30-Second Maths
eBook - ePub

30-Second Maths

The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

  1. 160 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

30-Second Maths

The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

About this book

From Rubik's cubes to Godel's incompleteness theorem, everything mathematical explained, with colour illustrations, in half a minute. Maths is enjoying a resurgence in popularity. So how can you avoid being the only dinner guest who has no idea who Fermat was, or what he proved? The more you know about Maths, the less of a science it becomes. 30 Second Maths takes the top 50 most engaging mathematical theories, and explains them to the general reader in half a minute, using nothing more than two pages, 200 words and one picture. Read at your own pace, and discover that maths can be more fascinating than you ever imagined.

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Yes, you can access 30-Second Maths by Richard J. Brown in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Mathematics General. We have over one million books available in our catalogue for you to explore.

INDEX

A
Abel, Niels 1
abstract algebra 1
addition and subtraction 1, 2
algebra 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
algebraic expressions 1, 2
algebraic geometry 1, 2
algebraic number theory 1, 2
algebraic numbers 1, 2, 3
algorithms 1, 2, 3, 4, 5, 6
Al-Khwarizmi, Abu ‘Abdullah Muhammad Ibn Musa 1, 2, 3
analytical geometry 1
Archimedes of Syracuse 1, 2, 3
Archimedes’ Principle 1
Aristotle 1
arithmetic 1, 2, 3, 4, 5, 6, 7, 8
Aryabhata 1
B
base 2 (see binary system)
base 10 (see decimal system)
base 12 (see duodecimal system)
base 20 (see vigesimal system)
base 60 (see sexagesimal system)
Bayes, Rev. Thomas 1
Bayes’ theorem 1
bell curve 1
Bernoulli, Jacob 1
Bienaymé, Irénée-Jules 1
binary sequence 1, 2
binary system 1, 2, 3
Boolean logic (Boolean algebra) 1, 2, 3
Borel, Émile 1
Brahmagupta 1, 2
C
calculus 1, 2, 3, 4, 5, 6
Cantor, Georg 1
Cantor set 1
Cardano, Girolamo 1
Cartesian coordinates 1, 2, 3
central limit theorem 1
Church, Alonzo 1
complex numbers 1, 2, 3, 4, 5
continuum hypothesis 1
counting bases 1
cubic equations 1, 2...

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Introduction
  6. Numbers & Counting
  7. GLOSSARY
  8. Fractions & Decimals
  9. Rational & Irrational Numbers
  10. Imaginary Numbers
  11. Counting Bases
  12. Prime Numbers
  13. Fibonacci Numbers
  14. Pascal’s Triangle
  15. profile: Blaise Pascal
  16. Number Theory
  17. Making Numbers Work
  18. GLOSSARY
  19. Zero
  20. Infinity
  21. Addition & Subtraction
  22. Multiplication & Division
  23. Exponentials & Logarithms
  24. Functions
  25. profile: Gottfried Leibniz
  26. Calculus
  27. Chance is a Fine Thing
  28. GLOSSARY
  29. Game Theory
  30. Calculating the Odds
  31. profile: Girolamo Cardano
  32. The Law of Large Numbers
  33. The Gambler’s Fallacy – Law of Averages
  34. The Gambler’s Fallacy – Doubling Up
  35. Randomness
  36. Bayes’ Theorem
  37. Algebra & Abstraction
  38. GLOSSARY
  39. The Variable Placeholder
  40. The Equation
  41. Polynomial Equations
  42. profile: Abu ‘Abdallah Muhammad ibn Musa al-Khwarizmi
  43. Algorithms
  44. Sets & Groups
  45. Rings & Fields
  46. Geometry & Shapes
  47. GLOSSARY
  48. Euclid’s Elements
  49. Pi – The Circle Constant
  50. The Golden Ratio
  51. profile: Pythagoras
  52. Trigonometry
  53. Squaring the Circle
  54. Parallel Lines
  55. Graphs
  56. Another Dimension
  57. GLOSSARY
  58. Platonic Solids
  59. Topology
  60. Euler Bricks
  61. The Möbius Strip
  62. profile: Archimedes of Syracuse
  63. Fractals
  64. Origami Geometry
  65. Rubik’s Cube
  66. Knot Theory
  67. Proofs & Theorems
  68. GLOSSARY
  69. Fermat’s Last Theorem
  70. profile: Pierre de Fermat
  71. The Four Colour Mapping Problem
  72. Hilbert’s Program
  73. Gödel’s Incompleteness Theorem
  74. Poincaré’s Conjecture
  75. The Continuum Hypothesis
  76. Riemann’s Hypothesis
  77. APPENDICES
  78. Resources
  79. Notes on Contributors
  80. Index
  81. Acknowledgements