Mathematicians Don't Work With Numbers
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 sc...
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| Korporativní autor: | |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Vydání: | 1st ed. 2024. |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-031-58916-4 |
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Obsah:
- Introduction
- A Citizen’s Dilemma
- The Structure of Mathematics
- A Danger Scale
- Public Key Encryption I
- Public Key Encryption II
- Fractals
- Graphs
- Military Math
- Statistics – A Rant
- Estimation
- Ramanujan
- Hardy
- It’s Obvious
- Chaos
- Recognition
- Map Coloring
- Groups
- Topology I
- Topology II
- Non-existence Proofs
- Existence Proofs
- Can’t Be Computed
- Can’t Be Proved
- Games
- The Greatest Three
- Sets
- Infinity
- The Largest Hotel Ever
- Tied Up in Knots
- Probably
- Rush Hour Traffic
- Fermat and His Last Theorem
- A Million Bucks
- Russia vs. America
- Cardano, Viète and Notation
- President James Garfield
- Error-Correcting Codes
- Mercator Maps
- Ball and Saddle Geometries
- The Spherical Earth
- Consistency
- Can Be Proved
- Cycloids
- C******* of Variations
- Amazing Waves
- How to Push a Pendulum
- Surprising Theorems
- Mathematical Aesthetics
- Katherine Johnson’s Math
- My Career as a Mathematician
- Afterword
- Further Reading
- Movies About Real Mathematicians.