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Table of contents:
This text provides a well-paced, mathematically sound and motivating foundation in 'applicable' mathematics. The book aims to give students the ability to think conceptually in mathematical terms by presenting mathematical techniques, together with simple and clear explanations of the concepts behind them. A wide variety of practical engineering examples are used to reinforce the mathematics.
Contents:
1
Arithmetic
2
Symbols and Indices
3
Numbers and Sets
4
Working with Expressions
5
Using Formulae
6
Functions and their Graphs
7
Common Engineering Functions
8
Further Properties of Functions and their Graphs
9
Solving Equations and Inequalities
10
Angles and their Trigonometric Ratios
11
Partial Fractions
12
Estimation
13
Logarithms and Exponentials
14
Triangles and their Solutions Trigonometric Identities and Functions
15
Engineering Waves
16
Geometry of the Straight Line
17
The Conics Section
18
Mensuration
19
Sequences and Series
20
Change and Rates of Change
21
Some Rules of Differentiation
22
Integration - the Reverse of Differentiation
23
Areas under Curves and Definite Integrals
24
Techniques of Integration
25
Matrices and Determinants
26
Vectors
27
An Introduction to Complex Numbers
28
Statistics and Probability
Appendices: I
SI Units and Prefixes
II
Unit Conversions
Solutions to Exercises
Index.
Brief Description:
This foundation text is aimed at the less well-prepared student at pre-degree level, and provides well-paced, mathematically sound and motivating coverage. The text concentrates on applicable maths, and highlights the relevance of the mathematical techniques presented.
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