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

• Abstract algebra
• Academic Press
• Al-Mahani
• Alfonso
• Algebra
• Algebraic curve
• Algebraic geometry
• Algebraic surface
• Algebraic topology
• Algebraic variety
• Analytic geometry
• Ancient Egypt
• Ancient Greece
• Ancient Greek
• Applied mathematics
• Arab
• Archimedes
• Archimedes spiral
• Area
• Area of a disk
• Areas of mathematics
• Arithmetic
• Arithmetic geometry
• Astronomy
• Axiom
• Axiomatic method
• Axiomatic system
• Bernhard Riemann
• Bolyai
• Book of Optics
• Brane theory
• Calabi–Yau manifold
• Calculus
• Carl Benjamin Boyer
• Carl Friedrich Gauss
• Cartesian geometry
• Cartesian plane
• Category Geometers
• Category theory
• Category Topologists
• Celestial sphere
• Chou Pei Suan Ching
• Circle
• Circumference
• Classical mechanics
• Co-ordinates
• Cohomology theory
• Collineation
• Combinatorics
• Compass (drafting)
• Complex analysis
• Complex geometry
• Computer graphics
• Cone (geometry)
• Conic section
• Construction
• Control theory
• Convex geometry
• Coordinate
• Coordinate system
• Coordinates
• Coxeter group
• Coxeter plane
• Crystallography
• Cubic equation
• Curvature
• Curve
• Cylinder (geometry)
• David Hilbert
• Desargues' theorem
• Descartes
• Dimension theory
• Discrete geometry
• Discrete group
• Discrete mathematics
• Dover Publications
• Dynamical system
• E8 (mathematics)
• Edmund F. Robertson
• Edwin Abbott Abbott
• Egyptian mathematics
• Einstein
• Elementary algebra
• Equation
• Erlangen program
• Erlangen Programme
• Euclid
• Euclid's Elements
• Euclidean geometry
• Euclidean space
• Eudoxus of Cnidus
• Euler
• Felix Klein
• Finite field
• Flatland
• Fractal geometry
• Frustum
• Game theory
• Gauss
• General relativity
• General topology
• Geometric algebra
• Geometric topology
• Geometry
• Gersonides
• Girard Desargues
• Graph theory
• Greek mathematics
• Gresham College
• Group (mathematics)
• Gröbner basis
• H. S. M. Coxeter
• Henri Poincaré
• Higher dimension
• Hilbert space
• History of geometry
• Hodge conjecture
• Homeomorphism
• Hyperbolic geometry
• Hyperbolic knot
• Ibn al-Haytham
• Immanuel Kant
• Information theory
• Integral calculus
• Invariance of domain
• Jean-Pierre Serre
• Jeremy Gray
• John Wallis
• János Bolyai
• Kepler conjecture
• Khan Academy
• Latin
• Length
• Leonhard Euler
• Liberal arts
• Lie group
• Lie theory
• Line (geometry)
• Linear algebra
• List of geometers
• Lobachevsky
• London
• M. C. Escher
• Manifold
• Mathematical logic
• Mathematical physics
• Mathematical rigor
• Mathematics
• Menelaus theorem
• Mesopotamia
• Method of exhaustion
• Middle Ages
• Millennia
• Moduli space
• Morse theory
• Multilinear algebra
• Nasir al-Din al-Tusi
• Natural number
• Nubia
• Number theory
• Numerical analysis
• Omar Khayyám
• Otto E. Neugebauer
• Oxyrhynchus papyrus
• Pappus configuration
• Parabola
• Parallel postulate
• Physics
• Pi
• Pierre de Fermat
• Plane (mathematics)
• Plane curve
• Planet
• Platonic solid
• Playfair's axiom
• Plimpton 322
• Polygon
• Portal Geometry
• Portal Mathematics
• Postulate
• Probability theory
• Projective geometry
• Proof (mathematics)
• Pseudo-Riemannian
• Pure mathematics
• Pyramid (geometry)
• Pythagorean theorem
• Pythagoreans
• Quadrilateral
• Quadrivium
• Ratio
• Regular polygon
• René Descartes
• Riemann
• Riemann surface
• Riemannian geometry
• Riemannian metric
• Routledge
• Ruler
• Series (mathematics)
• Set theory
• Shulba Sutras
• Singularity theory
• Smooth manifold
• Sophus Lie
• Space
• Space-time
• Sphere
• Sphere packing
• Star
• String theory
• Surveying
• Symmetry
• Symmetry group
• Synthetic a priori
• Synthetic geometry
• Syracuse, Italy
• Thales
• Thales of Miletus
• Thales' Theorem
• The Bible
• Theorem
• Thābit ibn Qurra
• Topological manifold
• Topology
• Trefoil knot
• Triangle
• Trigonometry
• Universe
• Vector space
• Volume
• Westerner
• Why 10 dimensions?
• Witelo
• 
  

• 
  Gresham College
  Coordinates: 51°31′04″N 0°06′35″W / 51.5177°N 0.1098°W / 51.5177; -0.1098
  Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in central London, England. It was founded in 1597 under the will of Sir Thomas Gresham and today it hosts over 140 free public lectures every year within the City of London.
  Sir Thomas Gresham, founder of the Royal Exchange, left his estate jointly to the City of London Corporation and to the Mercers' Company, which today support the college through the Joint Grand Gresham Committee under the presidency of the Lord Mayor of London. Gresham's will provided for the setting up of the College—in Gresham's mansion in Bishopsgate, on the site now occupied by Tower 42, the former NatWest Tower—and endowed it with the rental income from shops sited around the Royal Exchange, which Gresham had established.
  The early success of the College led to the incorporation of the Royal Society in 1663, which pursued its activities at the College in Bishopsgate before moving to its own premises in Crane Court in 1710. The College remained in Gresham's mansion in Bishopsgate until 1768, and moved about London thereafter until the construction in 1842 of its own buildings in Gresham Street EC2. Gresham College did not become part of the University of London on the founding of the University in the 19th century, although a close association between the College and the University persisted for many years. Since 1991, the College has operated at Barnard’s Inn Hall, Holborn EC1.
  
