Classical Mechanics : Including an Introduction to the Theory of Elasticity (Undergraduate Lecture Notes in Physics)

Hentschke, Reinhard

Springer International Publishing AG（2017/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 380 p.
• 言語 ENG
• 商品コード 9783319487090
• DDC分類 530

Full Description

This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Contents

Mathematical Tools.- Laws of Mechanics.- Least Action for One Coordinate.- Principle of Least Action.- Integrating Equations of Motion.- Rigid-Body Motion.- Canonical Mechanics.- Many-Particle Mechanics.- Theory of Elasticity.