history of mathematics in 21th century?

Question

about mathematicals history

Answer 1

Since the century is only five and a half years old, not much has been done yet.

The most important thing so far is the solution to the Poincare Conjecture.

Answer 2

Compared to masters degree mathematics now a days there is a lot of improvement .Specially in the field of probability and operational research.
but the standards inn the lower claSSES HAS BEEN ADVANCED TOO MUCH

Answer 3

70,000 BC - South Africa, ochre rocks adorned with scratched geometric patterns
35,000 BC to 20,000 BC - Africa and France, earliest known prehistoric attempts to quantify time
20,000 BC - Nile Valley, Ishango Bone: possibly the earliest reference to prime numbers and Egyptian multiplication
3400 BC - Mesopotamia, the Sumerians invent the first numeral system, and a system of weights and measures
3100 BC - Egypt, earliest known decimal system allows indefinite counting by way of introducing new symbols,
2800 BC - Indus Valley Civilization on the Indian subcontinent, earliest use of decimal ratios in a uniform system of ancient weights and measures, the smallest unit of measurement used is 1.704 millimetres and the smallest unit of mass used is 28 grams.
2800 BC - The Lo Shu Square, the unique normal magic square of order three, was discovered in China.
2700 BC - Egypt, precision surveying
2600 BC - Indus Valley Civilization - objects, streets, pavements, houses, and multi-storied buildings are constructed at perfect right angles, with each brick having the same dimensions
2400 BC - Mesopotamia, the Babylonians invent the earliest calculator, the abacus
2400 BC - Egypt, precise astronomical calendar, used even in the Middle Ages for its mathematical regularity
ca. 2000 BC - Mesopotamia, the Babylonians use a base-60 decimal system, and compute the first known approximate value of π at 3.125
1800 BC - Moscow Mathematical Papyrus, generalized formula for finding volume of frustums,
1800 BC - Vedic India - Yajnavalkya writes the Shatapatha Brahmana, in which he describes the motions of the sun and the moon, and advances a 95-year cycle to synchronize the motions of the sun and the moon
1800 BC - the Yajur Veda, one of the four Hindu Vedas, contains the earliest concept of infinity, and states that "if you remove a part from infinity or add a part to infinity, still what remains is infinity"
1650 BC - Rhind Mathematical Papyrus, copy of a lost scroll from around 1850 BC, the scribe Ahmes presents one of the first known approximate values of π at 3.16, the first attempt at squaring the circle, earliest known use of a sort of cotangent, and knowledge of solving first order linear equations
1350 BC - Indian astronomer Lagadha writes the "Vedanga Jyotisha", a Vedic text on astronomy that describes rules for tracking the motions of the sun and the moon, and uses geometry and trigonometry for astronomy
1300 BC - Berlin papyrus (19th dynasty) shows that the ancient Egyptians knew how to solve 2nd order algebraic equations:

1000 BC - Vulgar fractions used by the Egyptians.
800 BC - Baudhayana, author of the Baudhayana Sulba Sutra, a Vedic Sanskrit geometric text, contains the first use of the Pythagorean theorem, quadratic equations, and calculates the square root of 2 correct to five decimal places
600 BC - Apastamba, author of the Apastamba Sulba Sutra, another Vedic Sanskrit geometric text, makes an attempt at squaring the circle and also calculates the square root of 2 correct to five decimal places
600 BC - the other Vedic "Sulba Sutras" ("rule of chords" in Sanskrit) use Pythagorean triples, contain of a number of geometrical proofs, and approximate π at 3.16
530 BC - Pythagoras studies propositional geometry and vibrating lyre strings; his group also discover the irrationality of the square root of two,
500 BC - Indian grammarian Pānini, considered the father of computing machines, writes the Astadhyayi, which contains the use of metarules, transformations and recursions, originally for the purpose of systematising the grammar of Sanskrit
400 BC - Jaina mathematicians in India write the "Surya Prajinapti", a mathematical text which classifies all numbers into three sets: enumerable, innumerable and infinite. It also recognises five different types of infinity: infinite in one and two directions, infinite in area, infinite everywhere, and infinite perpetually.
300s BC - Indian texts use the Sanskrit word "Shunya" to refer to the concept of 'void' (zero)
370 BC - Eudoxus states the method of exhaustion for area determination,
350 BC - Aristotle discusses logical reasoning in Organon,
300 BC - Jaina mathematicians in India write the "Bhagabati Sutra", which contains the earliest information on combinations
300 BC - Euclid in his Elements studies geometry as an axiomatic system, proves the infinitude of prime numbers and presents the Euclidean algorithm; he states the law of reflection in Catoptrics, and he proves the fundamental theorem of arithmetic
300 BC - Brahmi numerals, is conceived in India
300 BC - Indian mathematician Pingala writes the "Chhandah-shastra", which contains the first Indian use of zero as a digit (indicated by a dot) and also presents a description of a binary numeral system, along with the first use of Fibonacci numbers and Pascal's triangle
260 BC - Archimedes develops a method to prove the value of π to within two decimal places using inscribed and circumscribed polygons and computes the area under a parabolic segment,
250 BC - late Olmecs had already begun to use a true zero (a shell glyph) several centuries before Ptolemy in the New World. See 0 (number).
240 BC - Eratosthenes uses his sieve algorithm to quickly isolate prime numbers,
225 BC - Apollonius of Perga writes On Conic Sections and names the ellipse, parabola, and hyperbola,
150 BC - Jain mathematicians in India write the "Sthananga Sutra", which contains work on the theory of numbers, arithmetical operations, geometry, operations with fractions, simple equations, cubic equations, quartic equations, and permutations and combinations
140 BC - Hipparchus develops the bases of trigonometry,
50 BC - Indian numerals, the first positional notation base-10 numeral system, begins developing in India