This is a readable, innovative textbook of mathematical methods for
undergraduate engineering and science students. The text is designed for
a one-year course and is centered around the topics which form the
essentials of engineering mathematics: ordinary differential equations,
vector calculus, linear algebra, and partial differential equations.
Ordinary differential equations are developed in a setting found
suitable for scientists and engineers. Linear algebra, in particular, is
a strong point of the book. The authors use a practical approach based
upon solving equations, and all ideas are introduced from this basic
viewpoint. Partial differential equations are introduced in the context
of physical problems, rather than in an abstract setting. Emphasis is on
the solution of an extensive and varied number of real-world problems,
each treated completely and in sufficient depth to be self-contained.
Advanced Engineering Mathematics is based on the authors' 25 years of
university experience in teaching engineering mathematics.