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Complete Mathematics: Teach Yourself [Pehme köide]

  • Formaat: Paperback / softback, 336 pages, kõrgus x laius x paksus: 198x130x27 mm, kaal: 330 g
  • Ilmumisaeg: 25-Jun-2010
  • Kirjastus: Teach Yourself
  • ISBN-10: 1444105027
  • ISBN-13: 9781444105025
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  • Lisa soovinimekirja
  • Formaat: Paperback / softback, 336 pages, kõrgus x laius x paksus: 198x130x27 mm, kaal: 330 g
  • Ilmumisaeg: 25-Jun-2010
  • Kirjastus: Teach Yourself
  • ISBN-10: 1444105027
  • ISBN-13: 9781444105025
Teised raamatud teemal:
Is this the right book for me? Are you looking for a clear, accessible guide to mathematics that can help you brush up your skills and rediscover the key concepts and techniques? Complete Mathematics provides an invaluable, step-by-step introduction to the subject. Packed full of worked examples and useful exercises, it will guide you through the essentials quickly and easily, giving you the knowledge you need to gain maths confidence. Complete Mathematics includes: Chapter 1: Numbers Chapter 2: Angles Chapter 3: Fractions Chapter 4: Two-dimensional shapes Chapter 5: Decimals Chapter 6: Statistics 1 Chapter 7: Directed numbers Chapter 8: Graphs 1 Chapter 9: Measurement Chapter 10: Perimeter and area Chapter 11: Algebraic expresions Chapter 12: Approximation Chapter 13: Equations 1 Chapter 14: Percentages Chapter 15: Formulae Chapter 16: Circles Chapter 17: Probability Chapter 18: Three-dimensional shapes Chapter 19: Ratio and proportion Chapter 20: Pythagoras' theorem and trigonometry Chapter 21: Indices and standard form Chapter 22: Statistics 2 Chapter 23: Graphs 2 Chapter 24: Equations 2 Learn effortlessly with a new easy-to-read page design and interactive features: Not got much time? One, five and ten-minute introductions to key principles to get you started. Author insights Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. Test yourself Tests in the book and online to keep track of your progress. Extend your knowledge Extra online articles to give you a richer understanding of the subject. Five things to remember Quick refreshers to help you remember the key facts. Try this Innovative exercises illustrate what you've learnt and how to use it.

Arvustused

"All the topics are well explained and with a little application, the content is within the grasp of all ... if you want to refresh your knowledge after a long time, help your children with homework, or just understand the wonder of maths, this is a book you should have." -- G. Wall - Amazon reviewer

