Leonardo Fibonacci

Leonardo Pisano Bogollo, (c. 1170 – c. 1250)[1] also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, or, most commonly, simply Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages."[2]
Fibonacci is best known to the modern world for:[3]
The spreading of the Hindu-Arabic numeral system in Europe, primarily through the publication in the early 13th century of his Book of Calculation, the Liber Abaci.
A number sequence named after him known as the Fibonacci numbers, which he did not discover but used as an example in the Liber Abaci.
Leonardo Fibonacci was born around AD 1170 to Guglielmo Fibonacci, a wealthy Italian merchant. Guglielmo directed a trading post (by some accounts he was the consultant for Pisa) in Bugia, a port east of Algiers in the Almohad dynasty's sultanate in North Africa (now Bejaia, Algeria). As a young boy, Leonardo traveled with him to help; it was there he learned about the Hindu-Arabic numeral system.[5]
Recognizing that arithmetic with Hindu-Arabic numerals is simpler and more efficient than with Roman numerals, Fibonacci traveled throughout the Mediterranean world to study under the leading Arab mathematicians of the time. Leonardo returned from his travels around 1200. In 1202, at age 32, he published what he had learned in Liber Abaci (Book of Abacus or Book of Calculation), and thereby introduced Hindu-Arabic numerals to Europe.
Leonardo became an amicable guest of the Emperor Frederick II, who enjoyed mathematics and science. In 1240 the Republic of Pisa honored Leonardo, referred to as Leonardo Bigollo,[6] by granting him a salary.
In the 19th century, a statue of Fibonacci was constructed and erected in Pisa. Today it is located in the western gallery of the Camposanto, historical cemetery on the Piazza dei Miracoli.
In the Liber Abaci (1202), Fibonacci introduces the so-called modus Indorum (method of the Indians), today known as Arabic numerals (Sigler 2003; Grimm 1973). The book advocated numeration with the digits 0–9 and place value. The book showed the practical importance of the new numeral system, using lattice multiplication and Egyptian fractions, by applying it to commercial bookkeeping, conversion of weights and measures, the calculation of interest, money-changing, and other applications. The book was well received throughout educated Europe and had a profound impact on European thought.
Liber Abaci also posed, and solved, a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibonacci numbers. The number sequence was known to Indian mathematicians as early as the 6th century, but it was Fibonacci's Liber Abaci that introduced it to the West.

Golden Age

The term Golden Age (Χρυσόν Γένος) comes from Greek mythology and legend and refers to the first in a sequence of four or five (or more) Ages of Man, in which the Golden Age is first, followed in sequence, by the Silver, Bronze, and Iron Ages, and then the present, a period of decline. By extension "Golden Age" denotes a period of primordial peace, harmony, stability, and prosperity.

There are analogous concepts in the religious and philosophical traditions of the Central Asian subcontinent. For example, the Vedic or ancient Hindu culture saw history as cyclical, composed of yugas with alternating Dark and Golden Ages. The Kali yuga (Iron Age), Dwapara (Bronze Age), Treta yuga (Silver Age) and Satya yuga (Golden Age) correspond to the four Greek ages. Similar beliefs occur in the ancient Middle East and throughout the ancient world, as well.

In classical mythology the Golden Age was presided over by the deity Astraea, who was identified with Justice. She lived with men until the end of the Silver Age, but in the Brazen Age, when men became violent and greedy, fled to the stars, where she appears as the constellation Virgo, holding the scales of Justice, or Libra.[1]

European Pastoral literary and iconographic tradition often depicted nymphs and shepherds as living a life of rustic innocence and simplicity, untainted by the corruptions of civilization — a continuation of the Golden Age — set in an idealized Arcadia, a region of Greece that was the abode and center of worship of their tutelary deity, goat-footed Pan, who dwelt among them.[2] This idealized and nostalgic vision of the simple life, however, was sometimes contested and even ridiculed, both in antiquity and later on.

