Dynamics : A Text-Book for the Use of the Higher Divisions in Schools and for First Year Students at the Universities (Cambridge Library Collection - Mathematics)

Ramsey, Arthur Stanley

Cambridge University Press（2009/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 280 p.
• 言語 ENG
• 商品コード 9781108003148
• DDC分類 531.11

Full Description

A. S. Ramsey (1867-1954) was a distinguished Cambridge mathematician and President of Magdalene College. He wrote several textbooks 'for the use of higher divisions in schools and for first year students at university'. This book on dynamics, published in 1929, was based upon his lectures to students of the mathematical tripos, and reflects the way in which this branch of mathematics had expanded in the first three decades of the twentieth century. It assumes some knowledge of elementary dynamics, and contains an extensive collection of examples for solution, taken from scholarship and examination papers of the period. The subjects covered include vectors, rectilinear motion, harmonic motion, motion under constraint, impulsive motion, moments of inertia and motion of a rigid body. Ramsey published a companion volume, Statics, in 1934.

Contents

1. Introduction; 2. Vectors; 3. Rectilinear motion: kinematics; 4. Rectilinear motion: kinetics; 5. Kinematics in two dimensions; 6. Dynamical problems in two dimensions; 7. Harmonic motion; 8. Motion under constraint; 9. The law of refraction: general principles; 10. General problems; 11. Impulsive motion; 12. Polar coordinates: orbits; 13. Moments of inertia; 14. Motion of a rigid body: energy and momentum; 15. Equations of motion of a rigid body; 16. Miscellaneous problems; 17. Small oscillations.