Essential Classical Mechanics

This is a book on intermediate classical mechanics. In this book, classical mechanics is presented as a useful tool to analyze the physical universe and also as the base on which the whole pyramid of modern physics has been erected. Various mechanical concepts are developed in a highly logical manner, with relatively thorough treatments on mathematical procedures and many physically interesting applications. Connections to more modern theoretical developments (including statistical physics, relativity, and quantum mechanics) are emphasized.

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Contents:

• Preface
• In Three-Dimensional Space: Vector Description
• Evolution in Time: Basic Elements of Newtonian Mechanics
• One-Dimensional Motion
• Motion of a Particle in Two or Three Dimensions
• The Two-Body Problem, Collision and Many-Particle System
• Gravitational Field Equations
• Rigid Body Dynamics I
• Elements of Fluid Mechanics
• Motion in a Non-Inertial Reference Frame
• Lagrangian Mechanics
• Application of the Lagrangian Method: Small Oscillations
• Rigid Body Dynamics II
• Hamiltonian Mechanics
• Selected References

Readership: Undergraduate and graduate physics students.
Key Features:

• We explained all mechanical concepts by a systematical and logical approach
• We strongly emphasized on the symmetry arguments and various mechanical conservation laws
• We provided many applications in broad areas in thorough manners