Hindi is also spoken, to a lesser extent, in other parts of India (usually in a simplified or pidginised variety such as Bazaar Hindustani or Haflong Hindi). Outside India, several other languages are recognised officially as "Hindi" but do not refer to the Standard Hindi language described here and instead descend from other nearby languages, such as Awadhi and Bhojpuri. Such languages include Fiji Hindi, which has an official status in Fiji, and Caribbean Hindustani, which is spoken in Suriname, Trinidad and Tobago, and Guyana. Apart from the script and formal vocabulary, standard Hindi is mutually intelligible with standard Urdu, another recognised register of Hindustani as both share a common colloquial base.

Hindi is the fourth most-spoken first language in the world, after Mandarin, Spanish and English. If counted together with the mutually intelligible Urdu, it is the third most-spoken language in the world, after Mandarin and English. According to reports of Ethnologue (2022, 25th edition) Hindi is the third most-spoken language in the world including first and second language speakers.

The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars.

The earliest mathematical texts available are from Mesopotamia and Egypt – Plimpton 322 (Babylonian c. 2000 – 1900 BC), the Rhind Mathematical Papyrus (Egyptian c. 1800 BC)[3] and the Moscow Mathematical Papyrus (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.

The study of mathematics as a "demonstrative discipline" began in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction".[4] Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and mathematical rigor in proofs) and expanded the subject matter of mathematics.

England became inhabited more than 800,000 years ago, as the discovery of stone tools and footprints at Happisburgh in Norfolk have indicated.[1] The earliest evidence for early modern humans in Northwestern Europe, a jawbone discovered in Devon at Kents Cavern in 1927, was re-dated in 2011 to between 41,000 and 44,000 years old.[2] Continuous human habitation in England dates to around 13,000 years ago (see Creswellian), at the end of the Last Glacial Period. The region has numerous remains from the Mesolithic, Neolithic and Bronze Age, such as Stonehenge and Avebury. In the Iron Age, all of Britain south of the Firth of Forth was inhabited by the Celtic people known as the Britons, including some Belgic tribes (e.g. the Atrebates, the Catuvellauni, the Trinovantes, etc.) in the south east. In AD 43 the Roman conquest of Britain began; the Romans maintained control of their province of Britannia until the early 5th century.

The end of Roman rule in Britain facilitated the Anglo-Saxon settlement of Britain, which historians often regard as the origin of England and of the English people. The Anglo-Saxons, a collection of various Germanic peoples, established several kingdoms that became the primary powers in present-day England and parts of southern Scotland.[3] They introduced the Old English language, which largely displaced the previous Brittonic language. The Anglo-Saxons warred with British successor states in western Britain and the Hen Ogledd (Old North; the Brittonic-speaking parts of northern Britain), as well as with each other. Raids by Vikings became frequent after about AD 800, and the Norsemen settled in large parts of what is now England. During this period, several rulers attempted to unite the various Anglo-Saxon kingdoms, an effort that led to the emergence of the Kingdom of England by the 10th century.