  wn.com/Gresham_College
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  London
  London ⁱ/ˈlʌndən/ is the capital city of England and the United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its founding by the Romans, who named it Londinium. London's ancient core, the City of London, largely retains its square-mile mediaeval boundaries. Since at least the 19th century, the name London has also referred to the metropolis developed around this core. The bulk of this conurbation forms the London region and the Greater London administrative area, governed by the elected Mayor of London and the London Assembly.
  London is a leading global city, with strengths in the arts, commerce, education, entertainment, fashion, finance, healthcare, media, professional services, research and development, tourism and transport all contributing to its prominence. It is the world's leading financial centre alongside New York City and has the fifth-largest city GDP in the world (and the largest in Europe). London has been described as a world cultural capital. It was the world's most visited city during 2011 and London Heathrow is the world's busiest airport by number of international passengers. London's 43 universities form the largest concentration of higher education in Europe. In 2012 London will become the first city to host the modern Summer Olympic Games three times.
  
  wn.com/London
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  Syracuse, Italy
  Syracuse (Italian: Siracusa pronounced [siraˈkuːza] ( listen); Sicilian: Sarausa; Latin: Syracusæ; Ancient Greek: Συρακοῦσαι Syrakoúsai) is a historic city in Sicily, the capital of the province of Syracuse. The city is notable for its rich Greek history, culture, amphitheatres, architecture, and as the birthplace of the preeminent mathematician and engineer Archimedes. This 2,700-year-old city played a key role in ancient times, when it was one of the major powers of the Mediterranean world. Syracuse is located in the southeast corner of the island of Sicily, right by the Gulf of Syracuse next to the Ionian Sea.
  The city was founded by Ancient Greek Corinthians and became a very powerful city-state. Syracuse was allied with Sparta and Corinth, exerting influence over the entire Magna Grecia area of which it was the most important city. Once described by Cicero as "the greatest Greek city and the most beautiful of them all", it later became part of the Roman Republic and Byzantine Empire. After this Palermo overtook it in importance, as the capital of the Kingdom of Sicily. Eventually the kingdom would be united with the Kingdom of Naples to form the Two Sicilies until the Italian unification of 1860.
  
  wn.com/Syracuse,_Italy

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  Arab
  Arab people, also known as Arabs (Arabic: عرب‎, ʿarab), are a panethnicity primarily living in the Arab world, which is located in Western Asia and North Africa. They are identified as such on one or more of genealogical, linguistic, or cultural grounds, with tribal affiliations, and intra-tribal relationships playing an important part of Arab identity.
  The word "Arab" has had several different, but overlapping, meanings over the centuries (and sometimes even today). In addition to including all Arabized people of the world (with language tending to be the acid test), it has also at times been used exclusively for bedouin (Arab nomads [although a related word, "`a-RAB," with the Arabic letter "alif" in the second syllable, once was sometimes used when this specific meaning was intended] and their now almost entirely settled descendants). It is sometimes used that way colloquially even today in some places. Townspeople once were sometimes called "sons of the Arabs." As in the case of other ethnicities or nations, people identify themselves (or are identified by others) as "Arabs" to varying degrees. This may not be one's primary identity (it tends to compete with country, religion, sect, etc.), and whether it is emphasized may depend upon one's audience.
  
  wn.com/Arab
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  Archimedes
  Archimedes of Syracuse (Ancient Greek: Ἀρχιμήδης; c. 287 BC – c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water and setting ships on fire using an array of mirrors.
  Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of pi. He also defined the spiral bearing his name, formulae for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers.
  
  wn.com/Archimedes
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  Bernhard Riemann
  Georg Friedrich Bernhard Riemann [ˈʁiːman] ( listen) (September 17, 1826 – July 20, 1866) was an influential German mathematician who made lasting contributions to analysis, number theory and differential geometry, some of them enabling the later development of general relativity.
  Riemann was born in Breselenz, a village near Dannenberg in the Kingdom of Hanover in what is the Federal Republic of Germany today. His father, Friedrich Bernhard Riemann, was a poor Lutheran pastor in Breselenz who fought in the Napoleonic Wars. His mother, Charlotte Ebell, died before her children had reached adulthood. Riemann was the second of six children, shy, and suffered from numerous nervous breakdowns. Riemann exhibited exceptional mathematical skills, such as fantastic calculation abilities, from an early age but suffered from timidity and a fear of speaking in public.
  During 1840, Riemann went to Hanover to live with his grandmother and attend lyceum (middle school). After the death of his grandmother in 1842, he attended high school at the Johanneum Lüneburg. In high school, Riemann studied the Bible intensively, but he was often distracted by mathematics. His teachers were amazed by his adept ability to solve complicated mathematical operations, in which he often outstripped his instructor's knowledge. In 1846, at the age of 19, he started studying philology and theology in order to become a priest and help with his family's finances.
  
