Classicalmechanicsbygaruldhaspdf
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Classical Mechanics by G. Aruldhas PDF: A Comprehensive Textbook for Physics and Mathematics Students
If you are looking for a textbook that covers the mechanics of particles and systems in depth, you might want to check out Classical Mechanics by G. Aruldhas PDF. This book is written by a former professor and head of physics department at the University of Kerala, who has over four decades of teaching experience at the postgraduate level. The book is thoroughly class-tested and suitable for a one-semester course in classical mechanics for postgraduate students of physics and mathematics. It can also serve as a useful reference for engineering students at the postgraduate level.
The book provides not only a complete treatment of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply abstract principles and mathematical techniques to realistic problems. While abstraction of theory is minimized, detailed mathematical analysis is provided wherever necessary. The book covers different aspects of classical mechanics, such as Lagrangian and Hamiltonian mechanics, central force motion, small oscillations, rigid body motion, and special theory of relativity. It also includes the rapidly growing areas of nonlinear dynamics and chaos, which are essential for understanding complex phenomena in nature and technology.
The book is available as an ebook on Google Books and Google Play for $6.50. You can also download a free sample of the book to preview its contents and style. The book has received positive reviews from readers who have praised its clarity, rigor, and comprehensiveness. If you want to learn more about classical mechanics and its applications, you should definitely give Classical Mechanics by G. Aruldhas PDF a try.
In this article, we will briefly introduce some of the topics covered in Classical Mechanics by G. Aruldhas PDF. We will also provide some links to the relevant chapters in the book for further reading.
Lagrangian and Hamiltonian Mechanics
Lagrangian and Hamiltonian mechanics are two equivalent formulations of classical mechanics that use different variables and methods to describe the motion of a system. Lagrangian mechanics uses generalized coordinates and velocities, and derives the equations of motion from a scalar function called the Lagrangian. Hamiltonian mechanics uses generalized coordinates and momenta, and derives the equations of motion from a scalar function called the Hamiltonian. Both formulations are based on the principle of least action, which states that the actual path of a system is the one that minimizes the action, which is a function of the Lagrangian or the Hamiltonian. Lagrangian and Hamiltonian mechanics are useful for solving problems that involve constraints, symmetries, conservation laws, and variational principles.
For more details on Lagrangian and Hamiltonian mechanics, you can refer to Chapter 2 and Chapter 3 of Classical Mechanics by G. Aruldhas PDF.
Central Force Motion
Central force motion is a type of motion that occurs when a particle or a body is acted upon by a force that is always directed towards or away from a fixed point called the center of force. The magnitude of the force may depend on the distance from the center of force, but not on the direction. Examples of central forces include gravitational force, electrostatic force, and spring force. Central force motion is important for studying phenomena such as planetary orbits, satellite motion, molecular bonds, and scattering processes.
For more details on central force motion, you can refer to Chapter 4 of Classical Mechanics by G. Aruldhas PDF. aa16f39245