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First Course in Mechanics [Pehme köide]

(Vice Principal, Fellow and Tutor in Mathematics, St Hugh's College, Oxford)
  • Formaat: Paperback / softback, 204 pages, kõrgus x laius x paksus: 234x156x13 mm, kaal: 305 g, numerous line drawings
  • Ilmumisaeg: 04-Apr-1991
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198534337
  • ISBN-13: 9780198534334
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  • Formaat: Paperback / softback, 204 pages, kõrgus x laius x paksus: 234x156x13 mm, kaal: 305 g, numerous line drawings
  • Ilmumisaeg: 04-Apr-1991
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198534337
  • ISBN-13: 9780198534334
This textbook provides a simple introduction to mechanics for students coming to the subject for the first time. The text is based on courses given to first and second year undergraduates and has been written with this audience in mind. Prerequisites are only a basic familiarity with vectors, matrices, and elementary calculus.

The author's aim is to provide an understanding of Newtonian mechanics using the tools of modern algebra. The first chapters of the book introduce the fundamentals of the motion of rigid bodies: Newton's laws, forces, linear and angular momentum, and the conservation of energy. In the later chapters the theory of Lagrangian mechanics is developed and extended to cover applications to impulsive forces. Throughout, the theory is illustrated with many worked examples, and numerous exercises (some with solutions) are provided.

Arvustused

`This textbook provides a simple introduction to mechanics for students coming to the subject for the first time.' L'Enseignement Mathematique 'The text is well written and presented using an adequate mathematical apparatus in an up to date formulation.' M. Baake, Mathematics Abstracts, Vol. 714 'This is a nice book ... The presentation is clear throughout. Problems and some answers are given. It is suitable for strong first and second year undergraduates.' Mathematika, 38 (1991)

1. Newton's Laws2. Central Forces3. Energy4. Rotating Frames5. Many Particle Systems6. Rigid Bodies7. Soluble Problems in Rigid Body Motion8. Lagrangian Mechanics9. Impulsive Forces1. Newton's laws2. Central forces3. Energy4. Rotating frames5. Many-particle systems6. Rigid bodies: equations7. Soluble problems in rigid body motion8. Lagrangian mechanics9. Impulsive forcesAppendices 1, 2, 3Solutions to odd-numbered exercisesIndex