Classical mechanics : an undergraduate text / Douglas Gregory.

Format:

Book

Author/Creator:

Gregory, R. Douglas, author.

Language:

English

Subjects (All):

Mechanics.

Physical Description:

1 online resource (xii, 596 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.

Contents:

Part I. Newtonian mechanics of a single particle

1. The algebra and calculus of vectors

2. Velocity, acceleration and scalar angular velocity

3. Newton's laws of motion and the law of gravitation

4. Problems in particle dynamics

5. Linear oscillations

6. Energy conservation

7. Orbits in a central field

8. Non-linear oscillations and phase space

Part II. Multi-particle Systems

9. The energy principle

10. The linear momentum principle

11. The angular momentum principle

Part III. Analytical mechanics

12. Lagrange's equations and conservation principle

13. The calculus of variations and Hamilton's principle

14. Hamilton's equations and phase space

Part IV. Further Topics

15. The general theory of small oscillations

16. Vector angular velocity and rigid body kinematics

17. Rotating reference frames

18. Tensor algebra and the inertia tensor

19. Problems in rigid body dynamics

Appendix. Centres of mass and moments of inertia

Answers to the problems.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. [589]-590) and index.

ISBN:

1-139-63706-1

1-107-14702-6

1-282-39468-1

0-511-64426-4

9786612394683

0-511-80378-8

0-511-16170-0

0-511-16040-2

0-511-56641-7

0-511-16097-6

OCLC:

85824944

Publisher Number:

9780521826785

9780521534093