Mathematical techniques : an introduction for the engineering, physical, and mathematical sciences / Dominic Jordan, Peter Smith

Includes bibliography

Standard functions and techniques -- Differentiation -- Further techniques for differentiation -- Applications of differentiation -- Taylor series and approximations -- Complex numbers -- Matrix algebra -- Determinants -- Elementary operations with vectors -- The scalar product -- Vector product -- Linear algebraic equations -- Eigenvalues and eigenvectors -- Antidifferentation and area -- The definite and indefinite integral -- Applications involving the integral as a sum -- Systematic techniques for integration -- Unforced linear differential equations with constant coefficients --Forced linear differential equations -- Harmonic functions and the harmonic oscillator -- Steady forced oscillations: phasors, impedance, transfer functions -- Graphical, numerical and other aspects of first-order equations -- Nonlineat differential equations and the phase plane -- The laplace transform -- Laplace and z transforms: applications -- Fourier series -- Fourier transforms -- Differentiation of functions of two variables -- Functions of two variables: geometry and formulae -- Chain rules, restricted maxima, coordinate systems -- Functions of any number of variables --Doulbe integration -- Line integrals -- Vector fields: divergence and curl -- Sets -- Boolean algebra: logic gates and switching functions -- Graph theory and its applications -- Difference equations -- Probability -- Random variables and probability distributions -- Descriptive statistics -- Applications projects using symbolic computing -- Answers to selected problems

This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also for the routine methods needed by mathematics students.

Previous ed.: 1997