Advanced Engineering Mathematics

Author: Wu Mengda
Publisher:
Publish Date: 2004-08-01
Features: This book systematically introduces the fundamental principles and practical applications of engineering mathematics. The book is divided into 5 parts. Part 1 covers first-order, second-order, and higher-order linear equations, Laplace transforms, numerical solutions of differential equations, phase planes, and nonlinear equations. Part 2 studies systems of linear algebraic equations, Gaussian elimination, vector spaces, matrix and vector equations, and eigenvalue problems. Part 3 elaborates on scalar field and vector field theory, multivariable equations, three-dimensional vectors, and curves. Part 4 analyzes Fourier series, partial differential equations, Fourier integrals, Fourier transforms, diffusion equations, wave equations, and Laplace equations. Part 5 describes complex function equations, conformal mappings, complex function integrals, Taylor series, Laurent series, and the residue theorem.