Key features * A unique technique-oriented approach takes the student through the mathematics in a highly accessible way * Comprehensive coverage of all topics required by undergraduates at advanced levels of mathematics in engineering and science * Hundreds of worked examples and progressively more challenging exercises * Ideal either as part of a course or for self-study New to this edition * Expanded coverage including chapters on Z transforms, Fourier transforms, numerical solutions of partial differential equations, and more on complex numbers * Learning outcomes and Can You? checklists to guide students through the course