The Mathematical Principles Of Natural Philosophy:An Annotated Translation Of The Principia(1st Edition)
- 中图分类 :O3-09
- 语种:ENG
- 出版信息:Cambridge University Press 2021.03.04
- 装帧:精装 GBP222.0
- I S B N:9781107020658
- E-BOOK:9781139105804
- 数量:
内容简介
牛顿的《原理》也许是仅次于欧几里德《几何原本》的数学著作,于1687年首版,第一次系统地描述了动力学的基本概念,以及从开普勒的行星运动定律得出的牛顿引力定律的三大推导。该书极具洞察力和独创性,比其他任何著作更能使我们理解数学的力量。《原理》的第三版和最终译版(1726)注释详细,任何读者都能轻松地理解里面的初等数学,轻易掌握文本的含义,无论从翻译本身,还是从注释中,都能理解其中的一些意义。前面所有的参考文献都是为说明整体的结构和统一性,并对这些部分进行阐释。理解牛顿论点的必备数学知识也在一个简短的附录中给出。
• A translation of Newton's Principia, designed to be more readable than earlier translations which follow the Latin text verbally
• Copious notes discuss the meaning, context, and significance of the text, and explore its ambiguities
• The first translation into English that is based on an attempt to understand Newton's arguments
章节内容
Definitions; The Axioms, or the Laws of Motion; Book One. On the Motion of Bodies: Section 1. On the theory of limits; Section 2. On the calculation of centripetal forces; Section 3. On the motion of particles in eccentric conic sections; Section 4. On the calculation of elliptical, parabolic, and hyperbolic orbits with a given focus; Section 5. On the calculation of orbits when neither focus is given; Section 6. On the calculation of motion in given orbits; Section 7. On the ascent and descent of particles in a straight line; Section 8. On the calculation of the orbits in which particles revolve under any centripetal forces; Section 9. On the motion of particles in moving orbits, and the motion of the apsides; Section 10. On the motion of particles on given surfaces, and the swinging motion of a string pendulum; Section 11. On the motion of particles attracting each other by centripetal forces; Section 12. On the attractive forces of spherical bodies; Section 13. On the attractive forces of non-spherical bodies; Section 14. On the motion of particles attracted by centripetal forces towards the various parts of arbitrarily large bodies; Book Two. On the Motion of Bodies: Section 1. On the motion of particles moving against a resistance that is proportional to the speed; Section 2. On the motion of particles moving against a resistance that is proportional to the square of the speed; Section. 3. On the motion of bodies to which the resistance consists of one part that is proportional to the speed, and another part that is proportional to the square of the speed; Section. 4. On the revolving motion of bodies in resisting media; Section 5. On the density and compression of fluids, and on hydrostatics; Section 6. On the motion and resistance of string pendulums; Section 7. On the motion of fluids and the resistance of projectiles; Section 8. On motion propagated through fluids; Section 9. On the circular motion of fluids; Book Three. On Celestial Mechanics: The rules of Scientific Argument; Phenomena; Propositions; On the motion of the nodes of the moon; Appendices; Glossary of Latin terms; References; Index.
学术水平:academic researchers
读者群:history of science, Newton studies