古典力学（テキスト） Classical Dynamics (University Texts in the Mathematical Sciences)

Ahmed, Nazibuddin/ Gohain, Dipunja/ Bordoloi, Rajdeep

Springer Verlag, Singapore（2026/02発売）

• 製本 Hardcover:ハードカバー版／ページ数 538 p.
• 言語 ENG
• 商品コード 9789819563937

Full Description

Targeted to advanced undergraduate and graduate students of mathematics, physics and engineering, this book discussed major topics in classical dynamics. Each chapter begins with clear statements of definitions, principles and theorems. To illustrate and amplify the theories and principles, there are graded sets of solved examples and supplementary problems in each chapter. The book highlights vector treatment, but the scalar treatment is not disregarded. Theorems and principles are solved by vector method whereas in case of solved problems, both vector and scalar treatments are utilized. It is assumed that the students have a fair working knowledge of differential and integral calculus, differential equations, vector algebra and vector calculus.

Contents

Force, Work, Power, And Energy.- Central Forces and Central Orbits: Orbital Motion.- Law of Inverse Square and Two-Body Problem.- Motion of a Particle in Three Dimensions.- Motion of a System of Particles.- Introduction to Dynamics of Rigid Bodies.- Motion of a Rigid Body under Impulsive Forces.- Rigid Body Motion in Space with One Point Fixed.- Langrange's Equation of Motion.- ​​​​​​​Theory of Hamilton.