Advanced modern engineering mathematics / Glyn James and Phil Dyke.

Includes index.

Matrix analysis -- Numerical solution of ordinary differential equations -- Vector calculus -- Functions of a complex variable -- Laplace transforms -- The z transform -- Fourier series -- The Fourier transform -- Partial differential equations -- Optimization -- Applied probability and statistics.

The philosophy of 'learning by doing' is continued in this fifth edition. It provides treatments of some of the more advanced areas of mathematics used in engineering, particularly those used as tools for computer-based system modelling analysis and design. $b Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB, MAPLE and R further support students.