主曲度半徑
ⅱ 漸近曲線曲度線
237 漸近曲線
238 直線曲面的漸近曲線
239 共軛曲線
240 曲度曲線
241 一個曲面的閉縮曲面
242 阿蘭德羅德利克的公式
243 若瑟斯達的定理
244 杜班的定理
245 量地線
246 應用在幾類的曲面上
ⅲ 兩個曲面上的點的相應
247 球面表示法
248 能合曲面
249 能合於一個平面的曲面
250 量地曲度量地線
251 全曲度高斯的定理
252 同形變形法
253 一個平面在一個平面上的同形表示
254 地圖
習題
注
附記 關於有定積分的微分法的公式

Language Chinese
Publication date 民國22[1933]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
高等數學
中圖分類
InfoField
O13
拼音題名
InfoField
jie xi shu xue jiang yi
載體形態
InfoField
206頁

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current19:18, 10 June 2023Thumbnail for version as of 19:18, 10 June 2023902 × 1,185, 221 pages (4.53 MB)PencakeBot (talk | contribs)Upload 解析數學講義 (1/1) by （法）古爾薩（E. Goursat）著 (batch task; nlc:data_416,08jh002266,5518; 民國圖書.3; 解析數學講義)

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