  wn.com/Bernhard_Riemann
• Carl Benjamin Boyer
  Carl Benjamin Boyer (November 3, 1906 – April 26, 1976) was a historian of sciences, and especially mathematics. David Foster Wallace called him the "Gibbon of math history". He wrote the books History of Analytic Geometry, The History of the Calculus and Its Conceptual Development, A History of Mathematics, and The Rainbow: From Myth to Mathematics. He served as book-review editor of Scripta Mathematica.
  Boyer was valedictorian of his high school class. He received an A.B. from Columbia College in 1928 and an M.A. in 1929. He received his Ph.D. in Mathematics from Columbia University in 1939.
  He was a full professor of Mathematics at Brooklyn College from 1952 until his death, although he had begun tutoring and teaching at Brooklyn College in 1928.
  Boyer was instrumental as an inspiration to the founding of The Metropolitan New York Section of the History of Science Society.
  He was a 1954 John Simon Guggenheim Memorial Foundation Fellow in History of Science & Technology.
  He died of a heart attack in New York in 1976.
  
  wn.com/Carl_Benjamin_Boyer
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  Carl Friedrich Gauss
  Johann Carl Friedrich Gauss ( /ˈɡaʊs/; German: Gauß  listen (help·info), Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.
  Sometimes referred to as the Princeps mathematicorum (Latin, "the Prince of Mathematicians" or "the foremost of mathematicians") and "greatest mathematician since antiquity", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians. He referred to mathematics as "the queen of sciences".
  Carl Friedrich Gauss was born on 30 April 1777 in Braunschweig, in the duchy of Braunschweig-Wolfenbüttel, now part of Lower Saxony, Germany, as the son of poor working-class parents. Indeed, his mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension, which itself occurs 40 days after Easter. Gauss would later solve this puzzle for his birthdate in the context of finding the date of Easter, deriving methods to compute the date in both past and future years. He was christened and confirmed in a church near the school he attended as a child.
  
  wn.com/Carl_Friedrich_Gauss
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  David Hilbert
  David Hilbert, FRS (German pronunciation: [ˈdaːvɪt ˈhɪlbɐt]; January 23, 1862 – February 14, 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
  Hilbert adopted and warmly defended Georg Cantor's set theory and transfinite numbers. A famous example of his leadership in mathematics is his 1900 presentation of a collection of problems that set the course for much of the mathematical research of the 20th century.
  Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.
  
  wn.com/David_Hilbert
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  Descartes
  René Descartes (French pronunciation: [ʁəne dekaʁt]; Latinized form: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the 'Father of Modern Philosophy', and much subsequent Western philosophy is a response to his writings, which are studied closely to this day. In particular, his Meditations on First Philosophy continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system — allowing algebraic equations to be expressed as geometric shapes in a two-dimensional coordinate system — was named after him. He is credited as the father of analytical geometry, the bridge between algebra and geometry, crucial to the discovery of infinitesimal calculus and analysis. Descartes was also one of the key figures in the Scientific Revolution and has been described as an example of genius.
  
  wn.com/Descartes
• Edmund F. Robertson
  Edmund Frederick Robertson FRSE B.Sc M.Sc Ph.D., born on 1 June 1943, St Andrews, Scotland, is a Professor emeritus of pure mathematics at the University of St Andrews.
  He is one of the creators of the noted MacTutor History of Mathematics Archive along with John J. O'Connor. He has written over one hundred research articles, mainly in the theory of groups and semigroups. He is the author or co-author of seventeen textbooks.
  In 1998 he was elected a fellow of the Royal Society of Edinburgh.
  He lives at home with his wife Helena, and his two sons Colin and David.
  
  
  
  wn.com/Edmund_F._Robertson
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  Edwin Abbott Abbott
  Edwin Abbott Abbott (20 December 1838 – 12 October 1926),English schoolmaster and theologian, is best known as the author of the satirical novella Flatland (1884).
  Edwin Abbott Abbott was the eldest son of Edwin Abbott (1808–1882), headmaster of the Philological School, Marylebone, and his wife, Jane Abbott (1806–1882). His parents were first cousins.
  He was educated at the City of London School and at St John's College, Cambridge, where he took the highest honors in classics, mathematics and theology, and became a fellow of his college. In particular, he was 1st Smith's prizeman in 1861. In 1862 he took orders. After holding masterships at King Edward's School, Birmingham, he succeeded G. F. Mortimer as headmaster of the City of London School in 1865 at the early age of twenty-six. Here he oversaw the education of future Prime Minister H. H. Asquith. He was Hulsean lecturer in 1876.
  He retired in 1889, and devoted himself to literary and theological pursuits. Dr. Abbott's liberal inclinations in theology were prominent both in his educational views and in his books. His Shakespearian Grammar (1870) is a permanent contribution to English philology. In 1885 he published a life of Francis Bacon. His theological writings include three anonymously published religious romances - Philochristus (1891), where he tried to raise interest in Gospels reading, Onesimus (1882), and Silanus the Christian (1908).
  
  wn.com/Edwin_Abbott_Abbott
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  Euclid
  Euclid ( /ˈjuːklɪd/ EWK-lid; Ancient Greek: Εὐκλείδης Eukleidēs), fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor.
  "Euclid" is the anglicized version of the Greek name Εὐκλείδης, meaning "Good Glory".
  Little is known about Euclid's life, as there are only a handful of references to him. The date and place of Euclid's birth and the date and circumstances of his death are unknown, and only roughly estimated in proximity to contemporary figures mentioned in references. No likeness or description of Euclid's physical appearance made during his lifetime survived antiquity. Therefore, Euclid's depiction in works of art is the product of the artist's imagination.
  
