Mathematical and Mechanical Methods in Mechanical Engineering

The book introduces mathematical and mechanical methods that are most frequently utilized in mechanical engineering, including vector analysis and field theory, coordinate system and transformation, tensor and tensor analysis, differential form, calculus of variation, introductory theory of differentiable manifold, preliminary theory of Lie group, principium of analytic mechanics, rudiment of finite deformation elasticity and numerical methods to solve partial differential equations. The book can be a textbook or a reference book for postgraduate students and engineers of mechanical engineering.