Number theory is one of branches of mathematics which deals with relations between Integer Numbers (positive and negative natural numbers and zero) which shown as Z numbers.
Number theory, as a course in undergraduate of mathematics, usually starts with topic of “Divisibility”. This section involves with some sub-topics like “division algorithm”, “Greatest Common Divisor”, “Least Common Multiple”, “Euclid Algorithm”, “Prime Numbers”, “Sieve of Eratosthenes”, “Fundamental Theorem of Arithmetic”, “Linear Diophantine Equations” and etc.
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Classic mechanic or “Classic Dynamic” is all about applying the Newton’s laws on a dynamic system and deriving the dynamic equations of motions of system. Usually, you first draw Free Body Diagram of system and apply the forces on parts and derive the equations of motion. Therefore, we could say Classic Dynamic is “Force-Based” approach.
In “Analytical Dynamic”, we use another approach to derive “equations of motion” or “Dynamic Equations of System”. In this approach we first calculate the energy of system (kinetic and potential energies) and then derive the dynamic equations from energy of the system, thus, the Analytical Dynamic is “Energy-Based” approach.
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