Mastering the Foundations: A Guide to Classical Mechanics by N.C. Rana and P.S. Joag

Non-linear Dynamics: An introduction to deterministic chaos, strange attractors, and Lyapunov exponents.

  1. Introduction to classical mechanics
  2. Kinematics of a particle
  3. Dynamics of a particle
  4. Newton's laws of motion
  5. Work and energy
  6. Momentum and center of mass
  7. Collisions and scattering
  8. Rotational motion
  9. Lagrangian and Hamiltonian mechanics
  10. Central force motion
  11. Scattering theory

The book is structured into roughly 14 chapters, covering the full spectrum of classical theory:

  • Comprehensive coverage: The book covers all the essential topics of classical mechanics, including kinematics, dynamics, energy, momentum, and rotational motion.
  • Clear explanations: The authors have provided clear and concise explanations of complex concepts, making it easy for students to understand.
  • Examples and illustrations: The book includes numerous examples and illustrations to help students visualize and understand the concepts.
  • Problems and exercises: The book provides a wide range of problems and exercises to help students practice and reinforce their understanding.

It offers unique insights into how mechanical principles evolved up to Newton and beyond. Mathematical Rigor:

Introduction

Digital Access: You can read the digital version or upload documents for viewing on Scribd and Google Books.

Dynamics: Rotating frames of reference (Coriolis force, Foucault’s pendulum) and central force problems like Kepler’s laws and planetary orbits.