Advanced Engineering Mathematics: Second Edition

Author: (American) Greenberg
Publisher:
Publish Date: 2004-03-01
Features: The main features of this book are:
● Extensive use of to describe ordinary differential equations and linear algebra
● Introduction to singular integrals
● Analysis of the Maple computer algebra system
● Includes content related to harmonic oscillators, impulses, chemical analysis, and spatial analysis
● Discusses the application of nonlinear theory in neural pulses and vision
● Provides numerous exercises and examples to help students better understand the content
This book is suitable as a textbook for undergraduate or graduate students in mathematics or engineering at universities. It can also be used by teachers and engineers for learning and reference. For self-learners, it is also a rare reference book. The book systematically introduces the fundamental principles and practical applications of engineering mathematics. The book is divided into 5 parts. Part 1 introduces 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 mapping, complex function integration, Taylor series, Laurent series, and the residue theorem. This book is suitable as a textbook for undergraduate or graduate students in mathematics or engineering at universities. It can also be used by teachers and engineers for learning and reference. For self-learners, it is also a rare reference book.