(专著) /(美)E. S.鲁姆斯编著
ISBN/ISSN:978-7-5603-5993-9
价格:CNY38.00
出版:哈尔滨 :哈尔滨工业大学出版社 ,2021.01
载体形态:274页 :图 ;25cm
简介:本书是一本经典的数学教育用书,主要内容包括:毕达哥拉斯定理,通过这个定理列出了二百多个证法。还介绍了中国古代著名的勾股定理,以及证法。 本书将北京晚报《墨缘》栏目的精华文章集结出版,讲述书法名家的四季名作。全书将中国传统时间观的常识、相关诗句和对书法作品的赏析相结合,图文配合,集中讲述天干地支、十二生肖、二十四节气、中国传统节日(包括人日、花神节、上巳节、下元节等不为大众所熟知的传统节日)的相关知识、习俗、文化内涵以及与之相关的书法作品。本书内容翔实,文笔优美,能够让广大传统文化爱好者感受到知识和艺术的碰撞,体会传统文化的艺术魅力。
附注:高校学生 书法爱好者
中图分类号:O123.3 J292.28 K203-49
责任者:北京晚报《墨缘》编写组
豆瓣内容简介:
本书是 Loomis 教授精心编写的关于毕达哥拉斯定理的精典书籍,书中提出了三百余种证明毕达哥拉斯定理的方法,被誉为“数学教育的精典”。
本书适合初高中师生及数学爱好者参考阅读。
豆瓣作者简介:
E.S.鲁姆斯,was professor of mathematics at Baldwin University for the period 1885 ~ 1895 and head of the mathematics department at West High School, Cleveland, Ohio, for the period 1895 - 1923. At the time when this second edition was published, in 1940, he was professor emeritus of mathematics at Baldwin-Wallace College.
目录:
The Pythagorean Proposition
Brief Biographical Information Concerning Pythagoras
Supplementary Historical Data
The Pythagorean Theorem from an Arithmetico-Algebraic Point of View
Rules for Finding Integral Values for a, b and h
Methods of Proof
I. Algebraic Proofs Through Linear Relations
A. Similar Right Triangles
B. The Mean Proportional Principle
C. The Circle in Connection with the Right Triangle
(I) Through the Use of One Circle
(II) Through the Use of Two Circles
D. Through the Ratio of Areas
E. Algebraic Proof Through Theory of Limits
F. Algebraic-Geometric Proofs
G. Algebraic-Geometric Proofs through Similar Polygons other thanSquares
II. Geometric Proofs
A-Type. All Three sq's const'd Exterior
B-Type. The h-square const'd Interior
C-Type. The b-square const'd Interior
D-Type. The a-square const'd Interior
E-Type. The h-and b-sq's const'd Interior
F-Type. The h-and a-sq's const'd Interior
G-Type. The a-and b-sq's const'd Interior
H-Type. All three sq's const'd interior
I-Type. One or More Squares Translated, Giving 7 Classes Covering 19 Differenl Cases
J-Type. One or More Squares not Graphically Represented--Two Sub-types
No Trigonometric Proofs
III. Quaternionic Proofs
IV. Dynamic Proofs
The Pythagorean Curiosity
Pythagorean Magic Squares
Addenda
This Famous Theorem, in Mathematical Literature
Some Noted Proofs
They Came to Me from Everywhere
Testimonials
附录一 守望灵魂——毕达哥拉斯的新生活之路
附录二
编辑手记
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