French Culture

There is, technically speaking, no architecture named French Architecture, although that has not always been true. Gothic Architecture's old name was French Architecture (or Opus Francigenum). The term “Gothic” appeared later as a stylistic insult and was widely adopted. Northern France is the home of some of the most important Gothic cathedrals and basilicas, the first of these being the Saint Denis Basilica (used as the royal necropolis); other important French Gothic cathedrals are Notre-Dame de Chartres and Notre-Dame d'Amiens. The kings were crowned in another important Gothic church: Notre-Dame de Reims. Aside from churches, Gothic Architecture had been used for many religious palaces, the most important one being the Palais des Papes in Avignon.
During the Middle Ages, fortified castles were built by feudal nobles to mark their powers against their rivals. When King Philip II took Rouen from King John, for example, he demolished the ducal castle to build a bigger one. Fortified cities were also common, unfortunately most French castles did not survive the passage of time. This is why Richard the Lionheart's Château-Gaillard was demolished, as well as the Château de Lusignan. Some important French castles that survived are Chinon, Château d'Angers, the massive Château de Vincennes and the so called Cathar castles.

Before the appearance of this architecture France had been using Romanesque architecture like most of Western Europe (with the exception of the Iberian Peninsula, which used Mooresque architecture). Some of the greatest examples of Romanesque churches in France are the Saint Sernin Basilica in Toulouse and the remains of the Cluniac Abbey (largely destroyed during the Revolution and the Napoleonic Wars).
Renaissance and several artists from Italy and Spain were invited to the French court; many residential palaces, Italian-inspired, were built, mainly in the Loire Valley. Such residential castles were the Château de Chambord, the Château de Chenonceau, or the Château d'Amboise. Following the renaissance and the end of the Middle Ages, Baroque Architecture replaced the gothic one. However, in France, baroque architecture found a greater success in the secular domain than in the religious one.[100] In the secular domain the Palace of Versailles has many baroque features. Jules Hardouin Mansart can be said to be the most influential French architect of the baroque style, with his very famous baroque dome of Les Invalides. Some of the most impressive provincial baroque architecture is found in places that were not yet French such as the Place Stanislas in Nancy. On the military architectural side Vauban designed some of the most efficient fortresses of Europe and became a very influential military architect.
After the Revolution the Republicans favoured Neoclassicism although neoclassicism was introduced in France prior to the revolution with such building as the Parisian Pantheon or the Capitole de Toulouse. Built during the French Empire the Arc de Triomphe and Sainte Marie-Madeleine represent this trend the best.

Under Napoleon III a new wave of urbanism and architecture was given birth. If some very extravagant buildings such as the neo-baroque Palais Garnier were built, the urban planning of the time was very organised and rigorous. For example Baron Haussmann rebuilt Paris. The architecture associated to this era is named Second Empire in the English speaking world, the term being taken from the Second French Empire. These times also saw a strong Gothic-Revival trend across Europe, in France the associated architect was Eugène Viollet-le-Duc. In the late 19th century Gustave Eiffel designed many bridges (like the Garabit viaduct) and remains one of the most influential bridge designer of his time, although he is best remembered for the Eiffel Tower.

In the 20th century the Swiss Architect Le Corbusier designed several buildings in France. More recently French architects have combined both modern and old architectural styles. The Louvre Pyramid is a good example of modern architecture added to an older building. Certainly the most difficult buildings to integrate within French cities are skyscrapers, as they are visible from afar. France's largest financial district is La Defense, where a significant number of skyscrapers are located. Other massive buildings that are a challenge to integrate into their environment are large bridges; a good example of the way this has been done is the Millau Viaduct. Some famous modern French architects include Jean Nouvel or Paul Andreu.

İstanbul: European Capital Of Culture

Istanbul (Turkish: İstanbul, see the historical names of Istanbul) is the largest city in Turkey and fourth largest city proper in the world with a population of 12.8 million, also making it the second largest metropolitan area in Europe by population, and the largest metropolitan city proper.[5] Istanbul is also a megacity, as well as the cultural, economic, and financial centre of Turkey. The city covers 39 districts of the Istanbul province.[8] It is located on the Bosphorus Strait and encompasses the natural harbour known as the Golden Horn, in the northwest of the country. It extends both on the European (Thrace) and on the Asian (Anatolia) sides of the Bosphorus, and is thereby the only metropolis in the world that is situated on two continents.

