Ancient RomeIn modern historiography, ancient Rome refers to Roman civilisation from the founding of the Italian city of Rome in the 8th century BC to the collapse of the Western Roman Empire in the 5th century AD. It encompasses the Roman Kingdom (753–509 BC), Roman Republic (509–27 BC), and Roman Empire (27 BC–476 AD) until the fall of the western empire. Ancient Rome began as an Italic settlement, traditionally dated to 753 BC, beside the River Tiber in the Italian Peninsula.
Late antiquityLate antiquity was the time of transition from classical antiquity to the Middle Ages, generally spanning the 4th–8th century in Europe and adjacent areas bordering the Mediterranean Basin. The popularization of this periodization in English has generally been credited to historian Peter Brown, after the publication of his seminal work The World of Late Antiquity (1971). Precise boundaries for the period are a continuing matter of debate, but Brown proposes a period between the 3rd and 8th centuries AD.
Western philosophyWestern philosophy encompasses the philosophical thought and work of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the pre-Socratics. The word philosophy itself originated from the Ancient Greek (φιλοσοφία), literally, "the love of wisdom" φιλεῖν , "to love" and σοφία sophía, "wisdom").
CyrenaicaCyrenaica (ˌsaɪrəˈneɪɪkə,_ˌsɪr- ) or Kyrenaika (Barqah, Kurēnaïkḗ [eparkhíā], after the city of Cyrene), is the eastern region of Libya. Cyrenaica includes all of the eastern part of Libya between the 16th and 25th meridians east, including the Kufra District. The coastal region, also known as Pentapolis ("Five Cities") in antiquity, was part of the Roman province of Crete and Cyrenaica, later divided into Libya Pentapolis and Libya Sicca. During the Islamic period, the area came to be known as Barqa, after the city of Barca.
History of algebraAlgebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).
Classical antiquityClassical antiquity, also known as the classical era, classical period, classical age, or simply antiquity, is the period of cultural history between the 8th century BC and the 8th century AD centered on the Mediterranean Sea, comprising the interlocking civilizations of ancient Greece and ancient Rome known as the Greco-Roman world. It is the period in which both Greek and Roman societies flourished and wielded huge influence throughout much of Europe, North Africa, and West Asia.