Mathematics masterclasses for young people / Michael Sewell.

Format:

Book

Author/Creator:

Sewell, M. J. (Michael J.), 1934- author.

Language:

English

Subjects (All):

Mathematics--Study and teaching (Middle school).

Mathematics.

Physical Description:

1 online resource (xii, 110 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Oxford, England : Oxford University Press, [2017]

Summary:

This work consists of a series of "masterclasses", short sessions of mathematics beyond the standard school syllabus aimed at 10 to 15-year-olds with a flair for mathematics who want to stretch themselves.

Contents:

Cover

Foreword

Contents

List of Figures

1 Introduction

2 Spin-Up

3 Subject Definitions

4 Odds and Evens

5 Solving Equations

6 Weighing the Baby by Algebra

7 Prime Numbers

8 Don't Jump to Conclusions

9 Euler's Formula

10 Goldbach's Guess

11 Perfect Numbers

12 Euclid's Theorem

13 Mathematical Symbols

14 Medicine Problem

15 Dramatic Dates

16 The Foggy Day Problem

17 Angles

18 Angles Inside a Triangle

19 Angles Inside a Quadrilateral

20 Angles Inside a Polygon with n Sides

21 Method for Finding the Centre of a Circle

22 Angles in a Sector of a Circle

23 Orthocentre

24 Arithmetic Progression

25 Leavers from an Expanding School

26 Isaac Newton

27 Geometric Progression

28 Zeno's Paradox

29 Big Birthday Problem

30 Sundays in February

31 Think of a Number

32 Handshaking

33 Losing Money to the Bank

34 Supermarket Offers: Deal or No Deal?

35 Imperial and Metric

36 House Prices in Maidenhead

37 Fahrenheit and Centigrade

38 Small Things

39 Leonardslee Cake

40 Halving Areas

41 Isosceles Tiling

42 Roman Numerals

43 New Money for Old

44 Distance Measures

45 Weight Measures

46 Perimeter-Diameter Ratios

47 Fibonacci Numbers

48 Quadratic Equations and the Fibonacci Sequence

49 Pascal's Triangle and the Fibonacci Sequence

50 Golden Ratio

51 Pythagoras and the Fleet Air Arm

52 Fermat's Last Theorem

53 Another Proof of Pythagoras' Theorem

54 A Third Proof of Pythagoras' Theorem

55 Another Application of Pythagoras' Theorem

56 Pythagorean Triples

57 Nautical Notation

58 Paper Sizes

59 Paper Sizes and an Infinite Sequence of Triangles

60 Magic Squares

61 Binomial Squares

62 Some Special Squares

63 The Nine-Point Circle

64 The Thirteen-Point Circle

65 Cardioid.

66 Irregular Hexagons and Pappus' Theorem

67 Regular Hexagons

68 The Rugby Riddle

69 Family Trees in People and Bees

70 The Tethered Goat Problem

71 Fencing the Bulls

72 Surprises

73 Sewell's Spirals

74 Prime Diagonals

75 Cubic Cusp in the Classroom

76 Nature's Circles

77 Rainbow

78 Basis and Bases of Arithmetic

79 Lunes

80 An Octet of Equal Circles

81 Alternative Construction of the Octet

82 Triangle Constructions

83 A Mosaic of Equal Circles

84 Intersection of Equal Spheres

85 Christmas Cracker

86 Ostrich Egg

87 Holditch's Theorem

88 A Coffee Shop Problem

89 Step Waves

References

Author information

Index.

Notes:

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-252130-6

OCLC:

1119609229