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Full Description
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
Accompanying online resources for this title can be found at bloomsburyonlineresources.com/engineering-mathematics. These resources are designed to support teaching and learning when using this textbook and are available at no extra cost.
Contents
PART I: FOUNDATION TOPICS
Arithmetic
Introduction to Algebra
Expressions and Equations
Graphs
Linear Equations
Polynomial Equations
Binomials
Partial Fractions
Trigonometry
Functions
Trigonometric and Exponential Functions
Differentiation
Integration
PART II
Complex Numbers 1
Complex Numbers 2
Hyperbolic Functions
Determinants
Matrices
Vectors
Differentiation
Differentiation Applications
Tangents, Normals and Curvature
Sequences
Series 1
Series 2
Curves and Curve Fitting
Partial Differentiation 1
Partial Differentiation 2
Integration 1
Integration 2
Reduction Formulas
Integration Applications 1
Integration Applications 2
Integration Applications 3
Approximate Integration
Polar Coordinate Systems
Multiple Integrals
First-Order Differential Equations
Second-Order Differential Equations
Introduction to Laplace Transforms
Statistics
Probability
Answers.
