An edition of Maths in 100 key breakthroughs (2013)

Maths in 100 key breakthroughs

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December 9, 2022 | History
An edition of Maths in 100 key breakthroughs (2013)

Maths in 100 key breakthroughs

Maths in 100 Key Breakthroughs presents a series of essays explaining the fundamentals of the most important maths concepts you really need to know. Richard Elwes profiles the groundbreaking and front-of-mind discoveries that have had a profound influence on our way of life and understanding. From the origins of counting some 35,000 years ago, right up to the very latest breakthroughs - such as Wiles' proof of Fermat's Last Theorem and Cook & Wolfram's Rule 110 - Maths in 100 Key Breakthroughs tells a story of discovery, invention, painstaking progress and inspired leaps of the imagination.

Publish Date
Publisher
Quercus
Language
English
Pages
416

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Previews available in: English

Book Details


Table of Contents

Machine generated contents note: 1. The evolution of counting
2. Tallies
3. Place-value notation
4. Area and volume
5. Pythagoras' theorem
6. Irrational numbers
7. Zeno's paradoxes
8. The Platonic solids
9. Logic
10. Euclidean geometry
11. Prime numbers
12. The area of a circle
13. Conic sections
14. Trigonometry
15. Perfect numbers
16. Diophantine equations
17. Hindu-Arabic numerals
18. Modular arithmetic
19. Negative numbers
20. Algebra
21.Combinatorics
22. The Fibonacci sequence
23. The harmonic series
24. Cubic and quartic equations
25. The complex numbers
26. Logarithms
27. Polyhedra
28. Tessellations
29. Kepler's laws
30. Projective geometry
31. Coordinates
32. Calculus
33. Differential geometry
34. Polar coordinates
35. Normal distribution
36. Graph theory
37. Exponentiation
38. Euler characteristic
39. Conditional probability
40. Fundamental theorem of algebra
41. Fourier analysis
Note continued: 42. The real numbers
43. The unsolvability of the quintic
44. The Navier-Stokes equations
45. Curvature
46. Hyperbolic geometry
47. Constructible numbers
48. Transcendental numbers
49. Polytopes
50. Riemann's zeta function
51. Jordan curve theorem
52. Classification of surfaces
53. Cardinal numbers
54. Wallpaper groups
55. Digital geometry
56. Russell's paradox
57. Special relativity
58. The three-body problem
59. Waring's problem
60. Markov processes
61. General relativity
62. Fractals
63. Abstract algebra
64. Knot polynomials
65. Quantum mechanics
66. Quantum field theory
67. Ramsey theory
68. Godel's incompleteness theorem
69. Turing machines
70. Numerical analysis
71. Information theory
72. Arrow's impossibility theorem
73. Game theory
74. Exotic spheres
75. Randomness
76. The continuum hypothesis
77. Singularity theory
78. Quasicrystals
79. Friendship theorem
Note continued: 80. Non-standard analysis
81. Hilbert's tenth problem
82. The game of Life
83.Complexity theory
84. The travelling salesman problem
85. Chaos theory
86. Four colour theorem
87. Public key cryptography
88. Elliptic curves
89. Weaire-Phelan foam
90. Quantum computing
91. Fermat's Last Theorem
92. Kepler's conjecture
93. Catalan's conjecture
94. Poincare's conjecture
95. Constellations of primes
96. The classification of finite simple groups
97. Langlands program
98. Reverse mathematics
99. Partitions
100. Sudoku.

Edition Notes

Includes index.

Published in
London
Other Titles
Maths in one hundred key breakthroughs

Classifications

Dewey Decimal Class
510.9
Library of Congress
QA93 .E493 2013

The Physical Object

Pagination
416 pages
Number of pages
416

Edition Identifiers

Open Library
OL32797254M
Internet Archive
mathsin100keybre0000elwe
ISBN 10
1780873220
ISBN 13
9781780873220
OCLC/WorldCat
858938491

Work Identifiers

Work ID
OL24708248W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 9, 2022 Edited by ImportBot import existing book
July 15, 2021 Created by ImportBot Imported from Internet Archive item record