ABSTRACT

Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation.

Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics.

It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics.

Features:

  • Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics
  • Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used
  • Online resources containing specific example codes to help students learn computational methods and write their own algorithms

 

A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab

chapter Chapter 1|28 pages

The Foundations of Motion and Computation

chapter Chapter 2|32 pages

Single-Particle Motion in One Dimension

chapter Chapter 3|45 pages

Motion in Two and Three Dimensions

chapter Chapter 4|28 pages

Momentum, Angular Momentum, and Multiparticle Systems

chapter Chapter 5|27 pages

Energy

chapter Chapter 6|46 pages

Harmonic Oscillations

chapter Chapter 7|20 pages

The Calculus of Variations

chapter Chapter 8|44 pages

Lagrangian and Hamiltonian Dynamics

chapter Chapter 9|38 pages

Central Forces and Planetary Motion

chapter Chapter 10|24 pages

Motion in Noninertial Reference Frames

chapter Chapter 11|38 pages

Rigid Body Motion

chapter Chapter 12|34 pages

Coupled Oscillations

chapter Chapter 13|38 pages

Nonlinear Systems