About this book
The best-selling introductory mathematics textbook for students on engineering and science degree and pre-degree courses. Sales stand at more than half a million copies world-wide. Its unique programmed approach really works! Many thousands of students have found that they understand and excel through using this book. It takes you through the mathematics in a step-by-step fashion with a wealth of examples and exercises. The text demands that you engage with it by asking you to complete steps that you should be able to manage from previous examples or knowledge you have acquired, while carefully introducing new steps. By working with the authors through the examples, you become proficient as you go. By the time you come to trying examples on your own, confidence is high. Aimed at undergraduates on Foundation and First Year degree programmes in all Engineering disciplines and Science. The Foundation section covers mathematics from GCSE onwards to allow for revision and gap-filling, and so means the book can be used for a range of abilities and all levels of access. New to this Edition:
- A general revision of the entire contents
- In Matrices an emphasis on eigenvalues and eigenvectors and the introduction of the Cayley–Hamilton theorem
- New review summaries plus a new easy reference to help check back when you need more help
- Key chapters improved yet further as a result of detailed student feedback
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Information
Table of contents
- Summary of contents
- Contents
- Preface to the first edition
- Preface to the second edition
- Preface to the third edition
- Preface to the fourth edition
- Preface to the eighth edition
- How to use this book
- The Personal Tutor
- Useful background information
- PART I Foundation topics
- Programme F.1 Arithmetic
- Programme F.2 Introduction to algebra
- Programme F.3 Expressions and equations
- Programme F.4 Graphs
- Programme F.5 Linear equations
- Programme F.6 Polynomial equations
- Programme F.7 Binomials
- Programme F.8 Partial fractions
- Programme F.9
- Programme F.10 Functions
- Programme F.11 Trigonometric and exponential functions
- Programme F.12 Differentiation
- Programme F.13 Integration
- PART II
- Programme 1 Complex numbers 1
- Programme 2 Complex numbers 2
- Programme 3 Hyperbolic functions
- Programme 4 Determinants
- Programme 5 Matrices
- Programme 6 Vectors
- Programme 7 Differentiation
- Programme 8 Differentiation applications
- Programme 9 Tangents, normals and curvature
- Programme 10 Sequences
- Programme 11 Series 1
- Programme 12 Series 2
- Programme 13 Curves and curve fitting
- Programme 14 Partial differentiation 1
- Programme 15 Partial differentiation 2
- Programme 16 Integration 1
- Programme 17 Integration 2
- Programme 18 Reduction formulas
- Programme 19 Integration applications 1
- Programme 20 Integration applications 2
- Programme 21 Integration applications 3
- Programme 22 Approximate integration
- Programme 23 Polar coordinate systems
- Programme 24 Multiple integrals
- Programme 25 First-order differential equations
- Programme 26 Second-order differential equations
- Programme 27 Introduction to Laplace transforms
- Programme 28 Data handling and statistics
- Programme 29 Probability
- Answers
- Index