In its long history, Istanbul has served as the capital city of the Roman Empire (330–395), the Eastern Roman (Byzantine) Empire (395–1204 and 1261–1453), the Latin Empire (1204–1261), and the Ottoman Empire (1453–1922). The city was chosen as joint European Capital of Culture for 2010. Historic areas of Istanbul were added to the UNESCO World Heritage List in 1985.

Byzantium (Greek: Βυζάντιον, Byzántion) is the first known name of the city. Around 660 BC,[note 1] Greek settlers from the city-state of Megara founded a Doric colony on the present-day Istanbul, and named the new colony after their king, Byzas.[15] After Constantine I (Constantine the Great) made the city the new eastern capital of the Roman Empire in 330 AD, the city became widely known as Constantinopolis or Constantinople, which, as the Latinised form of "Κωνσταντινούπολις" (Kōnstantinoúpolis), means the "City of Constantine".[16] He also attempted to promote the name Nea Roma ("New Rome"), but this never caught on.[17] Constantinople remained the official name of the city throughout the Byzantine period, and the most common name used for it in the West until the establishment of the Republic of Turkey.

By the 19th century, the city had acquired a number of names used by either foreigners or Turks. Europeans often used Stamboul alongside Constantinople to refer to the whole of the city, but Turks used the former name only to describe the historic peninsula between the Golden Horn and the Sea of Marmara. Pera was used to describe the area between the Golden Horn and the Bosphorus, but Turks also used the name Beyoğlu, which is still in use today.[18] However, with the Turkish Postal Service Law of 28 March 1930, the Turkish authorities formally requested foreigners to adopt İstanbul, a name in existence since the 10th century,[19] as the sole name of the city within their own languages.[20]

There are many theories attempting to explain İstanbul's etymology. One widely accepted theory states that, İstanbul (Turkish pronunciation: [isˈtanbuɫ], colloquially [ɯsˈtambuɫ]) derives from the Medieval Greek phrase "εἰς τὴν Πόλιν" [is tin ˈpolin] or, in the Aegean dialect, "εἰς τὰν Πόλιν" [is tan ˈpolin] (Modern Greek "στην Πόλη" [stin ˈpoli]), which means "in the city" or "to the city".[16][19] In modern Turkish, the name is written "İstanbul", with a dotted İ, as the Turkish alphabet distinguishes between a dotted and dotless I. Also, while in English the stress is on the first syllable ("Is"), in Turkish it is on the second syllable ("tan"). Like Rome, Istanbul has been called "The City of Seven Hills" because the oldest part of the city is supposedly built on seven hills, each of which bears a historic mosque.
Recent construction of the Marmaray tunnel unearthed a Neolithic settlement underneath Yenikapı on Istanbul's historic peninsula. Dating back to the 7th millennium BC, before the Bosphorus was even formed, the discovery indicated that the peninsula was settled thousands of years earlier than previously thought.[22] Thracian tribes established two settlements—Lygos and Semistra—on the Sarayburnu, near where Topkapı Palace now stands, between the 13th and 11th centuries BC. On the Asian side, artifacts have been found in Fikirtepe (present-day Kadıköy) that date back to the Chalcolithic period.[23] The same location was the site of a Phoenician trading post at the beginning of the 1st millennium BC as well as the town of Chalcedon, which was established by Greek settlers from Megara in 685 BC.[13]

However, the history of Istanbul generally begins around 660 BC,[note 1] when the settlers from Megara, under the command of King Byzas, established Byzantion (Latinised as Byzantium) on the European side of the Bosphorus. By the end of the century, an acropolis was established at the former locations of Lygos and Semistra, on the Sarayburnu.[15] The city experienced a brief period under Persian rule at the turn of the 5th century BC, but the Greeks recaptured it during the Greco-Persian Wars.[24] Byzantium then continued as part of the Athenian League and its successor, the Second Athenian Empire, before ultimately gaining independence in 355 BC.[25] Long protected by the Roman Republic, Byzantium officially became a part of the Roman Empire in 73 AD.

Byzantium's decision to side with the usurper Pescennius Niger against Roman Emperor Severus of Antioch cost it dearly; by the time it surrendered at the end of 195, two years of siege had left the city devastated.[26] Still, five years later, Severus began to rebuild Byzantium, and the city regained—and, by some accounts, surpassed—its previous prosperity.

