
 The mathematics applied today has its roots in ancient Egypt and Babylonian, which grew rapidly in Greece.
 The ancient Greek mathematics, along with some Hindu
mathematics, was translated into Arabic, then Latin, making it the mathematics of the Western Europe.
 After some time, it became the mathematics of the world.
ANCIENT WORLD

counting, measurement, and calculation > systematic study of objects, relationships, and systems
ANCIENT WORLD

 Provides the tools needed to shape the world
Applied mathematics

 Mathematicians develop theorems and seek proofs Esoteric part of the discipline
Pure mathematics

 Mathematics fell into a decline that lasted for about 1, 000 years, except in China, India, and the Arab world where mathematics continued to thrive.
 One of the few bright spots in European mathematics during this period was the work of Fibonacci who helped open Europe to the Arabic mathematical methods.
MIDDLE AGES

 Developments were focused more on Algebra than in Geometry
 Many contributions to this algebraicallybased mathematics came in like the Arabic numerals, the negative numbers, and the + and – signs.
MODERN ERA – 16TH CENTURY

 Introduction of logarithms
 Analytic Geometry
 Calculus
 Started the study of probability
MODERN ERA – 17TH CENTURY

 Discovered differential equations, infinite series, number theory, theory of probability, solutions to algebraic equations, and complex numbers.
 Euler – century’s greatest mathematician
MODERN ERA – 18TH CENTURY

 Modern abstract algebra started with the invention of group theory
 Calculus was extended to the complex numbers
 Other developments in set theory and mathematical logic
MODERN ERA – 19TH CENTURY

 Development of mathematical logic
 Specialized fields of study such as group theory, knot theory, topology, graph theory, functional analysis, chaos theory, game theory, and many more started to develop during this period.
MODERN ERA – 20TH CENTURY

