jedishrfu said:The gold standard here is Goldstein’s book on Classical Mechanics but I wouldn’t consider it to easy to self study from though I knew several students who did.
The second would be Marion’s book on Classical Dynamics but again it is for junior senior level undergrad physics.
Have you also considered online courses? They could be used to augment what you learn in the book.
some of our past threads shown below have some good references too. Here’s one such thread with several recommendations for books.
https://www.physicsforums.com/threads/good-book-for-lagrangian-and-hamiltonian-mechanics.885257/
vanhees71 said:
Dr Transport said:
isher_mondal said:Thank you for answering. Well as far as the link to the thread you posted is concerned, the books suggested there were for a student in final year of bsc...and i am just a beginner here. So the link could not help me.
Regarding the online courses thing that you talked about, can you suggest me some links please?
isher_mondal said:I am an undergrad 1st year student in Physics
isher_mondal said:I am an undergraduate student in the 3rd sem,
isher_mondal said:Can you suggest me a basic Classical Mechanics book of undergrad level that will help to learn about Newton's law,...
isher_mondal said:an you please suggest me a book that will introduce me to Lagrangian and Hamiltonian Mechanics
Lagrangian Mechanics is a mathematical framework used to describe the motion of particles and systems. It is based on the principle of least action, which states that the motion of a system is determined by minimizing the action (a measure of the system's energy) over a given time interval.
A good introduction to Lagrangian Mechanics is essential for understanding the fundamentals of this branch of physics. It provides a solid foundation for more advanced topics and allows for a deeper understanding of the mathematical concepts involved.
Some key concepts in Lagrangian Mechanics include generalized coordinates, Lagrangian equations of motion, and the principle of virtual work. These concepts are used to describe the motion of particles and systems in a more general and elegant way compared to traditional Newtonian mechanics.
Yes, Lagrangian Mechanics has many real-world applications in fields such as engineering, physics, and astronomy. It is used to model the motion of complex systems, such as satellites orbiting the Earth, and to analyze the behavior of mechanical systems, such as a swinging pendulum.
While a strong mathematical background is helpful in understanding the intricacies of Lagrangian Mechanics, it is not necessary to have a deep understanding of advanced mathematics. A basic understanding of calculus and physics principles is sufficient for grasping the main concepts of Lagrangian Mechanics.