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Winthrop University

Mathematics: MATH 400

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Topic Ideas

Mathematicians, history:

  • Hippocrates - search Hippocrates AND math* to find the ancient mathematician not physician. In math databases, Hippocrates of Chios retrieves articles about the mathematician.
  • Quadrature
  • Pythagoras - also Pythagorean Theorem
  • Euclid - also Euclid's number theory
  • Archimedes - also Sphere and Cylinder
  • Heron - also Heron's triangle  - Heron was also known as Hero of Alexandria.
  • Hipparchus
  • Classical mathematics
  • Fibonacci (also known as Leonardo of Pisa, ca.1170-1249 A.D.)
  • Leonardo da Vinci (search for Leonardo da Vinci AND math* focuses on his mathematical contributions - he applied math to art, )
  • Galileo (search "Galileo and mathemat*)
  • Gerolamo Cardano - also: cubic
  • Isaac Newton - also: binomial, gravity
  • Gottfried Wilhelm von Leibniz
  • Bernoulli - also: Jacob Bernoulli, Johann Bernoulli, Daniel Bernoulli
  • Brachistochrone
  • Pierre de Fermat
  • Leonhard Euler - also Euler's number theory
  • Joseph-Marie Jacquard
  • Benjamin Banneker
  • Ada Lovelace
  • Charles Babbage
  • Mary Somerville
  • Cantor - also transfinite numbers, continuum theory, infinite numbers, infinite cardinals

For tips on finding library resources, see "Search Strategies" to help you with your searching for mathematical topics and historical research.

Topic Ideas for Contemporary Math

Modeling

  • economic forecasting
  • personal & business finance
  • biomathematics
  • product & project costing
  • business valuation
  • complexity theory
  • forecasting of climate and astronomy events (e.g. US Naval Observatory's interactive calculators for sunrise/set, twilight, moon, eclipses etc)

Physical Sciences

  • architecture & building
  • engineering
  • medieval cathedral measurements/proportions for weight distribution
  • Maya & Aztec monumental architecture

Spaces, Movement

  • interior & outdoor spatial configurations
  • mapping
  • Transportation (e.g. route design)

Folding

  • origami math
  • Fold-It - crowd-sourcing game / puzzle for protein-folding research

Rankings & Descriptive Data

Computation, Patterns, Textiles

  • Jacquard’s loom
  • fractals
  • paisley patterns
  • Babbage’s computer
  • Turing and math behind artificial intelligence
  • software algorithms

Statistics

  • biostatistics
  • Florence Nightingale’s pioneering of health statistics
  • meta-analyses