Prehistoric Times: Basic arithmetic and geometry are used in various ancient cultures.
Ancient Civilizations: Development of mathematics in Babylon, Egypt, China, India, and Greece.
Middle Ages: Islamic scholars preserve and expand on Greek mathematics; the Hindu-Arabic numeral
system is introduced to Europe.
Renaissance: Advances in algebra, introduction of logarithms, and beginnings of probability theory.
17th Century: Birth of calculus; significant contributions by Newton and Leibniz.
18th Century: Development of number theory and complex analysis.
19th Century: Foundations of modern algebra, set theory, and non-Euclidean geometry.
20th Century: Rapid growth in all areas, including statistics, topology, and computer science.

Quantum mechanics has evolved significantly since the early 20th century. Here’s a brief timeline:
1900: Max Planck introduces the quantum hypothesis to explain blackbody radiation.
1905: Albert Einstein explains the photoelectric effect using quanta of light.
1913: Niels Bohr proposes his model of the atom with quantized energy levels.
1924: Louis de Broglie suggests that particles can exhibit wave-like properties.
1926: Erwin Schrödinger formulates his wave equation, a cornerstone of quantum mechanics.
1927: Werner Heisenberg formulates the uncertainty principle.
1935: Einstein, Podolsky, and Rosen publish the EPR paradox paper, questioning quantum mechanics’
completeness.