Advanced Newtonian Rigid Dynamics

Sinha, Rajnikant

  • 出版商: Springer
  • 出版日期: 2024-10-03
  • 售價: $4,690
  • 貴賓價: 9.5$4,456
  • 語言: 英文
  • 頁數: 973
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9819920248
  • ISBN-13: 9789819920242
  • 海外代購書籍(需單獨結帳)

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商品描述

This book discusses topics on D'Alembert's principle, virtual work, Eulerian angles, Lagrange's equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed.

商品描述(中文翻譯)

本書討論了 D'Alembert 原理、虛功、歐拉角、拉格朗日方程在廣義坐標中的應用以及陀螺的運動。詳細探討了剛體某點的動量橢圓和角動量守恆原理。本書是一本關於牛頓剛體動力學的基本教材,對於物理、數學和工程的高年級本科生及研究生非常有用。本書包含超過 350 個例題的解答以及超過 350 幅圖示,清晰地解釋了剛體動力學的概念。必要的數學內容在需要的地方即時創建。

作者簡介

Rajnikant Sinha is a former professor of Mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals and three textbooks with Springer: Smooth Manifolds; Real Analysis and Complex Analysis, Vols. 1 and 2; and Galois Theory and Advanced Linear Algebra. His research focuses on topological vector spaces, differential geometry and manifolds.


作者簡介(中文翻譯)

Rajnikant Sinha 是印度博德蓋亞的馬嘎德大學前數學教授。作為一位熱情的數學家,Sinha 教授在國際期刊上發表了許多有趣的研究成果,並與 Springer 合作出版了三本教科書:《平滑流形;實分析與複分析,第 1 卷和第 2 卷;》以及《伽羅瓦理論與高級線性代數》。他的研究專注於拓撲向量空間、微分幾何和流形。