Mathematicians Don’t Work With Numbers 1st Edition by Richard Poulo ISBN 3031589157 9783031589157

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Product details:

ISBN 10: 3031589157

ISBN 13: 9783031589157 

Author: Richard Poulo 

This book answers, in the form of short and entertaining vignettes, the question: “What do mathematicians really do?” Readers will learn that mathematicians use numbers in the same way that novelists use letters. The individual letters are typed while the author thinks on a much grander scale, invisible to the observer.

Requiring only familiarity with the multiplication table (and that for only one vignette), the book makes accessible a variety of mathematical concepts, such as game theory, chaos, and traffic flow modelling. The author accomplishes this with a light, engaging style, and a range of real-world examples that includes everything from barbershops to President James Garfield.

Mathematicians Don’t Work With Numbers will be of interest to the large audience of people who have always assumed that mathematicians do, in fact, work with numbers.

Table of contents:

1. Public Key Encryption

2. Fractals

3. Graphs

4. Military Math

5. Statistics – A Rant

6. Estimation

7. Ramanujan

8. Hardy

9. It’s Obvious

10. Chaos

11. Recognition

12. Map Coloring

13. Groups

14. Topology I

15. Topology II

16. Non-existence Proofs

17. Existence Proofs

18. Can’t Be Computed

19. Can’t Be Proved

20. Games

21. The Greatest Three

22. Sets

23. Infinity

24. The Largest Hotel Ever

25. Tied Up in Knots

26. Probably

27. Rush Hour Traffic

28. Fermat and His Last Theorem

29. A Million Bucks

30. Russia vs. America

31. Cardano, Viète and Notation

32. President James Garfield

33. Error-Correcting Codes

34. Mercator Maps

35. Ball and Saddle Geometries

36. The Spherical Earth

37. Consistency

38. Can Be Proved

39. Cycloids

40. Calculus of Variations

41. Amazing Waves

42. How to Push a Pendulum

43. Surprising Theorems

44. Mathematical Aesthetics

45. Katherine Johnson’s Math

46. My Career as a Mathematician

47. Afterword

48. Further Reading

49. Movies About Real Mathematicians

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Tags: Richard Poulo, Mathematicians, Numbers