1. What's the problem with mathematics?, *David Acheson*

2. The mathematics of messages, *Alan J. Aw*

3. Decathlon: The art of scoring points, *John D. Barrow*

4. Queen Dido and the mathematics of the extreme, *Greg Bason*

5. Can strings tie things together?, *David Berman*

6. Grooves and knuckleballs, *Ken Bray*

7. Pigs didn't fly but swine flu, *Ellen Brooks-Pollock and Ken Eames*

8. Bill Tutte: Unsung Bletchley hero, *Chris Budd*

9. What's the use of a quadratic equation?, *Chris Budd and Chris Sangwin*

10. Tony Hilton Royle Skyrme, *Alan Champneys*

11. The mathematics of obesity, *Carson C. Chow*

12. It's a small world really, *Tony Crilly*

13. How does mathematics help at a murder scene?, *Graham Divall*

14. Mathematics: The language of the universe, *Marcus du Sautoy*

15. The troublesome geometry of CAT scanning, *Richard Elwes*

16. The mathematics of sports gambling, *Alistair Fitt*

Pythagoras's Theorem: a2

17. A conversation with Freeman Dyson, *Marianne Freiberger and Rachel Thomas*

18. A glass of bubbly, *Paul Glendinning*

19. The influenza virus: It's all in the packaging, *Julia Gog*

20. Mathematicians at the movies: Sherlock Holmes vs Professor Moriarty, *Derek Moulton and Alain Goriely*

21. Solving the Bristol bridge problem, *Thilo Gross*

22. All ravens are black: Puzzles and paradoxes in probability and statistics, *David Hand*

23. The Tower of Hanoi: Where mathematics meets psychology, *Andreas Hinz and Marianne Freiberger*

24. Career: A sample path, *Philip* *Holmes*

25. Sweets in the jar, *Steve Humble*

26. Mary Cartwright, *Lisa Jardine*

27. The fallibility of mathematics, *Adam Jasko*

28. Anecdotes of Dr Barrow, *Tom Korner*

29. Finding Apollo, *Adam Kucharski*

30. The golden ratio in astronomy and astrophysics, *Mario Livio*

31. The high-power hypar, *Peter Lynch*

32. This is not a carrot: Paraconsistent mathematics, *Maarten McKubre-Jordens*

33. The mystery of Groombridge Place, *Alexander Masters and Simon Norton*

Pythagoras's Theorem: b2

34. Mysterious number 6174, *Yutaka Nishiyama*

35. Percolating possibilities, *Colva Roney-Dougal & Vince Vatter*

36. Milestones on a non-Euclidean journey, *Caroline Series*

37. Simpson's rule, *Simon Singh*

38. Risking your life, *David Spiegelhalter*

39. Networks and illusions, *Ian Stewart*

40. Emmy Noether: Against the odds, *Danielle Stretch*

41. Of catastrophes and creodes: How maths benefits from collaboration with other fields, *Paul Taylor*

42. Conic section hide and seek, *Rachel Thomas*

43. Sir James Lighthill: A life in waves, *Ahmer Wadee*

44. Fail safe or fail dangerous, *Ahmer Wadee and Alan Champneys*

45. Leapfrogging into the future: How child's play is at the heart of weather and climate models, *Paul Williams*

46. Motorway mathematics, *Eddie Wilson*

47. The philosophy of applied mathematics, *Phil Wilson*

48. Mighty Morphogenesis, *Thomas Woolley*

49. Called to the barcode, *Andrew Wrigley*

50. Roughly fifty-fifty?, *Gunter Ziegler*

Pythagoras's Theorem: c2