The Unreasonable Elegance of Mathematics
This book offers an introduction to the nature of mathematics, its history, and some of the curious individuals who have shaped it. It explores a range of fundamental ideas that can be appreciated without prior mathematical training. Highlighting the human side of mathematics and its shared lineage...
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| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edició: | 1st ed. 2025. |
| Col·lecció: | SUMS Readings,
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| Accés en línia: | https://doi.org/10.1007/978-3-032-03815-9 |
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Taula de continguts:
- 1 What is Mathematics?
- 2 Pascal’s Triangle, Number Magic and the Apocalypse
- 3 Some Simple Number Mysteries
- 4 Cellular Automata
- 5 Axioms: the Rules of the Game
- 6 Direct and Indirect Proofs
- 7 Dirichlet’s Box Principle
- 8 Adding Infinitely Many Things
- 9 Incorrectly Adding Infinitely Many Things
- 10 The Other Side of the Story (Plato vs. Wittgenstein)
- 11 Different Infinities
- 12 The Monte Carlo Method
- 13 Chaos Theory
- 14 Mathematics as a Tool for Dishonesty
- 15 Able Amateurs and Colorful Crackpots
- 16 The House Always Wins
- 17 Matching Things
- 18 Conflict and Cooperation
- 19 The End of Knowledge.