找回密碼
 To register

QQ登錄

只需一步,快速開始

掃一掃,訪問微社區(qū)

打印 上一主題 下一主題

Titlebook: Geometry; A Metric Approach wi Richard S. Millman,George D. Parker Textbook 19811st edition Springer-Verlag Inc. 1981 Cartesian.Euclid.Geom

[復制鏈接]
查看: 27070|回復: 47
樓主
發(fā)表于 2025-3-21 16:51:22 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometry
副標題A Metric Approach wi
編輯Richard S. Millman,George D. Parker
視頻videohttp://file.papertrans.cn/384/383741/383741.mp4
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Geometry; A Metric Approach wi Richard S. Millman,George D. Parker Textbook 19811st edition Springer-Verlag Inc. 1981 Cartesian.Euclid.Geom
描述This book is intended as a first rigorous course in geometry. As the title indicates, we have adopted Birkhoff‘s metric approach (i.e., through use of real numbers) rather than Hilbert‘s synthetic approach to the subject. Throughout the text we illustrate the various axioms, definitions, and theorems with models ranging from the familiar Cartesian plane to the Poincare upper half plane, the Taxicab plane, and the Moulton plane. We hope that through an intimate acquaintance with examples (and a model is just an example), the reader will obtain a real feeling and intuition for non- Euclidean (and in particular, hyperbolic) geometry. From a pedagogical viewpoint this approach has the advantage of reducing the reader‘s tendency to reason from a picture. In addition, our students have found the strange new world of the non-Euclidean geometries both interesting and exciting. Our basic approach is to introduce and develop the various axioms slowly, and then, in a departure from other texts, illustrate major definitions and axioms with two or three models. This has the twin advantages of showing the richness of the concept being discussed and of enabling the reader to picture the idea more
出版日期Textbook 19811st edition
關鍵詞Cartesian; Euclid; Geometrie; Geometry; addition; boundary element method; concept; feeling; idea; inca; model
版次1
doihttps://doi.org/10.1007/978-1-4684-0130-1
isbn_softcover978-1-4684-0132-5
isbn_ebook978-1-4684-0130-1Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag Inc. 1981
The information of publication is updating

書目名稱Geometry影響因子(影響力)




書目名稱Geometry影響因子(影響力)學科排名




書目名稱Geometry網(wǎng)絡公開度




書目名稱Geometry網(wǎng)絡公開度學科排名




書目名稱Geometry被引頻次




書目名稱Geometry被引頻次學科排名




書目名稱Geometry年度引用




書目名稱Geometry年度引用學科排名




書目名稱Geometry讀者反饋




書目名稱Geometry讀者反饋學科排名




單選投票, 共有 1 人參與投票
 

0票 0.00%

Perfect with Aesthetics

 

1票 100.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用戶組沒有投票權限
沙發(fā)
發(fā)表于 2025-3-21 23:30:34 | 只看該作者
Plane Separation,Plane and the Hyperbolic Plane, do satisfy this new axiom. In the third section we shall prove Pasch’s Theorem, which gives an alternative formulation of the plane separation axiom in terms of triangles. This means that Pasch’s Theorem follows from the plane separation axiom and the plane separation axiom follows from assuming Pasch’s Theorem.
板凳
發(fā)表于 2025-3-22 03:07:03 | 只看該作者
0172-6056 ugh use of real numbers) rather than Hilbert‘s synthetic approach to the subject. Throughout the text we illustrate the various axioms, definitions, and theorems with models ranging from the familiar Cartesian plane to the Poincare upper half plane, the Taxicab plane, and the Moulton plane. We hope
地板
發(fā)表于 2025-3-22 07:16:18 | 只看該作者
https://doi.org/10.1007/978-3-663-07180-8 the hyperbolic results. In the second section we will be concerned with the theory of similar triangles and proportion. The third section will cover certain classical results of Euclidean geometry, including the Euler Line, the Nine Point Circle, and Morley’s Theorem.
5#
發(fā)表于 2025-3-22 09:59:29 | 只看該作者
6#
發(fā)表于 2025-3-22 14:42:02 | 只看該作者
https://doi.org/10.1007/978-3-663-07177-8erent in any geometric sense. Furthermore, as we develop additional axioms to verify we will need a more tractable notation. For these reasons we introduce an alternative description of the Euclidean Plane, one that is motivated by ideas from linear algebra, especially the notion of a vector.
7#
發(fā)表于 2025-3-22 18:38:47 | 只看該作者
https://doi.org/10.1007/978-3-663-04786-5 measures are defined in our two basic models. In the second section we shall develop a new model with some very interesting properties. In the third section, some of the basic results associated with angle measure are discussed. The last section is devoted to the technical details of verifying the existence of angle measure on ?. and ?.
8#
發(fā)表于 2025-3-22 23:27:42 | 只看該作者
9#
發(fā)表于 2025-3-23 05:25:16 | 只看該作者
10#
發(fā)表于 2025-3-23 06:33:06 | 只看該作者
 關于派博傳思  派博傳思旗下網(wǎng)站  友情鏈接
派博傳思介紹 公司地理位置 論文服務流程 影響因子官網(wǎng) 吾愛論文網(wǎng) 大講堂 北京大學 Oxford Uni. Harvard Uni.
發(fā)展歷史沿革 期刊點評 投稿經(jīng)驗總結 SCIENCEGARD IMPACTFACTOR 派博系數(shù) 清華大學 Yale Uni. Stanford Uni.
QQ|Archiver|手機版|小黑屋| 派博傳思國際 ( 京公網(wǎng)安備110108008328) GMT+8, 2025-10-13 05:41
Copyright © 2001-2015 派博傳思   京公網(wǎng)安備110108008328 版權所有 All rights reserved
快速回復 返回頂部 返回列表
汝阳县| 六安市| 奇台县| 三穗县| 珲春市| 来凤县| 清新县| 平昌县| 东城区| 龙南县| 金乡县| 武隆县| 江口县| 秦皇岛市| 汪清县| 通海县| 清丰县| 隆化县| 五家渠市| 涟水县| 通州市| 孟村| 华宁县| 穆棱市| 汕头市| 东宁县| 湖南省| 太保市| 芜湖市| 达孜县| 左权县| 四川省| 玛纳斯县| 长春市| 天台县| 多伦县| 青冈县| 神池县| 手游| 漾濞| 两当县|