This book provides a complete course for first-year engineering mathematics. Whichever field of engineering you are studying, you will be most likely to require knowledge of the mathematics presented in this textbook. Taking a thorough approach, the authors put the concepts into an engineering context, so you can understand the relevance of mathematical techniques presented and gain a fuller appreciation of how to draw upon them throughout your studies.
Chapter 1 Number, Algebra and Geometry
Chapter 2 Functions
Chapter 3 Complex Numbers
Chapter 4 Vector Algebra
Chapter 5 Matrix Algebra
Chapter 6 An Introduction to Discrete Mathematics
Chapter 7 Sequences, Series and Limits
Chapter 8 Differentiation and Integration
Chapter 9 Further Calculus
Chapter 10 Introduction to Ordinary Differential Equations
Chapter 11 Introduction to Laplace Transforms
Chapter 12 Introduction to Fourier Series
Chapter 13 Data Handling and Probability Theory