  wn.com/Euclid
• Eudoxus of Cnidus
  Eudoxus of Cnidus (410 or 408 BC – 355 or 347 BC) was a Greek astronomer, mathematician, scholar and student of Plato. Since all his own works are lost, knowledge of him is obtained from secondary sources, such as Aratus's poem on astronomy. Theodosius of Bithynia's Sphaerics may be based on a work of Eudoxus.
  His name Eudoxus means "honored" or "of good repute" (in Greek Εὔδοξος, from eu "good" and doxa "opinion, belief, fame"). It is analogous to the Latin name Benedictus.
  Eudoxus's father Aeschines of Cnidus loved to watch stars at night. Eudoxus first travelled to Tarentum to study with Archytas, from whom he learned mathematics. While in Italy, Eudoxus visited Sicily, where he studied medicine with Philiston.
  Around 387 BC, at the age of 23, he traveled with the physician Theomedon, who according to Diogenes Laërtius some believed was his lover, to Athens to study with the followers of Socrates. He eventually became the pupil of Plato, with whom he studied for several months, but due to a disagreement they had a falling out. Eudoxus was quite poor and could only afford an apartment at the Piraeus. To attend Plato's lectures, he walked the seven miles (11 km) each direction, each day. Due to his poverty, his friends raised funds sufficient to send him to Heliopolis, Egypt to pursue his study of astronomy and mathematics. He lived there for 16 months. From Egypt, he then traveled north to Cyzicus, located on the south shore of the Sea of Marmara, the Propontis. He traveled south to the court of Mausolus. During his travels he gathered many students of his own.
  
  wn.com/Eudoxus_of_Cnidus
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  Euler
  Leonhard Euler (German pronunciation: [ˈɔʏlɐ], ( Swiss German pronunciation (help·info)) ( Standard German pronunciation (help·info)) English approximation, "Oiler"; 15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy.
  Euler spent most of his adult life in St. Petersburg, Russia, and in Berlin, Prussia. He is considered to be the preeminent mathematician of the 18th century, and one of the greatest of all time. He is also one of the most prolific mathematicians ever; his collected works fill 60–80 quarto volumes. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."
  
  wn.com/Euler
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  Felix Klein
  Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician, known for his work in group theory, complex analysis, non-Euclidean geometry, and on the connections between geometry and group theory. His 1872 Erlangen Program, classifying geometries by their underlying symmetry groups, was a hugely influential synthesis of much of the mathematics of the day.
  Klein was born in Düsseldorf, to Prussian parents; his father was a Prussian government official's secretary stationed in the Rhine Province. He attended the Gymnasium in Düsseldorf, then studied mathematics and physics at the University of Bonn, 1865–1866, intending to become a physicist. At that time, Julius Plücker held Bonn's chair of mathematics and experimental physics, but by the time Klein became his assistant, in 1866, Plücker's interest was geometry. Klein received his doctorate, supervised by Plücker, from the University of Bonn in 1868.
  Plücker died in 1868, leaving his book on the foundations of line geometry incomplete. Klein was the obvious person to complete the second part of Plücker's Neue Geometrie des Raumes, and thus became acquainted with Alfred Clebsch, who had moved to Göttingen in 1868. Klein visited Clebsch the following year, along with visits to Berlin and Paris. In July 1870, at the outbreak of the Franco-Prussian War, he was in Paris and had to leave the country. For a short time, he served as a medical orderly in the Prussian army before being appointed lecturer at Göttingen in early 1871.
  
  wn.com/Felix_Klein
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  Gauss
  Johann Carl Friedrich Gauss ( /ˈɡaʊs/; German: Gauß  listen (help·info), Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.
  Sometimes referred to as the Princeps mathematicorum (Latin, "the Prince of Mathematicians" or "the foremost of mathematicians") and "greatest mathematician since antiquity", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians. He referred to mathematics as "the queen of sciences".
  Carl Friedrich Gauss was born on 30 April 1777 in Braunschweig, in the duchy of Braunschweig-Wolfenbüttel, now part of Lower Saxony, Germany, as the son of poor working-class parents. Indeed, his mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension, which itself occurs 40 days after Easter. Gauss would later solve this puzzle for his birthdate in the context of finding the date of Easter, deriving methods to compute the date in both past and future years. He was christened and confirmed in a church near the school he attended as a child.
  
  wn.com/Gauss
• Gersonides
  Levi ben Gershon, better known by his Latinised name as Gersonides or the abbreviation of first letters as RaLBaG (1288–1344), philosopher, Talmudist, mathematician, astronomer/astrologer. He was born at Bagnols in Languedoc, France. According to Abraham Zacuto and others, he was the son of Gerson ben Solomon Catalan.
  As in the case of the other medieval Jewish philosophers little is known of his life. His family had been distinguished for piety and exegetical skill in Talmud, but though he was known in the Jewish community by commentaries on certain books of the Bible, he never seems to have accepted any rabbinical post. It has been suggested that the uniqueness of his opinions may have put obstacles in the way of his preferment. He is known to have been at Avignon and Orange during his life, and is believed to have died in 1344, though Zacuto asserts that he died at Perpignan in 1370.
  Part of his writings consist of commentaries on the portions of Aristotle then known, or rather of commentaries on the commentaries of Averroes. Some of these are printed in the early Latin editions of Aristotle’s works. His most important treatise, that by which he has a place in the history of philosophy, is entitled Sefer Milhamot Ha-Shem, ("The Wars of the Lord"), and occupied twelve years in composition (1317–1329). A portion of it, containing an elaborate survey of astronomy as known to the Arabs, was translated into Latin in 1342 at the request of Pope Clement VI.
  
  wn.com/Gersonides
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  Girard Desargues
  Girard Desargues (February 21, 1591–October 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry. Desargues' theorem, the Desargues graph, and the crater Desargues on the Moon are named in his honour.
  Born in Lyon, Desargues came from a family devoted to service to the French crown. His father was a royal notary, an investigating commissioner of the Seneschal's court in Lyon (1574), the collector of the tithes on ecclesiastical revenues for the city of Lyon (1583) and for the diocese of Lyon.
  Girard Desargues worked as an architect from 1645. Prior to that, he had worked as a tutor and may have served as an engineer and technical consultant in the entourage of Richelieu.
  As an architect, Desargues planned several private and public buildings in Paris and Lyon. As an engineer, he designed a system for raising water that he installed near Paris. It was based on the use of the at the time unrecognized principle of the epicycloidal wheel.
  His work was rediscovered and republished in 1864. His works were subsequently collected in L'oeuvre mathématique de Desargues (ed. by René Taton; Paris, 1951). The 1864 version of his work is shortly to be republished (2011) by Cambridge University Press as part of the Cambridge Library Collection.
  
