Analytical mechanics is a branch of classical mechanics that uses mathematical methods, such as calculus and differential equations, to study the motion of particles and systems.
Some commonly used analytical mechanics references include books such as "Classical Mechanics" by John R. Taylor, "Introduction to Analytical Mechanics" by Alexander Ziwet, and "Analytical Mechanics" by Louis N. Hand and Janet D. Finch.
Analytical mechanics is different from other branches of mechanics, such as Newtonian mechanics and Lagrangian mechanics, in that it focuses on using mathematical methods to solve problems and derive equations of motion.
Analytical mechanics has many real-world applications, such as in engineering, physics, and astronomy. It is used to study the motion of objects in space, design structures and machines, and understand the behavior of complex systems.
To understand analytical mechanics, a strong foundation in calculus, differential equations, and physics is necessary. Familiarity with concepts such as forces, energy, and motion is also important.