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E-raamat: Mathematics: A Complete Introduction: The Easy Way to Learn Maths

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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 21-Jun-2018
  • Kirjastus: Teach Yourself
  • Keel: eng
  • ISBN-13: 9781473678361
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Mathematics: A Complete Introduction: The Easy Way to Learn MathsSuurem pilt
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 21-Jun-2018
  • Kirjastus: Teach Yourself
  • Keel: eng
  • ISBN-13: 9781473678361
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'I feared maths when at school - this book is the antidote.' - Amazon 5 star review

'Wonderful compact book for students' - Amazon 5 star review

Maths does not have to be difficult.

This book, complete with exercises and answers, forms a course which will take you from beginner or intermediate level to being a confident mathematician. This book includes: simple step-by-step explanations, to help you grasp new topics or those that have previously confused you; practice questions throughout, to help you embed your learning and improve your confidence; and end of chapter summaries, to help you remember the key points you've learned - all in one great-value book, so you don't need any separate workbooks or coursebooks.



Chapters include: number; angles; fractions; two-dimensional shapes; decimals; statisticsl directed numbers; graphs; measurement; perimeter and area; algebraic expressions; approximations; equations; percentages; formulae; circles; probability; three-dimensional shapes; ratio and proportion; pythagoras' theorem and trigonometry; indices and standard form.

ABOUT THE SERIES The Complete Introduction series from Teach Yourself is the ultimate one-stop guide for anyone wanting a comprehensive and accessible entry point into subjects as diverse as philosophy, mathematics, psychology, Shakespeare and practical electronics. Loved by students and perfect for general readers who simply want to learn more about the world around them, these books are your first choice for discovering something new.
Welcome to Mathematics: A complete introduction! xi
Introduction xii
1 Number 1(14)
1.1 Introduction - place value
1.2 Arithmetic - the four operations
1.3 Order of operations
1.4 Problems which use arithmetic
1.5 Special numbers
1.6 Multiples, factors and primes
2 Angles 15(12)
2.1 Introduction
2.2 Angles
2.3 Measuring and drawing angles
2.4 Using angle facts
2.5 Parallel lines
2.6 Bearings
3 Fractions 27(12)
3.1 Introduction
3.2 What is a fraction?
3.3 Which fraction is bigger?
3.4 Simplifying fractions
3.5 Improper fractions
3.6 Adding and subtracting fractions
3.7 Multiplication of fractions
3.8 Fractions of quantities
3.9 Division of fractions
3.10 A number as a fraction of another number
4 Two-dimensional shapes 39(16)
4.1 Introduction
4.2 Triangles
4.3 Constructing triangles
4.4 Quadrilaterals
4.5 Polygons
4.6 Interior and exterior angles
4.7 Symmetries of regular polygons
4.8 Congruent shapes
4.9 Tessellations
5 Decimals 55(16)
5.1 Introduction
5.2 Place value
5.3 Converting decimals to fractions
5.4 Converting fractions to decimals 1
5.5 Addition and subtraction
5.6 Multiplication of decimals
5.7 Division of decimals
5.8 Converting fractions to decimals 2
6 Statistics 1 71(20)
6.1 Introduction
6.2 Collection of data
6.3 Pictograms
6.4 Bar charts
6.5 Pie charts
6.6 Line graphs
6.7 Scatter graphs
6.8 Discrete and continuous data
6.9 Grouping data
7 Directed numbers 91(8)
7.1 Introduction
7.2 Ordering directed numbers
7.3 Addition and subtraction
7.4 Multiplication and division
7.5 Using a calculator
8 Graphs 1 99(12)
8.1 Coordinates
8.2 Straight-line graphs
8.3 Lines parallel to the axes
9 Measurement 111(8)
9.1 The metric system
9.2 Imperial units
9.3 Converting between metric and imperial units
9.4 Choosing suitable units
10 Perimeter and area 119(14)
10.1 Perimeter
10.2 Area
10.3 Area of a rectangle
10.4 Area of a parallelogram
10.5 Area of a triangle
10.6 Area of a trapezium
11 Algebraic expressions 133(18)
11.1 Introduction - what is algebra?
11.2 Writing expressions
11.3 Simplifying expressions
11.4 Evaluating expressions
11.5 Squaring
11.6 Brackets
11.7 Factorizing expressions
11.8 Indices
11.9 Laws of indices
11.10 Simplifying expressions with indices
12 Approximation 151(12)
12.1 Introduction
12.2 Rounding whole numbers
12.3 Rounding with decimals
12.4 Significant figures
12.5 Estimates
12.6 Rounding in practical problems
12.7 Accuracy of measurements
13 Equations 1 163(12)
13.1 Introduction
13.2 Finding missing numbers
13.3 Solving linear equations
13.4 Equations with brackets
13.5 Solving problems using equations
13.6 Solving inequalities
14 Percentages 175(14)
14.1 Introduction
14.2 Percentages, decimals, fractions
14.3 Percentages of quantities
14.4 Increasing and decreasing quantities
14.5 One quantity as a percentage of another quantity
14.6 Percentage increases
14.7 Using multipliers
15 Formulae 189(8)
15.1 What is a formula?
15.2 Evaluating terms other than the subject
15.3 Changing the subject of a formula
16 Circles 197(12)
16.1 Introduction
16.2 Circumference of a circle
16.3 Area of a circle
16.4 Two properties of circles
17 Probability 209(16)
17.1 Introduction
17.2 Relative frequency
17.3 Probability of a single event
17.4 Two events
17.5 Tree diagrams
17.6 Expected frequency
18 Three-dimensional shapes 225(14)
18.1 Introduction
18.2 Nets and surface area
18.3 Volume of a cuboid
18.4 Volume of a prism
18.5 Weight of a prism
19 Ratio and proportion 239(12)
19.1 What is a ratio?
19.2 Scales
19.3 Using ratio
19.4 Direct proportion
19.5 Inverse proportion
20 Pythagoras' theorem and trigonometry 251(18)
20.1 Pythagoras' theorem
20.2 Using Pythagoras' theorem
20.3 Proof of Pythagoras' theorem
20.4 Pythagoras' theorem problems
20.5 Trigonometry
20.6 The tangent ratio
20.7 Values of the tangent
20.8 Using tangents
20.9 Sine and cosine
21 Indices and standard form 269(12)
21.1 Indices
21.2 Laws of indices
21.3 Prime factors
21.4 Highest common factor
21.5 Lowest common multiple
21.6 Standard form - large numbers
21.7 Standard form - small numbers
21.8 Standard form calculations
22 Statistics 2 281(14)
22.1 Averages
22.2 The mode
22.3 The median
22.4 The mean
22.5 The range
22.6 Frequency tables
22.7 Grouped frequency tables
23 Graphs 2 295(14)
23.1 Equations of straight lines
23.2 Drawing straight-line graphs
23.3 The gradient of a straight line
23.4 Curved graphs
24 Equations 2 309(18)
24.1 Simultaneous equations
24.2 Algebraic methods
24.3 Quadratic expressions
24.4 Factorizing quadratic expressions
24.5 Quadratic equations
24.6 Solution by factorizing
24.7 Cubic equations
Answers 327(34)
Taking it further 361(4)
Index 365
Hugh Neill is a maths teacher who has also been an inspector and chief examiner. His books have helped over 100,000 people improve their mathematics. Trevor was the Chief Examiner for Edexcel's International GCSE and was joint editor and author of the Edexcel GCSE Mathematics series.
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