  wn.com/Girard_Desargues
• H. S. M. Coxeter
  Harold Scott MacDonald "Donald" Coxeter, CC (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer. Coxeter is regarded as one of the great geometers of the 20th century. He was born in London but spent most of his life in Canada.
  In his youth, Coxeter composed music and was an accomplished pianist at the age of 10. He felt that mathematics and music were intimately related, outlining his ideas in a 1962 article on "Mathematics and Music" in the Canadian Music Journal.
  He worked for 60 years at the University of Toronto and published twelve books. He was most noted for his work on regular polytopes and higher-dimensional geometries. He was a champion of the classical approach to geometry, in a period when the tendency was to approach geometry more and more via algebra.
  Coxeter went up to Trinity College, Cambridge in 1926 to read mathematics. There he earned his BA (as Senior Wrangler) in 1928, and his doctorate in 1931. In 1932 he went to Princeton University for a year as a Rockefeller Fellow, where he worked with Hermann Weyl, Oswald Veblen, and Solomon Lefschetz. Returning to Trinity for a year, he attended Ludwig Wittgenstein's seminars on the philosophy of mathematics. In 1934 he spent a further year at Princeton as a Procter Fellow.
  
  wn.com/H._S._M._Coxeter
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  Henri Poincaré
  Jules Henri Poincaré (29 April 1854 – 17 July 1912) (French pronunciation: [ˈʒyl ɑ̃ˈʁi pwɛ̃nkaˈʁe]) was a French mathematician, theoretical physicist, engineer, and a philosopher of science. He is often described as a polymath, and in mathematics as The Last Universalist, since he excelled in all fields of the discipline as it existed during his lifetime.
  As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics. He was responsible for formulating the Poincaré conjecture, which was one of the most famous unsolved problems in mathematics until it was solved in 2002–2003. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is also considered to be one of the founders of the field of topology.
  Poincaré made clear importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré discovered the remaining relativistic velocity transformations and recorded them in a letter to Dutch physicist Hendrik Lorentz (1853–1928) in 1905. Thus he obtained perfect invariance of all of Maxwell's equations, an important step in the formulation of the theory of special relativity.
  
  wn.com/Henri_Poincaré
• 
  Ibn al-Haytham
  Abū ʿAlī al-Ḥasan ibn al-Ḥasan ibn al-Haytham (Arabic: أبو علي، الحسن بن الحسن بن الهيثم, Latinized: Alhacen or (deprecated)Alhazen) (965 in Basra – c. 1040 in Cairo) was a Muslimscientist and polymath described in various sources as either Arab or Persian. Alhazen made significant contributions to the principles of optics, as well as to physics, astronomy, mathematics, ophthalmology, philosophy, visual perception, and to the scientific method. He also wrote insightful commentaries on works by Aristotle, Ptolemy, and the Greek mathematician Euclid.
  He is frequently referred to as Ibn al-Haytham, and sometimes as al-Basri (Arabic: البصري), after his birthplace in the city of Basra. He was also nicknamed Ptolemaeus Secundus ("Ptolemy the Second") or simply "The Physicist" in medieval Europe.
  Born circa 965, in Basra, present-day Iraq, he lived mainly in Cairo, Egypt, dying there at age 74. Over-confident about practical application of his mathematical knowledge, he assumed that he could regulate the floods of the Nile. After being ordered by Al-Hakim bi-Amr Allah, the sixth ruler of the Fatimid caliphate, to carry out this operation, he quickly perceived the impossibility of what he was attempting to do, and retired from engineering. Fearing for his life, he feigned madness and was placed under house arrest, during and after which he devoted himself to his scientific work until his death.
  
  wn.com/Ibn_al-Haytham
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  Immanuel Kant
  Immanuel Kant (German pronunciation: [ɪˈmaːnu̯eːl ˈkant]; 22 April 1724 – 12 February 1804) was a German philosopher from Königsberg (today Kaliningrad of Russia), who researched, lectured, and wrote on philosophy and anthropology during the Enlightenment at the end of the 18th century. At the time, there were major successes and advances in the sciences (for example, Isaac Newton, Carl Friedrich Gauss, and Robert Boyle) applying reason and logic.
  Kant’s major work, the Critique of Pure Reason (Kritik der reinen Vernunft, 1781), aimed to unite reason with experience to move beyond what he took to be failures of traditional philosophy and metaphysics. He hoped to end an age of speculation where objects outside experience were used to support what he saw as futile theories, while opposing the skepticism of thinkers such as Descartes, Berkeley and Hume.
  He stated:
  Kant proposed a ‘Copernican Revolution’ in reverse, saying that:
  Kant published other important works on ethics, religion, law, aesthetics, astronomy, and history. These included the Critique of Practical Reason (Kritik der praktischen Vernunft, 1788) and the Metaphysics of Morals (Die Metaphysik der Sitten, 1797), which dealt with ethics. And the Critique of Judgment (Kritik der Urteilskraft, 1790), which looks at aesthetics and teleology. He aimed to resolve disputes between empirical and rationalist approaches. The former asserted that all knowledge comes through experience; the latter maintained that reason and innate ideas were prior. Kant argued that experience is purely subjective without first being processed by pure reason. He also said that using reason without applying it to experience only leads to theoretical illusions. The free and proper exercise of reason by the individual was both a theme of the Enlightenment, and of Kant's approaches to the various problems of philosophy.
  
