Mathematics for engineers / Anthony Croft, Robert Davison.

Arithmetic -- Fractions -- Decimal numbers -- Percentage and ratio -- Basic algebra -- Functions and mathematical models -- Polynomial equations, inequalities, partial fractions and proportionality -- Logarithms and exponentials -- Trigonometry -- Further trigonometry -- Complex numbers -- Matrices and determinants -- Using matrices and determinants to solve equations -- Vectors -- Differentiation -- Techniques and applications of differentiation -- Integration -- Applications of integration -- Sequences and series -- Differential equations -- Functions of more than one variable and partial differentiation -- The laplace transform -- Statistics and probability -- An introduction to Fourier series and the Fourier transform.

"Understanding key mathematical concepts and applying them successfully to solve problems are vital skills that all engineering students must acquire. Mathematics for Engineers introduces, teaches, develops and nurtures those skills. Practical, informal and accessible, it begins with the foundations and gradually builds upon this knowledge as it introduces more complex concepts until you have learned everything you will need for your first year engineering mathematics course, together with a wealth of introductory material for even more advanced topics such as Laplace and Fourier transforms and partial differential equations. Key features Applications of mathematics drawn from a wide range of engineering areas: aeronautical, automotive, chemical, civil, computer, electrical and electronic, manufacturing, materials, mechanical, production, reliability, and systems engineering. A wealth of practice and revision exercises with solutions help test your knowledge. Key points and important results are highlighted throughout. Computer and calculator examples and exercises are incorporated in relevant sections. Specimen examination papers give further opportunity to practise. A foundation section gives you a firm base in arithmetic, the building block of many high-level mathematical topics. New to this 5th edition - significant enhancements integrating the use of computer software in the solution of engineering mathematics problems - widening of the applications base to include more from mechanical, materials and aeronautical engineering - introductory material on the solution of partial differential equations, loci in the complex plane and the equation of a circler"--