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书名 阿基米德全集(英文)(精)/西方科学经典影印
分类 科学技术-自然科学-数学
作者 (古希腊)阿基米德
出版社 崇文书局
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简介
内容推荐
阿基米德的著作,迄今发现的共有以下十一种:《论球和圆柱》《圆的度量》《论拟圆锥与旋转椭体》《论螺线》《论平面图形的平衡》《数沙者》《抛物线弓形求积》《论浮体》《引理汇编》《牛群问题》《方法》。
英国数学史家希思(Thomas Heath,1861—1940)在1897年翻译出版了前10种,1912年翻译出版了第11种,都是由剑桥大学出版社出版。今即将此二书合刊影印,而1897年版的书前有希思撰写的长篇“导读”,影印时不收。
作者简介
阿基米德(前287年—前212年):古希腊数学家、力学家,与高斯、牛顿并称为世界三大数学家。主要贡献为,系统总结了几何体表面积和体积的计算方法,发现了浮力定理、杠杆原理。
目录
INTRODUCTION
CHAPTER I.ARCHIMEDES
CHAPTER II.MANUSCRIPTS AND PRINCIPAL EDITIONS-ORDER OF COMPOSITION-DIALECT-LOST WORKS
CHAPTER III.RELATION OF ARCHIMEDES TO HIS PREDECESSORS
§1.Use of traditional geometrical methods .
§2.Earlier discoveries affecting quadrature and cubature.
§3.Conic Sections
§4.Surfaces of the second degree
§5.Two mean proportionals in continued propor-tion.
CHAPTER IV.ARITHMETIC IN ARCHIMEDES
§1.Greek numeral system
§2.Addition and subtraction
§3.Multiplication
§4.Division
§5.Extraction of the square root.
§6.Early investigations of surds or incommensu-rables
§7.Archimedes' approximations to 3.
§8.Archimedes' approximations to the square rootsof large numbers which are not completesquares
Note on alternative hypotheses with regard tothe approximations to /3
CHAPTER V.ON THE PROBLEMS KNOWN AS NEYSEIS
§1.Neuσeis referred to by Archimedes
§2.Mechanical constructions: the conchoid of Nico-medes
§3.Pappus' solution of the veuσis referred to inProps. 8,9 On Spirals.
§4.The problem of the two mean proportionals
§5.The trisection of an angle
§6.On certain pplane vEuσEis
CHAPTER VI. CUBIC EQUATIONS
CHAPTER VII. ANTICIPATIONS BY ARCHIMEDES OF THE INTE-GRAL CALCULUS
CHAPTER VIII. THE TERMINOLOGY OF ARCHIMEDES
THE WORKS OF ARCHIMEDES
ON THE SPHERE AND CYLINDER,BOOK I..
BOOK II.
MEASUREMENT OF A CIRCLE
ON CONOIDS AND SPHEROIDS
ON SPIRALS
ON THE EQUILIBRIUM OF PLANES,BOOK I.
BOOK II.
THE SAND-RECKONER
QUADRATURE OF THE PARABOLA
ON FLOATING BODIES,BOOK I.
BOOK II.
BOOK OF LEMMAS.
THE CATTLE-PROBLEM
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