Branches of Mathematics

Pure mathematics

• Algebra
• Calculus
• Geometry
• Topology
• Trignometry
• Combinatorics
• Logic
• Number theory

Applied mathematics

• Dynamical systems and differential equations
• Mathematical physics
• Computing
• Information theory and signal processing
• Probability and statistics
• Game theory
• Operations research

Related Topics

• Electromagnetic Spectrum
• Linear Equations
• Applied Physics
• Nano Technology
• Engineering Sciences
• Mathematical Medicine
• Fluid dynamics
• Computational Mathematics
• Gamma Ray Optics
• Onfrared Optics
• Relative Velocity
• Iciam
• Intelligent Imaging Neuroscience
• Biomedical Engineering
• Neuroscience Research
• Quantum Cosmology
• Brain Research

• Air
• Aircraft
• Alfven waves
• Angular velocity
• Artificial gravity
• Batchelor vortex
• Black hole
• Bubble ring
• Center (geometry)
• Charybdis
• Chord (aircraft)
• Column
• Condensation
• Contrail
• Crow Instability
• Curl (mathematics)
• Cyclonic separation
• Drag (physics)
• Dust devil
• Earth's atmosphere
• Fixed-wing aircraft
• Fluid
• Fluid dynamics
• Free surface
• George Batchelor
• Great Dark Spot
• Great Red Spot
• Gyre
• Helix
• Helmholtz's theorems
• Horseshoe vortex
• Hubble sequence
• Hurricane
• Hydrodynamics
• Ice stalactite
• Inverse-square law
• Ishimori equation
• Italy
• Japan
• Jet engine
• Jupiter
• Lift (force)
• Lift-induced drag
• Liquid
• Lofoten
• Maelstrom
• Mesocyclone
• Messina
• Milky Way
• MPEG
• Mythology
• Nankaido
• Naruto whirlpool
• Neptune
• Norway
• Polar vortex
• Portal Physics
• Propeller
• Quantum vortex
• Rankine vortex
• Reservoir (water)
• Rotation
• Sail
• Sink
• Sloop
• Smoke ring
• Spiral
• Spiral galaxy
• Squall line
• Strouhal number
• Sunspot
• Thrust
• Tide
• Toilet
• Tornado
• Tropical cyclone
• Turbulence
• Vector (geometry)
• Viktor Schauberger
• Vile Vortices
• Viscosity
• Vortex
• Vortex cooler
• Vortex engine
• Vortex ring
• Vortex shedding
• Vortex stretching
• Vortex tube
• Vortical
• Vorticity
• Wake turbulence
• Waterspout
• Whirlpool
• Whirlwind
• Wikipedia INCITE
• Wing
• Wingtip vortices
• Wormhole
• Γ
• 
  

• 
  Italy
  Italy ⁱ/ˈɪtəli/ (Italian: Italia [iˈtaːlja]), officially the Italian Republic or the Republic of Italy (Italian: Repubblica italiana), is a unitary parliamentary republic in south-central Europe. To the north, it borders France, Switzerland, Austria and Slovenia along the Alps. To the south, it consists of the entirety of the Italian Peninsula, Sicily, Sardinia–the two largest islands in the Mediterranean Sea–and many other smaller islands. The independent states of San Marino and the Vatican City are enclaves within Italy, while Campione d'Italia is an Italian exclave in Switzerland. The territory of Italy covers some 301,338 km² (116,347 sq mi) and is influenced by a temperate seasonal climate. With 60.6 million inhabitants, it is the fifth most populous country in Europe, and the 23rd most populous in the world.
  Rome, the capital of Italy, was for centuries a political and religious centre of Western civilisation as the capital of the Roman Empire and site of the Holy See. After the decline of the Roman Empire, Italy endured numerous invasions by foreign peoples, from Germanic tribes such as the Lombards and Ostrogoths, to the Byzantines and later, the Normans, among others. Centuries later, Italy became the birthplace of Maritime republics and the Renaissance, an immensely fruitful intellectual movement that would prove to be integral in shaping the subsequent course of European thought.
  
