Mathematics for Engineers and Technologists

Description

Cover ; Contents; Series Preface; Introduction; Chapter 1. Functions; 1.1 Introduction to functions; 1.2 Linear functions; 1.3 Quadratic functions; 1.4 Inverse functions; 1.5 Circular functions; 1.6 Exponential functions; 1.7 Log functions; 1.8 Hyperbolic functions; Chapter 2. Vectors, phasors and complex numbers; 2.1 Vectors; 2.2 Phasors; 2.3 Complex numbers; Chapter 3. Mathematical models; 3.1 Modelling; 3.2 Relating models and data; Chapter 4. Calculus; 4.1 Differentiation; 4.2 Integration; Chapter 5. Differential equations; 5.1 Differential equations.;This book is carefully designed to be used on a wide range of introductory courses at first degree and HND level in the U.K., with content matched to a variety of first year degree modules from IEng and other BSc Engineering and Technology courses. Lecturers will find the breadth of material covered gears the book towards a flexible style of use, which can be tailored to their syllabus, and used along side the other IIE Core Textbooks to bring first year students up to speed on the mathematics they require for their engineering degree.*Features real-world examples, case studies, assignments a. Cover Contents Series Preface Introduction Chapter 1. Functions 1.1 Introduction to functions 1.2 Linear functions 1.3 Quadratic functions 1.4 Inverse functions 1.5 Circular functions 1.6 Exponential functions 1.7 Log functions 1.8 Hyperbolic functions Chapter 2. Vectors, phasors and complex numbers 2.1 Vectors 2.2 Phasors 2.3 Complex numbers Chapter 3. Mathematical models 3.1 Modelling 3.2 Relating models and data Chapter 4. Calculus 4.1 Differentiation 4.2 Integration Chapter 5. Differential equations 5.1 Differential equations. 5.2 First-order differential equations5.3 Second-order differential equations Chapter 6. Laplace transform 6.1 The Laplace transform 6.2 Solving differential equations 6.3 Transfer function Chapter 7. Sequences and series 7.1 Sequences and series 7.2 Fourier series Chapter 8. Logic gates 8.2 Boolean algebra 8.3 Logic gate systems Chapter 9. Probability and statistics 9.1 Probability 9.2 Distributions 9.3 Experimental errors Solutions to problems Index.