  wn.com/Immanuel_Kant
• 
  Jean-Pierre Serre
  Jean-Pierre Serre (born 15 September 1926) is a French mathematician. He has made fundamental contributions to the fields of algebraic geometry, number theory, and topology.
  Born in Bages, Pyrénées-Orientales, France, to pharmacist parents, Serre was educated at the Lycée de Nîmes and then from 1945 to 1948 at the École Normale Supérieure in Paris. He was awarded his doctorate from the Sorbonne in 1951. From 1948 to 1954 he held positions at the Centre National de la Recherche Scientifique in Paris. In 1956 he was elected professor at the Collège de France, a position he held until his retirement in 1994. His wife, Professor Josiane Heulot-Serre, was a renowned scientist (chemist) and president of the Women's prestigious Ecole Normale Supérieure de Jeunes Filles (equivalent of Wesley or Smith College for women in the USA). Their daughter is the historian and writer Claudine Monteil.
  From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variables and then commutative algebra and algebraic geometry, in the context of sheaf theory and homological algebra techniques. Serre's thesis concerned the Leray–Serre spectral sequence associated to a fibration. Together with Cartan, Serre established the technique of using Eilenberg–MacLane spaces for computing homotopy groups of spheres, which at that time was considered as the major problem in topology.
  
  wn.com/Jean-Pierre_Serre
• Jeremy Gray
  Jeremy Gray is an English mathematician primarily interested in the history of mathematics.
  He studied mathematics at Oxford University from 1966 to 1969, and then at Warwick University, obtaining his Ph.D. in 1980 under the supervision of Ian Stewart and David Fowler. He has worked at the Open University since 1974, and became a lecturer there in 1978. He also lectures at the University of Warwick since 2000, teaching a course on the history of mathematics.
  Gray was a consultant on the television series, The Story of Maths, a co-production between the Open University and the BBC. He edits Archive for History of Exact Sciences.
  Gray has been awarded prizes for his contributions to mathematics, including the Albert Leon Whiteman Memorial Prize from the American Mathematical Society.
  He has written many books, including:
  He has also contributed to other books:
  
  
  
  wn.com/Jeremy_Gray
• 
  John Wallis
  John Wallis (23 November 1616 – 28 October 1703) was an English mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is also credited with introducing the symbol Failed to parse (Missing texvc executable; please see math/README to configure.): {\infty}
  John Brehaut Wallis was born in Ashford, Kent, the third of five children of Reverend John Wallis and Joanna Chapman. He was initially educated at a local Ashford school, but moved to James Movat's school in Tenterden in 1625 following an outbreak of plague. Wallis was first exposed to mathematics in 1631, at Martin Holbeach's school in Felsted; he enjoyed maths, but his study was erratic, since: "mathematics, at that time with us, were scarce looked on as academical studies, but rather mechanical" (Scriba 1970).
  As it was intended that he should be a doctor, he was sent in 1632 to Emmanuel College, Cambridge. While there, he kept an act on the doctrine of the circulation of the blood; that was said to have been the first occasion in Europe on which this theory was publicly maintained in a disputation. His interests, however, centred on mathematics. He received his Bachelor of Arts degree in 1637, and a Master's in 1640, afterwards entering the priesthood. From 1643–49, he served as a non-voting scribe at the Westminster Assembly. Wallis was elected to a fellowship at Queens' College, Cambridge in 1644, which he however had to resign following his marriage.
  
  wn.com/John_Wallis
• 
  János Bolyai
  János Bolyai (pronounced [ˈjaː.noʃ ˈboː.jɒ.i]) (December 15, 1802 – January 27, 1860) was a Hungarian mathematician, known for his work in non-Euclidean geometry.
  Bolyai was born in the Transylvanian town of Kolozsvár (Klausenburg), then part of the Habsburg Empire (now Cluj-Napoca in Romania), the son of Zsuzsanna Benkő and the well-known mathematician Farkas Bolyai.
  By the age of 13, he had mastered calculus and other forms of analytical mechanics, receiving instruction from his father. He studied at the Royal Engineering College in Vienna from 1818 to 1822.
  He became so obsessed with Euclid's parallel postulate that his father wrote to him: "For God's sake, I beseech you, give it up. Fear it no less than sensual passions because it too may take all your time and deprive you of your health, peace of mind and happiness in life". János, however, persisted in his quest and eventually came to the conclusion that the postulate is independent of the other axioms of geometry and that different consistent geometries can be constructed on its negation.
  
  wn.com/János_Bolyai
• 
  Leonhard Euler
  Leonhard Euler (German pronunciation: [ˈɔʏlɐ], ( Swiss German pronunciation (help·info)) ( Standard German pronunciation (help·info)) English approximation, "Oiler"; 15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy.
  Euler spent most of his adult life in St. Petersburg, Russia, and in Berlin, Prussia. He is considered to be the preeminent mathematician of the 18th century, and one of the greatest of all time. He is also one of the most prolific mathematicians ever; his collected works fill 60–80 quarto volumes. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."
  
