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This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
The 20th century saw mathematics become a major profession. By the end of the century, thousands of new Ph.D.s in mathematics were being awarded every year, and jobs were available in both teaching and industry. [203] An effort to catalogue the areas and applications of mathematics was undertaken in Klein's encyclopedia. [204]
The Abbasid patrons of learning, al-Mansur, Haroun al-Raschid, and al-Mamun, has Greek, Babylonian, and Indian mathematical and scientific works translated into Arabic and begins a cultural, scientific and mathematical awakening after a century devoid of mathematical achievements. [9] 820
36th century BC: 35th century BC: 34th century BC: 33rd century BC: 32nd century BC: 31st century BC: 3rd millennium BC · 3000–2001 BC 30th century BC: 29th century BC: 28th century BC: 27th century BC: 26th century BC: 25th century BC: 24th century BC: 23rd century BC: 22nd century BC: 21st century BC: 2nd millennium BC · 2000–1001 BC ...
5th century BC - The Zeno's paradoxes, 5th century BC - Antiphon attempts to square the circle, 5th century BC - Democritus finds the volume of cone is 1/3 of volume of cylinder, 4th century BC - Eudoxus of Cnidus develops the method of exhaustion, 3rd century BC - Archimedes displays geometric series in The Quadrature of the Parabola.
The foundational crisis of mathematics arose at the end of the 19th century and the beginning of the 20th century with the discovery of several paradoxes or counter-intuitive results. The first one was the proof that the parallel postulate cannot be proved.
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Many areas of mathematics began with the study of real world problems, before the underlying rules and concepts were identified and defined as abstract structures.For example, geometry has its origins in the calculation of distances and areas in the real world; algebra started with methods of solving problems in arithmetic.