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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Hlavní autor: Poulo, Richard (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Vydání:1st ed. 2024.
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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.