  wn.com/Italy
• 
  Japan
  Japan ⁱ/dʒəˈpæn/ (Japanese: 日本 Nihon or Nippon; formally 日本国  Nippon-koku or Nihon-koku, literally the State of Japan) is an island nation in East Asia. Located in the Pacific Ocean, it lies to the east of the Sea of Japan, China, North Korea, South Korea and Russia, stretching from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south. The characters that make up Japan's name mean "sun-origin", which is why Japan is sometimes referred to as the "Land of the Rising Sun".
  Japan is an archipelago of 6,852 islands. The four largest islands are Honshū, Hokkaidō, Kyūshū and Shikoku, together accounting for ninety-seven percent of Japan's land area. Japan has the world's tenth-largest population, with over 127 million people. The Greater Tokyo Area, which includes the de facto capital city of Tokyo and several surrounding prefectures, is the largest metropolitan area in the world, with over 30 million residents.
  Archaeological research indicates that people lived in Japan as early as the Upper Paleolithic period. The first written mention of Japan is in Chinese history texts from the 1st century AD. Influence from other nations followed by long periods of isolation has characterized Japan's history. In the late 19th and early 20th centuries, victory in the First Sino-Japanese War, the Russo-Japanese War and World War I allowed Japan to expand its empire during a period of increasing militarism. The Second Sino-Japanese War of 1937 expanded into part of World War II in 1941, which came to an end in 1945 following the atomic bombings of Hiroshima and Nagasaki. Since adopting its revised constitution in 1947, Japan has maintained a unitary constitutional monarchy with an emperor and an elected parliament called the Diet.
  
  wn.com/Japan
• 
  Maelstrom
  A maelstrom /ˈmeɪlstrɒm/ is a very powerful whirlpool; a large, swirling body of water. A free vortex, it has considerable downdraft. The power of tidal whirlpools tends to be exaggerated by laymen. There are virtually no stories of large ships ever being sucked into a maelstrom, although smaller craft are in danger and tsunami generated maelstroms may even threaten larger crafts. Tales like those by Paul the Deacon, Jules Verne and Edgar Allan Poe are entirely fictional.
  One of the earliest uses of the Scandinavian word (malström or malstrøm) was by Edgar Allan Poe in his story "A Descent into the Maelström" (1841). In turn, the Nordic word is derived from the Dutch maelstrom, modern spelling maalstroom, from malen (to grind) and stroom (stream), to form the meaning grinding current or literally "mill-stream", in the sense of milling (grinding) grain.
  The original Maelstrom (described by Poe and others) is the Moskstraumen, a powerful tidal current in the Lofoten Islands off the Norwegian coast. The Maelstrom is formed by the conjunction of the strong currents that cross the Straits (Moskenstraumen) between the islands and the great amplitude of the tides.
  
  wn.com/Maelstrom
• 
  Messina
  Messina (Italian pronunciation: [mesˈsiːna] ( listen), Sicilian: Missina; Latin: Messana) is the third largest city on the island of Sicily, Italy and the capital of the province of Messina. It has a population of about 250,000 inhabitants in the city proper and about 650,000 in the province. It is located near the northeast corner of Sicily, at the Strait of Messina, just opposite Villa San Giovanni on the mainland.
  The main economical resources of the city are: the port (commercial and military), provided with several shipyards; agriculture (including wine production and the cultivation of lemons, oranges, mandarin oranges and olives); tourism.
  The city has been a Roman Catholic Archdiocese and Archimandrite seat since 1548 and is home to a locally important international fair.
  Founded by Greek colonists in the 8th century BC, Messina was originally called Zancle, from the Greek: ζάγκλον meaning "scythe" because of the shape of its natural harbour (though a legend attributes the name to King Zanclus). A comune of its province, located at the southern entrance of the Strait of Messina, is to this day called 'Scaletta Zanclea'. In the early 5th century BC, Anaxilas of Rhegium renamed it Messene in honour of the Greek city Messene (Greek: Μεσσήνη). (See also List of traditional Greek place names.) The city was sacked in 397 BC by the Carthaginians and then reconquered by Dionysius I of Syracuse.
  
  wn.com/Messina
• 
  Norway
  Norway ⁱ/ˈnɔrweɪ/ (Norwegian:  Norge (Bokmål) or  Noreg (Nynorsk)), officially the Kingdom of Norway, is a Nordic unitary constitutional monarchy whose territory comprises the western portion of the Scandinavian Peninsula, Jan Mayen, the Arctic archipelago of Svalbard and the subantarctic Bouvet Island. Norway has a total area of 385,252 square kilometres (148,747 sq mi) and a population of about 5 million. It is the second least densely populated country in Europe. The majority of the country shares a border to the east with Sweden; its northernmost region is bordered by Finland to the south and Russia to the east; in its south Norway borders the Skagerrak Strait across from Denmark. The capital city of Norway is Oslo. Norway's extensive coastline, facing the North Atlantic Ocean and the Barents Sea, is home to its famous fjords.
  