Personal introduction xi
Only got a minute? xii
Only got five minutes? xiv
Only got ten minutes? xvi
1 Number
1(14)
1.1 Introduction - place value
1(2)
1.2 Arithmetic - the four operations
3(1)
1.3 Order of operations
4(3)
1.4 Problems which use arithmetic
7(1)
1.5 Special numbers
8(2)
1.6 Multiples, factors and primes
10(5)
2 Angles
15(14)
2.1 Introduction
15(1)
2.2 Angles
16(2)
2.3 Measuring and drawing angles
18(2)
2.4 Using angle facts
20(2)
2.5 Parallel lines
22(3)
2.6 Bearings
25(4)
3 Fractions
29(15)
3.1 Introduction
29(1)
3.2 What is a fraction?
29(2)
3.3 Which fraction is bigger?
31(1)
3.4 Simplifying fractions
31(2)
3.5 Improper fractions
33(1)
3.6 Adding and subtracting fractions
34(2)
3.7 Multiplication of fractions
36(1)
3.8 Fractions of quantities
37(1)
3.9 Division of fractions
38(2)
3.10 A number as a fraction of another number
40(4)
4 Two-dimensional shapes
44(19)
4.1 Introduction
44(1)
4.2 Triangles
44(4)
4.3 Constructing triangles
48(2)
4.4 Quadrilaterals
50(2)
4.5 Polygons
52(1)
4.6 Interior and exterior angles
53(2)
4.7 Symmetries of regular polygons
55(1)
4.8 Congruent shapes
55(2)
4.9 Tessellations
57(6)
5 Decimals
63(17)
5.1 Introduction
63(1)
5.2 Place value
64(2)
5.3 Converting decimals to fractions
66(1)
5.4 Converting fractions to decimals 1
67(1)
5.5 Addition and subtraction
68(1)
5.6 Multiplication of decimals
69(3)
5.7 Division of decimals
72(2)
5.8 Converting fractions to decimals 2
74(6)
6 Statistics 1
80(24)
6.1 Introduction
80(1)
6.2 Collection of data
81(1)
6.3 Pictograms
82(1)
6.4 Bar charts
83(4)
6.5 Pie charts
87(2)
6.6 Line graphs
89(4)
6.7 Scatter graphs
93(3)
6.8 Discrete and continuous data
96(1)
6.9 Grouping data
97(7)
7 Directed numbers
104(9)
7.1 Introduction
104(1)
7.2 Ordering directed numbers
105(1)
7.3 Addition and subtraction
106(2)
7.4 Multiplication and division
108(3)
7.5 Using a calculator
111(2)
8 Graphs 1
113(12)
8.1 Coordinates
113(3)
8.2 Straight-line graphs
116(5)
8.3 Lines parallel to the axes
121(4)
9 Measurement
125(9)
9.1 The metric system
125(2)
9.2 Imperial units
127(2)
9.3 Converting between metric and imperial units
129(1)
9.4 Choosing suitable units
130(4)
10 Perimeter and area
134(14)
10.1 Perimeter
134(2)
10.2 Area
136(2)
10.3 Area of a rectangle
138(3)
10.4 Area of a parallelogram
141(1)
10.5 Area of a triangle
141(3)
10.6 Area of a trapezium
144(4)
11 Algebraic expressions
148(21)
11.1 Introduction - what is algebra?
148(1)
11.2 Writing expressions
148(3)
11.3 Simplifying expressions
151(2)
11.4 Evaluating expressions
153(2)
11.5 Squaring
155(1)
11.6 Brackets
155(3)
11.7 Factorizing expressions
158(1)
11.8 Indices
159(1)
11.9 Laws of indices
160(3)
11.10 Simplifying expressions with indices
163(6)
12 Approximation
169(13)
12.1 Introduction
169(1)
12.2 Rounding whole numbers
169(2)
12.3 Rounding with decimals
171(3)
12.4 Significant figures
174(2)
12.5 Estimates
176(2)
12.6 Rounding in practical problems
178(1)
12.7 Accuracy of measurements
179(3)
13 Equations 1
182(13)
13.1 Introduction
182(1)
13.2 Finding missing numbers
183(1)
13.3 Solving linear equations
183(5)
13.4 Equations with brackets
188(1)
13.5 Solving problems using equations
189(2)
13.6 Solving inequalities
191(4)
14 Percentages
195(14)
14.1 Introduction
195(1)
14.2 Percentages, decimals, fractions
195(4)
14.3 Percentages of quantities
199(2)
14.4 Increasing and decreasing quantities
201(1)
14.5 One quantity as a percentage of another quantity
202(1)
14.6 Percentage increases
203(2)
14.7 Using multipliers
205(4)
15 Formulae
209(7)
15.1 What is a formula?
209(2)
15.2 Evaluating terms other than the subject
211(2)
15.3 Changing the subject of a formula
213(3)
16 Circles
216(13)
16.1 Introduction
216(2)
16.2 Circumference of a circle
218(3)
16.3 Area of a circle
221(3)
16.4 Two properties of circles
224(5)
17 Probability
229(17)
17.1 Introduction
229(1)
17.2 Relative frequency
230(1)
17.3 Probability of a single event
231(3)
17.4 Two events
234(5)
17.5 Tree diagrams
239(4)
17.6 Expected frequency
243(3)
18 Three-dimensional shapes
246(14)
18.1 Introduction
246(3)
18.2 Nets and surface area
249(2)
18.3 Volume of a cuboid
251(2)
18.4 Volume of a prism
253(3)
18.5 Weight of a prism
256(4)
19 Ratio and proportion
260(13)
19.1 What is a ratio?
260(2)
19.2 Scales
262(3)
19.3 Using ratio
265(2)
19.4 Direct proportion
267(2)
19.5 Inverse proportion
269(4)
20 Pythagoras' theorem and trigonometry
273(19)
20.1 Pythagoras' theorem
273(1)
20.2 Using Pythagoras' theorem
274(4)
20.3 Proof of Pythagoras' theorem
278(1)
20.4 Pythagoras' theorem problems
279(1)
20.5 Trigonometry
280(1)
20.6 The tangent ratio
281(1)
20.7 Values of the tangent
282(1)
20.8 Using tangents
283(2)
20.9 Sine and cosine
285(7)
21 Indices and standard form
292(14)
21.1 Indices
292(1)
21.2 Laws of indices
293(1)
21.3 Prime factors
294(1)
21.4 Highest common factor
295(2)
21.5 Lowest common multiple
297(1)
21.6 Standard form - large numbers
298(3)
21.7 Standard form - small numbers
301(1)
21.8 Standard form calculations
302(4)
22 Statistics 2
306(16)
22.1 Averages
306(1)
22.2 The mode
306(1)
22.3 The median
307(2)
22.4 The mean
309(3)
22.5 The range
312(1)
22.6 Frequency tables
313(2)
22.7 Grouped frequency tables
315(7)
23 Graphs 2
322(15)
23.1 Equations of straight lines
322(3)
23.2 Drawing straight-line graphs
325(3)
23.3 The gradient of a straight line
328(3)
23.4 Curved graphs
331(6)
24 Equations 2
337(21)
24.1 Simultaneous equations
337(2)
24.2 Algebraic methods
339(4)
24.3 Quadratic expressions
343(2)
24.4 Factorizing quadratic expressions
345(3)
24.5 Quadratic equations
348(1)
24.6 Solution by factorizing
349(3)
24.7 Cubic equations
352(6)
Answers 358(30)
Taking it further 388(5)
Index 393
Trevor Johnson and Hugh Neill are both very well established authors, A Level examiners and maths consultants. Trevor is the Chief Examiner for Edexcel's International GCSE and was joint editor and author of the recently published Edexcel GCSE Mathematics series.