  wn.com/Leonhard_Euler
• 
  M. C. Escher
  Maurits Cornelis Escher ( /ˈɛʃər/, Dutch: [ˈmʌurɪts kɔrˈneːlɪs ˈɛʃər] ( listen); 17 June 1898 – 27 March 1972), usually referred to as M. C. Escher, was a Dutch graphic artist. He is known for his often mathematically inspired woodcuts, lithographs, and mezzotints. These feature impossible constructions, explorations of infinity, architecture, and tessellations.
  Maurits Cornelis, nicknamed "Mauk", was born in Leeuwarden, The Netherlands, in a house that forms part of the Princessehof Ceramics Museum today. He was the youngest son of civil engineer George Arnold Escher and his second wife, Sara Gleichman. In 1903, the family moved to Arnhem, where he attended primary school and secondary school until 1918.
  He was a sickly child, and was placed in a special school at the age of seven and failed the second grade. Though he excelled at drawing, his grades were generally poor. He also took carpentry and piano lessons until he was thirteen years old. In 1919, Escher attended the Haarlem School of Architecture and Decorative Arts. He briefly studied architecture, but he failed a number of subjects (partly due to a persistent skin infection) and switched to decorative arts. Here he studied under Samuel Jessurun de Mesquita, with whom he would remain friends for years. In 1922 Escher left the school, having gained experience in drawing and making woodcuts.
  
  wn.com/M._C._Escher
• 
  Nasir al-Din al-Tusi
  Khawaja Muḥammad ibn Muḥammad ibn Ḥasan Ṭūsī (Persian: محمد بن محمد بن الحسن طوسی‎) (born 18 February 1201 in Ṭūs, Khorasan – died on 26 June 1274 in al-Kāżimiyyah district of metropolitan Baghdad), better known as Naṣīr al-Dīn al-Ṭūsī (Persian: نصیر الدین طوسی‎‎; or simply Tusi in the West), was a Persianpolymath and prolific writer: an astronomer, biologist, chemist, mathematician, philosopher, physician, physicist, scientist, theologian and Marja Taqleed. He was of the Ismaili-, and subsequently Twelver Shī‘ah Islamic belief. The Muslim scholar Ibn Khaldun (1332–1406) considered Tusi to be the greatest of the later Persian scholars.
  Nasir al-Din Tusi was born in the city of Tus in medieval Khorasan (now in north-eastern Iran) in the year 1201 and began his studies at an early age. In Hamadan and Tus he studied the Qur'an, Hadith, Shi'a jurisprudence, logic, philosophy, mathematics, medicine and astronomy.
  He was apparently born into a Shī‘ah family and lost his father at a young age. Fulfilling the wish of his father, the young Muhammad took learning and scholarship very seriously and travelled far and wide to attend the lectures of renowned scholars and acquire the knowledge which guides people to the happiness of the next world. At a young age he moved to Nishapur to study philosophy under Farid al-Din Damad and mathematics under Muhammad Hasib. He met also Farid al-Din al-'Attar, the legendary Sufi master who was later killed by Mongol invaders and attended the lectures of Qutb al-Din al-Misri.
  
  wn.com/Nasir_al-Din_al-Tusi
• 
  Omar Khayyám
  Omar Khayyám (1048–1131; Persian: ‏عمر خیام‎) was a Persian polymath: philosopher, mathematician, astronomer and poet. He also wrote treatises on mechanics, geography, mineralogy, music, climatology and Islamic theology.
  Born in Nishapur, at a young age he moved to Samarkand and obtained his education there, afterwards he moved to Bukhara and became established as one of the major mathematicians and astronomers of the medieval period. He is the author of one of the most important treatises on algebra written before modern times, the Treatise on Demonstration of Problems of Algebra, which includes a geometric method for solving cubic equations by intersecting a hyperbola with a circle. He contributed to a calendar reform.
  His significance as a philosopher and teacher, and his few remaining philosophical works, have not received the same attention as his scientific and poetic writings. Al-Zamakhshari referred to him as “the philosopher of the world”. Many sources have testified that he taught for decades the philosophy of Avicenna in Nishapur where Khayyám was born and buried and where his mausoleum today remains a masterpiece of Iranian architecture visited by many people every year.
  
  wn.com/Omar_Khayyám
• Otto E. Neugebauer
  Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences in antiquity and into the Middle Ages. By studying clay tablets, he discovered that the ancient Babylonians knew much more about mathematics and astronomy than had been previously realized. The National Academy of Sciences has called Neugebauer "the most original and productive scholar of the history of the exact sciences, perhaps of the history of science, of our age."
  Neugebauer began as a mathematician, turned first to Egyptian and Babylonian mathematics, and then took up the history of mathematical astronomy. In a career of sixty-five years, he largely created our current understanding of mathematical astronomy from Babylon and Egypt, through Greco-Roman antiquity, to India, Islam, and Europe of the Middle Ages and Renaissance. His influence on the study of the history of the exact sciences is profound.
  
  wn.com/Otto_E._Neugebauer
• 
  Pierre de Fermat
  Pierre de Fermat (French pronunciation: [pjɛːʁ dəfɛʁˈma]; 17 August 1601 or 1607/8 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and an amateur mathematician who is given credit for early developments that led to infinitesimal calculus, including his adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of the then unknown differential calculus, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for Fermat's Last Theorem, which he described in a note at the margin of a copy of Diophantus' Arithmetica.
  Fermat was born in Beaumont-de-Lomagne, Tarn-et-Garonne, France; the late 15th century mansion where Fermat was born is now a museum. He was of Basque origin. Fermat's father was a wealthy leather merchant and second consul of Beaumont-de-Lomagne. Pierre had a brother and two sisters and was almost certainly brought up in the town of his birth. There is little evidence concerning his school education, but it may have been at the local Franciscan monastery.
  
  wn.com/Pierre_de_Fermat
• 
  René Descartes
  René Descartes (French pronunciation: [ʁəne dekaʁt]; Latinized form: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the 'Father of Modern Philosophy', and much subsequent Western philosophy is a response to his writings, which are studied closely to this day. In particular, his Meditations on First Philosophy continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system — allowing algebraic equations to be expressed as geometric shapes in a two-dimensional coordinate system — was named after him. He is credited as the father of analytical geometry, the bridge between algebra and geometry, crucial to the discovery of infinitesimal calculus and analysis. Descartes was also one of the key figures in the Scientific Revolution and has been described as an example of genius.
  
