Applications of Differential Equations in Engineering and Mechanics

ISBN-13: 9780367026431 / Angielski / Miękka / 2018 / 830 str.

Kam Tim Chau

Opis

Comprehensive coverage of the essential differential equations students are likely to encounter in solving engineering and mechanics problems -- alongside a preliminary companion text on theory. This covers a very broad range of problems, with a focus on the mathematical technique for solving the differential equations involved.

Spis treści

Theory of Beams and Columns. Theory of Plates. Theory of Shells. Structural Dynamics. Catenary and Cable Suspension Bridges. Nonlinear Buckling. Transports and Waves in Fluids. Geophysical Fluid Flows. Nonlinear Waves and Solitons. Mathematical Theory for Maxwell Equations. Quantum Mechanics and Schrodinger Equation. Celestial Mechanics. Fracture Mechanics and Dynamics.

O autorze

Professor K.T. Chau is Chair Professor of Geotechnical Engineering and former Associate Dean (Research and Development) at the Hong Kong Polytechnic University, where he was awarded the "Teaching Excellence Award in 2012/2013" by the Department of Civil and Environmental Engineering. He is a Fellow of the Hong Kong Institution of Engineers and past President of the Hong Kong Society of Theoretical and Applied Mechanics. He is the Chairman of the Elasticity Committee of the Engineering Mechanics Division of ASCE, the Chairman of the TC103 Technical Committee of Numerical Methods on Geomechanics of International Society of Soil Mechanics and Geotechnical Engineering and the Chairman of the Geomechanics Committee of the Applied Mechanics Division of ASME. He is also the Vice President of the Hong Kong Institute of Science. His book "Analytic Methods in Geomechanics" was published in 2013 by CRC Press, and it is the first book of its kind, covering, continuum mechanics, tensor analysis, 2-D elasticity, 3-D elasticity, plasticity, fracture mechanics, viscoelasticity, poroelasticity, and dynamics and waves in geomaterials. Since 2012, he has been teaching subjects called "Engineering Analysis" and "Engineering Analysis & Computation" at PolyU. They are mainly using differential equations in engineering analysis.