A series of unsolved puzzles in number theory called Diophantine problems date back to 3,700 years ago. Over the years mathematicians have whittled away at them, and recent work has made significant ...
Mathematical physics methods, as a technique category, comprise the rigorous analytical and structural tools used to formulate, analyze, and solve physical theories in a mathematically precise ...
Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...