How Mathematics has got broader with time
- Early Mathematics: the study of Quantities and Shapes
- Areas: Number System, Algebra, Number Theory, Geometry
- Foundational work by Euclid (Elements) and Pythagoras
- Calculus
- Mathematics of change
- Still the study of quantities, but changing ones
- 17th century invention
- Newton and Leibniz
- Probability
- Mathematics of chance
- 17th century invention
- Fermat, Pascal & Others
- Analysis
- Generalization of the ideas of Calculus - limit, continuity, differentiability, etc.
- Abstract Algebra
- Generalization of Classical Algebra
- Study of Algebraic Structures
- Mathematics of symmetry (Not just calculation of "quantities")
- Flourished in 19th & 20th Century
- Extensions of geometry
- Riemannian Geometry
- Non-Euclidean space
- 19th century
- Bernhard Riemann
- Topology
- Shape, Set theory
- Late 19th century
- Automata, Languages, Computability - Discrete Mathematics
- 20th century
- Advent of Computers - finite state machine
- Interest in Number Theory, Combinatorics, Graph Theory exploded
- Network Science
- Dynamic graph
- Work begun in earnest in the late 20th and into the 21st century
- Proliferation of Computer, Telecommunications and Social Networks.
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