Maths | Wikipedia audio article

This is an audio version of the Wikipedia Article:
en.wikipedia.org/wiki/Mathema...
00:00:21 1 History
00:00:52 1.1 Etymology
00:01:13 2 Definitions of mathematics
00:01:35 2.1 Mathematics as science
00:01:56 3 Inspiration, pure and applied mathematics, and aesthetics
00:02:17 4 Notation, language, and rigor
00:02:38 5 Fields of mathematics
00:02:59 5.1 Foundations and philosophy
00:03:20 5.2 Pure mathematics
00:03:41 5.2.1 Quantity
00:03:52 5.2.2 Structure
00:04:13 5.2.3 Space
00:04:34 5.2.4 Change
00:04:55 5.3 Applied mathematics
00:05:16 5.3.1 Statistics and other decision sciences
00:05:37 5.3.2 Computational mathematics
00:05:59 6 Mathematical awards
00:06:20 7 See also
00:06:41 8 Notes
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- Socrates
SUMMARY
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Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). It has no generally accepted definition.Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858-1932), David Hilbert (1862-1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. Mathematicians engage in pure mathematics (mathematics for its own sake) without having any application in mind, but practical applications for what began as pure mathematics are often discovered later.