  wn.com/Norway
• 
  Wing
  A wing is an appendage with a surface that produces lift for flight or propulsion through the atmosphere, or through another gaseous or liquid fluid. A wing is an airfoil, which has a streamlined cross-sectional shape producing a useful lift to drag ratio.
  The word "wing" from the Old Norse vængr for many centuries referred mainly to the foremost limbs of birds (in addition to the architectural aisle.) But in recent centuries the word's meaning has extended to include lift producing appendages of insects, bats, pterosaurs, boomerangs, some sail boats and aircraft.
  "Wing" can also mean an inverted airfoil on a race car that generates a downward force to increase traction.
  Various species of penguins and other flighted or flightless water birds such as auks, cormorants, guillemots, shearwaters, eider and scoter ducks and diving petrels are avid swimmers, and use their wings to propel through water.
  A wing's aerodynamic quality is expressed as its lift-to-drag ratio. The lift a wing generates at a given speed and angle of attack can be one to two orders of magnitude greater than the total drag on the wing. A high lift-to-drag ratio requires a significantly smaller thrust to propel the wings through the air at sufficient lift.
  
  wn.com/Wing

• George Batchelor
  George Keith Batchelor FRS (8 March 1920 – 30 March 2000) was an Australian applied mathematician and fluid dynamicist. He was for many years the Professor of Applied Mathematics in the University of Cambridge, and was founding head of the Department of Applied Mathematics and Theoretical Physics (DAMTP). In 1956 he founded the influential Journal of Fluid Mechanics which he edited for some forty years. Prior to Cambridge he studied in Melbourne High School.
  As an applied mathematician (and for some years at Cambridge a co-worker with Sir Geoffrey Taylor in the field of turbulent flow), he was a keen advocate of the need for physical understanding and sound experimental basis.
  His An Introduction to Fluid Dynamics (CUP, 1967) is still considered a classic of the subject, and has been re-issued in the Cambridge Mathematical Library series, following strong current demand. Unusual for an 'elementary' textbook of that era, it presented a treatment in which the properties of a real viscous fluid were fully emphasised. He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 1959.
  
  wn.com/George_Batchelor
• Viktor Schauberger
  Viktor Schauberger (30 June 1885 – 25 September 1958) was an Austrian forester/forest warden, naturalist, philosopher, inventor and Biomimicry experimenter.
  The inventor of what he called "implosion technology", Schauberger developed his own theories based on fluidic vortices and movement in nature. He built actuators for airplanes, ships, silent turbines, self-cleaning pipes and equipment for cleaning and so-called "refinement" of water to create spring water, which he used as a remedy.
  Schauberger's theories aren't accepted in the scientific community. However, Schauberger's work remains an inspiration to many people in the Green movement for his own observations of nature.
  Viktor Schauberger was born in Holzschlag, Austria, to a long line of Austrian foresters that could be traced back to early Germanic tribes, with views on and concepts of nature entirely different than the ones known to us currently. Creek and river flow fascinated him during his youth. He went on to develop a basic theory that contains a twofold movement principle for such phenomena.
  
  wn.com/Viktor_Schauberger

• Rockdrill I
• Canto Spoleto
• Spiral
• Fatalism
• Iron Cage
• Persistence
• Asylum
• Construction
• The Fall
• Rockdrill II
• Epilogue: Canto Zero

• Entering the Vortex
• Close to the Edge
• The Axis
• Field of Force
• Roads
• Phanopoeia
• Imagism
• The Process
• Dark Memories
• Isolated in Time

• Room of a Thousand Deaths
• Creation
• Free Will
• The Flow
• Lack of Knowledge
• Le Mal
• Hate in Movement
• Guerre Sans Fin
• Mass Killers
• Don't Feed the Beast
• Within the Mind

• Lies and Illusions
• Chaos Will Bring a New World
• Imminence of Death
• As One Man Dies
• No Pain No Gain
• Our Last Horizon
• Does God Play Dice?
• Origines
• Relativity
• Warrior
• Remords
• Struggling Minds

• Open the Gate
• Soul Killer
• Bastards
• Horrible Dolls
• Growing Power
• Massgrave
• The Beauty & the Teeth
• Glory Gone
• Get Out
• Gotta Get Away
• With Witches' Help
• Rollin' to the War
• Metal Bats
• The Curse
• Alienation

• Haroun' Thasckouack
• Ahsquoumboum
• Délicieuse créature
• Abominable créature
• C'est cool, Raoul
• Prolégo 1

• Gotta Get Away
• With Witches Help
• Rollin' to the War
• Metal Bats
• The Curse
• Alienation