Advanced Engineering Mathematics

This edition offers detailed coverage of the essentials of applied analysis for both engineers and physicists. The unifying concepts of linearity and series representation are stressed throughout. Other features include the use of linear algebra concepts and terminology in the chapters on differential equations, a complete discussion of systems of differential equations and special functions, a discussion of partial differential equations before vector calculus is introduced. "Looking Ahead" sections at the end of each chapter show the interrelationships of the various topics. Both the text and problem sets include a large number of applications. This book should be of interest to first and second year undergraduate courses in advanced engineering mathematics, or for any part of a course in vector calculus, complex variables, Fourier series or partial differential equations.