Theory of Differential Equations in Engineering and Mechanics

Kam Tim Chau

September 22, 2017 by CRC Press
Reference - 973 Pages - 190 B/W Illustrations
ISBN 9781138748132 - CAT# K32626

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Features

  • Makes careful choice of the equations used
  • Offers excellent reference for students at many levels: Graduate and undergraduate
  • Suits a very wide range of problems, across engineering mechanics: civil, mechanical, aerospace engineering, through to nanotechnology, climate change and celestial mechanics
  • Covers material often missed in other books, e.g. Newton-Raphson method, Newmark Beta method, Wilson Theta method
  • Summary

    This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications.

    This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods.

    All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.

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