Huygens and Barrow, Newton and Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals
暫譯: 惠根斯與巴羅、牛頓與胡克:數學分析與災變理論的先驅,從演變體到準晶體
Arnold, Vladimir I.
- 出版商: Springer
- 出版日期: 1990-07-01
- 售價: $4,180
- 貴賓價: 9.5 折 $3,971
- 語言: 英文
- 頁數: 118
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3764323833
- ISBN-13: 9783764323837
-
相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
Translated from the Russian by E.J.F. Primrose
Remarkable little book. -SIAM REVIEW
V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century.
Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics.
The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
商品描述(中文翻譯)
由 E.J.F. Primrose 翻譯自俄文
這本書非常出色。 -SIAM REVIEW
V.I. Arnold 以其生動的風格聞名,回顧了數學分析和理論物理的起源,探討了17世紀偉大科學家的著作(以及他們的陰謀!)。
一些惠更斯(Huygens)和牛頓(Newton)的思想,超越了幾個世紀,直到最近才被發展出來。作者追溯了這些思想的起源與當代數學和物理學突破之間的聯繫。
本書提供了牛頓定理在軌道橢圓形狀和阿貝爾積分的超越性方面的現代概括;並簡要回顧了天體力學中規則運動和混沌運動的理論,包括小行星分佈中的港口問題以及行星環結構的討論。