  wn.com/René_Descartes
• 
  Sophus Lie
  Marius Sophus Lie (Norwegian pronunciation: [liː] "Lee") (17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry, and applied it to the study of geometry and differential equations.
  His first mathematical work, Repräsentation der Imaginären der Plangeometrie, was published, in 1869, by the Academy of Sciences in Christiania and also by Crelle's Journal. That same year he received a scholarship and traveled to Berlin, where he stayed from September to February 1870. There, he met Felix Klein and they became close friends. When he left Berlin, Lie traveled to Paris, where he was joined by Klein two months later. There, they met Camille Jordan and Gaston Darboux. But on 19 July 1870 the Franco-Prussian War began and Klein (who was Prussian) had to leave France very quickly. Lie decided then to visit Luigi Cremona in Milan but he was arrested at Fontainebleau under suspicion of being a German spy, an event which made him famous in Norway. He was released from prison after a month, thanks to the intervention of Darboux.
  
  wn.com/Sophus_Lie
• 
  Thales
  Thales of Miletus ( /ˈθeɪliːz/; Greek: Θαλῆς, Thalēs; c. 624 BC – c. 546 BC) was a pre-Socratic Greek philosopher from Miletus in Asia Minor, and one of the Seven Sages of Greece. Many, most notably Aristotle, regard him as the first philosopher in the Greek tradition. According to Bertrand Russell, "Western philosophy begins with Thales." Thales attempted to explain natural phenomena without reference to mythology and was tremendously influential in this respect. Almost all of the other pre-Socratic philosophers follow him in attempting to provide an explanation of ultimate substance, change, and the existence of the world—without reference to mythology. Those philosophers were also influential, and eventually Thales' rejection of mythological explanations became an essential idea for the scientific revolution. He was also the first to define general principles and set forth hypotheses, and as a result has been dubbed the "Father of Science", though it is argued that Democritus is actually more deserving of this title.
  
  wn.com/Thales
• 
  Thales of Miletus
  Thales of Miletus ( /ˈθeɪliːz/; Greek: Θαλῆς, Thalēs; c. 624 BC – c. 546 BC) was a pre-Socratic Greek philosopher from Miletus in Asia Minor, and one of the Seven Sages of Greece. Many, most notably Aristotle, regard him as the first philosopher in the Greek tradition. According to Bertrand Russell, "Western philosophy begins with Thales." Thales attempted to explain natural phenomena without reference to mythology and was tremendously influential in this respect. Almost all of the other pre-Socratic philosophers follow him in attempting to provide an explanation of ultimate substance, change, and the existence of the world—without reference to mythology. Those philosophers were also influential, and eventually Thales' rejection of mythological explanations became an essential idea for the scientific revolution. He was also the first to define general principles and set forth hypotheses, and as a result has been dubbed the "Father of Science", though it is argued that Democritus is actually more deserving of this title.
  
  wn.com/Thales_of_Miletus
• 
  Thābit ibn Qurra
  Al-Ṣābiʾ Thābit ibn Qurra al-Ḥarrānī (Arabic: ثابت بن قرة‎, Latin: Thebit/Thebith/Tebit; 826 – February 18, 901) was a mathematician, physician, astronomer and translator of the Islamic Golden Age who lived in Baghdad in the second half of the ninth century.
  Ibn Qurra made important discoveries in algebra, geometry and astronomy. In astronomy, Thabit is considered one of the first reformers of the Ptolemaic system, and in mechanics he was a founder of statics.
  Thabit was born in Harran (known as Carrhae in antiquity) in Higher Mesopotamia/Assyria (in modern day Turkey). At the invitation of Muhammad bin Musa bin Shakir, one of the Banu Musa brothers, Thabit went to study in Baghdad at the House of Wisdom. He was an ethnic Assyrian, a native Syriac/Aramaic speaker, and belonged to the Sabians of Harran, a sect of Hermeticists. Other sources credit him to be a Mandaean. In either case, both sects have a great interest in astronomy, astrology, and mathematics (especially in the case of Mandaeans).
  
  wn.com/Thābit_ibn_Qurra
• 
  Witelo
  Witelo (also Erazmus Ciolek Witelo; Witelon; Vitellio; Vitello; Vitello Thuringopolonis; Vitulon; Erazm Ciołek; born ca. 1230, probably in Legnica in Lower Silesia; died after 1280, before 1314) was a friar, theologian and scientist: a physicist, natural philosopher, mathematician. He is an important figure in the history of philosophy in Poland. On the Moon there is a crater, Vitello, named after him.
  Witelo's mother was from a Polish knightly house, while his father was a German settler from Thuringia. He called himself, in Latin, "Thuringorum et Polonorum filius" — "a son of Thuringians and Poles." He studied at Padua University about 1260, then went on to Viterbo. He became friends with William of Moerbeke, the translator of Aristotle. Witelo's major surviving work on optics, Perspectiva, completed in about 1270–78, was dedicated to William.
  Witelo's Perspectiva was largely based on the work of the Persian polymath Alhazen (Ibn al-Haytham; d. ca. 1041) and in turn powerfully influenced later scientists, in particular Johannes Kepler. Witelo's treatise in optics was closely linked to the Latin version of Ibn al-Haytham's Arabic opus: Kitab al-manazir (The Book of Optics; De aspectibus or Perspectivae), and both were printed in the Friedrich Risner edition Opticae Thesaurus (Basel, 1572).
  
  wn.com/Witelo

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