What is Travelling?

Travel is the movement of people between relatively distant geographical locations for any purpose and any duration, with or without any means of transport. Travel also includes relatively short[1] stays between successive movements. Movements between locations requiring only a few minutes are not considered as travel. As an activity, "travel" also covers all the activities performed during a travel (movement).

Travel may be local, regional, national (domestic) or international. In some countries, non-local internal travel may require an internal passport, while international travel typically requires a passport and visa.

Travel can be for recreational purposes, for tourism, to visit people, for business or for commuting, and may occur for numerous other reasons, such as to obtain health care, migration, fleeing war, etc. Travel may occur by human-powered transport such as walking or bicycling, or with vehicles, such as airplanes, private transport, public transport, automobiles and trains.

A round trip is a particular type of travel whereby a person moves from his/her usual residence to one or several locations and returns. A trip can also be part of a round trip.

Dont You Wanna Be Tourist?

"Tourist" redirects here. For other uses, see Tourist (disambiguation).

Tourism is travel for recreational, leisure or business purposes.The World Tourism Organization defines tourists as people who "travel to and stay in places outside their usual environment for more than twenty-four (24) hours and not more than one consecutive year for leisure, business,cheese and other purposes not related to the exercise of an activity remunerated from within the place visited".[1] Tourism has become a popular global leisure activity. In 2008, there were over 922 million international tourist arrivals, with a growth of 1.9% as compared to 2007. International tourism receipts grew to US$944 billion (euro 642 billion) in 2008, corresponding to an increase in real terms of 1.8%.[2]

As a result of the late-2000s recession, international travel demand suffered a strong slowdown beginning in June 2008, with growth in international tourism arrivals worldwide falling to 2% during the boreal summer months.[3] This negative trend intensified during 2009, exacerbated in some countries due to the outbreak of the H1N1 influenza virus, resulting in a worldwide decline of 4% in 2009 to 880 million international tourists arrivals, and an estimated 6% decline in international tourism receipts.[4]

Tourism is vital for many countries, such as Egypt, Greece, Lebanon, Spain and Thailand, and many island nations, such as The Bahamas, Fiji, Maldives and the Seychelles, due to the large intake of money for businesses with their goods and services and the opportunity for employment in the service industries associated with tourism. These service industries include transportation services, such as airlines, cruise ships and taxis, hospitality services, such as accommodations, including hotels and resorts, and entertainment venues, such as amusement parks, casinos, shopping malls, various music venues and the theatre.

Eiffel and Paris

Paris ([paʁi] ( listen) in French, pronounced /ˈpærɪs/ in English) is the capital and largest city of France. It is situated on the river Seine, in northern France, at the heart of the Île-de-France region (or Paris Region, French: Région parisienne). The city of Paris, within its administrative limits largely unchanged since 1860, has an estimated population of 2,203,817 (January 2006),[5] but the Paris aire urbaine (or metropolitan area) has a population of 11,769,433 (January 2006),[4] and is one of the most populated metropolitan areas in Europe.[6]

An important settlement for more than two millennia, Paris is today one of the world's leading business and cultural centres, and its influences in politics, education, entertainment, media, fashion, science, and the arts all contribute to its status as one of the world's major global cities.[7]

Paris and the Paris Region, with €552.7 billion (US$813.4 billion) in 2008, produces more than a quarter of the gross domestic product (GDP) of France.[8] According to 2007 estimates, the Paris urban agglomeration is Europe's biggest city economy[9] and the sixth largest in the world. The Paris Region hosts 38 of the Fortune Global 500 companies[10] in several business districts, notably La Défense, the largest purpose-built business district in Europe.[11] Paris also hosts many international organizations such as UNESCO, the Organisation for Economic Co-operation and Development (OECD), the International Chamber of Commerce (ICC) and the informal Paris Club. According to the latest survey from Economist Intelligence Unit in 2010, Paris is the world's most expensive city to live in.[12]

Paris is one of the most popular tourist destinations in the world. The Paris region receives 45 million tourists annually, 60% of whom are foreign visitors.[13] The city and region contain numerous iconic landmarks, world-famous institutions and popular parks.