Applications Of Engineering Mathematics

The physical science plays vital role in development of mathematics in specific analysis of mechanical engineering elements. Classic mechanics is bit difficult to understand without mathematical knowledge. Mathematical physics find its own application in the field of biology, physics, chemistry, economics, psychology, social science and mathematics.

• Mechanics of particles and systems: Mechanics of particles and systems concerns more about dynamic study of particles or solid objects like vibrating bodies and rotating bodies. The use of differential equations in variational particles like energy minimization.
• Mechanics of deformable solids:  It concerns more about wave propagation, elasticity, plasticity and engineering.
• Fluid mechanics: It concerns differential equation solution like finite element analysis method.
• Optics, electromagnetic theory: It concerns electromagnetic wave propagation and evolution.
• Classical thermodynamics: It concerns heat flow like combustion and phase change.
• Quantum theory: It concerns Schrodinger equation solution, quantum group theory, distribution theory, and functional analysis theory and lie group theory.
•  Statistical mechanics: it deals with stochastic systems, evolving systems and moving systems.
• Relativity & gravitational theory: It concerns group theory, differential geometry.
• Astronomy & astrophysics: It concerns celestial mechanics and mechanics of particles parts.
• Geophysics: It concerns fluid mechanics and material mechanics.
• System theory: It concerns more about complex system to identify, selection of parameters, control the mechanical system.
• Biology & natural science: It concerns statistical inference through visualization and information transfer.
• Economics, social science game theory: It includes experimental design with time series analysis, voting theory and combinational theory.

Questions:

• What are the mathematical applications of mechanical engineering?
• What is the application of engineering mathematics in fluid dynamics?
• What is the application of engineering mathematics in solid mechanics?