**Description**

cultures and to ideas that have intrigued mathematicians for centuries.

Mathematics is both ancient and modern and is built up from widespread cultural and political influences. From India and Arabia we derive our modern numbering system but it is one tempered

with historical barnacles. The ‘base 60’ of the Babylonians of two or three millennia BC shows up in

**our own culture – we have 60 seconds in a minute and 60 minutes in an hour; a right angle is still**

90 degrees and not 100 grads as revolutionary France adopted in a first move towards decimalization.

The technological triumphs of the modern age depend on mathematics and surely there is no longer any pride left in announcing to have been no good at it when at school. Of course school mathematics is a different thing, often taught with an eye to examinations. The time pressure of school does not help either, for mathematics is a subject where there is no merit in being fast.

People need time to allow the ideas to sink in. Some of the greatest mathematicians have been painfully slow as they strove to understand the deep concepts of their subject.

There is no hurry with this book. It can be dipped into at leisure. Take your time and discover what these ideas you may have heard of really mean. Beginning with Zero, or elsewhere if you wish,

you can move on a trip between islands of mathematical ideas. For instance, you can become knowledgeable about Game theory and next read about Magic squares. Alternatively you can move

from Golden rectangles to the famous Fermat’s last theorem, or any other path.

This is an exciting time for mathematics. Some of its major problems have been solved in recent times. Modern computing developments have helped with some but been helpless against others. The Four-colour problem was solved with the aid of a computer, but the Riemann hypothesis, the final chapter of the book, remains unsolved – by computer or any other means.

**Content:-**

Introduction

01. Zero

02. Number systems

03. Fractions

04. Squares and square roots

05. π

06. e

07. Infinity

08. Imaginary numbers

09. Primes

10. Perfect numbers

11. Fibonacci numbers

12. Golden rectangles

13. Pascal’s triangle

14. Algebra

15. Euclid’s algorithm

16. Logic

17. Proof

18. Sets

19. Calculus

20. Constructions

21. Triangles

22. Curves

23. Topology

24. Dimension

25. Fractals

26. Chaos

27. The parallel postulate

28. Discrete geometry

29. Graphs

30. The four-colour problem

31. Probability

32. Bayes’s theory

33. The birthday problem

34. Distributions

35. The normal curve

36. Connecting data

37. Genetics

38. Groups

39. Matrices

40. Codes

41. Advanced counting

42. Magic squares

43. Latin squares

44. Money mathematics

45. The diet problem

46. The travelling salesperson

47. Game theory

48. Relativity

49. Fermat’s last theorem

50. The Riemann hypothesis

Glossary

Index

**Author Details**

**"Tony Crilly"**

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