Mathematics is crucial to all aspects of engineering and technology. Understanding key mathematical concepts and applying them successfully to solve problems are vital skills every engineering student must acquire. This text teaches, applies and nurtures those skills.
Mathematics for Engineers is informal, accessible and practically oriented. The material is structured so students build up their knowledge and understanding gradually. The interactive examples have been carefully designed to encourage students to engage fully in the problem-solving process.
Guided Tour
Publisher's acknowledgements
Preface
Using mathematical software packages
- Arithmetic
- Fractions
- Decimal numbers
- Percentage and ratio
- Basic algebra
- Functions
- Polynomial equations, inequalitites, partial fractions and proportionality
- Logartihms 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
Typical examination papers
Appendix: SI units and prefixes
Index
· Many new examples applied to various engineering disciplines to put mathematics into context
· More exercises have been added to help test your understanding
· Complete and comprehensive coverage of all essential areas of first year engineering mathematics
· Hundreds of fully worked, wide ranging examples from many branches of engineering
· Interactive style and examples that engage and involve the reader
· Content divided into self-contained blocks for ease of study
· Key points and important results highlighted throughout
· A wealth of practice and revision exercises with solutions
· Computer and calculator examples and exercises covering a broad range of software