Johann Carl Friedrich Gauss was a German mathematician who contributed significantly to many fields including:
โ number theory
โ algebra
โ statistics
โ analysis
โ differential geometry
โ geodesy
โ geophysics
โ mechanics
โ electrostatics
โ astronomy
โ matrix theory
โ optics.
Sometimes referred to as the "foremost of mathematicians" and "greatest mathematician since antiquity".
Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.
โ number theory
โ algebra
โ statistics
โ analysis
โ differential geometry
โ geodesy
โ geophysics
โ mechanics
โ electrostatics
โ astronomy
โ matrix theory
โ optics.
Sometimes referred to as the "foremost of mathematicians" and "greatest mathematician since antiquity".
Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.
Mathematics
problem 27.pdf
A
An other prove
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Sent from Obidah ali Alsharafy from Yemen
An other prove
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Sent from Obidah ali Alsharafy from Yemen
Mathematics
Problem 28.pdf
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#Number_Theoryโโ
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#Combinatorics๐ฆ๐ก
#Colombia๐จ๐ด
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๐ต๐ตHer research topics include:
โ Teichmรผller theory
โ hyperbolic geometry
โ ergodic theory
โ symplectic geometry
๐ด๐ดAwards and honors
๐ 1995-99:
IPM Fellowship, Tehran, Iran
๐ 2003:
Merit fellowship Harvard University
๐ 2003:
Harvard Junior Fellowship Harvard University
๐ 2004:
Clay Mathematics Institute Research Fellow
"Simple geodesics on hyperbolic surfaces and the volume of the moduli space of curves"
๐ 2009:
AMS Blumenthal Award
๐ 2010:
Invited to talk at the International Congress of Mathematicians, on the topic of "Topology and Dynamical Systems & ODE"
๐ 2013:
The 2013 AMS Ruth Lyttle Satter Prize in Mathematics.
๐ 2014:
Named one of Nature's ten "people who mattered"
๐ 2014:
Clay Research Award
๐ 2014:
Plenary speaker at the International Congress of Mathematicians (ICM)
๐ ๐2014:
Fields Medal
On 13 August 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics.
her work in "the dynamics and geometry of Riemann surfaces and their moduli spaces".
๐ 2015:
Elected foreign associate to the French Academy of Science
๐ 2015:
Elected to the American Philosophical Society
๐ 2016:
National Academy of Sciences
๐ 2017:
Elected to the American Academy of Arts and Sciences
โ Teichmรผller theory
โ hyperbolic geometry
โ ergodic theory
โ symplectic geometry
๐ด๐ดAwards and honors
๐ 1995-99:
IPM Fellowship, Tehran, Iran
๐ 2003:
Merit fellowship Harvard University
๐ 2003:
Harvard Junior Fellowship Harvard University
๐ 2004:
Clay Mathematics Institute Research Fellow
"Simple geodesics on hyperbolic surfaces and the volume of the moduli space of curves"
๐ 2009:
AMS Blumenthal Award
๐ 2010:
Invited to talk at the International Congress of Mathematicians, on the topic of "Topology and Dynamical Systems & ODE"
๐ 2013:
The 2013 AMS Ruth Lyttle Satter Prize in Mathematics.
๐ 2014:
Named one of Nature's ten "people who mattered"
๐ 2014:
Clay Research Award
๐ 2014:
Plenary speaker at the International Congress of Mathematicians (ICM)
๐ ๐2014:
Fields Medal
On 13 August 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics.
her work in "the dynamics and geometry of Riemann surfaces and their moduli spaces".
๐ 2015:
Elected foreign associate to the French Academy of Science
๐ 2015:
Elected to the American Philosophical Society
๐ 2016:
National Academy of Sciences
๐ 2017:
Elected to the American Academy of Arts and Sciences
๐ต๐ตHis research topics include:
โ Riemannian geometry
โ Geometric topology
โ Proof of the soul conjecture
โ Proof of the Poincarรฉ conjecture
๐ด๐ดAwards
๐ Saint Petersburg Mathematical Society
๐ Prize (1991)
๐ EMS Prize (1996), declinedโ
๐ Fields Medal (2006), declinedโ
๐ Millennium Prize (2010), declinedโ
โฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธ
His mathematical education continued at theLeningrad Secondary School, aspecialized school with advanced mathematics and physics programs.
๐ 1982:
as a member of theSoviet Union team competing in theInternational Mathematical Olympiad, an international competition for high school students, he won a gold medal, achieving a perfect score.
๐ 1994:
Perelman proved the soul conjecture.
๐ 2003:
he proved (confirmed in 2006)Thurston's geometrization conjecture.
This consequently solved in the affirmative thePoincarรฉ conjecture.
๐ August 2006:
Perelman was offered theFields Medal for "his contributions to geometry and his revolutionary insights into the analytical and geometric structure of theRicci flow", but he declined the award, stating:
โญ๏ธ
I'm not interested in money or fame; I don't want to be on display like an animal in a zooโญ๏ธ
๐ 22 December 2006:
the scientific journal Science recognized Perelman's proof of the Poincarรฉ conjecture as the scientific "Breakthrough of the Year", the first such recognition in the area of mathematics.
๐ 18 March 2010:
it was announced that he had met the criteria to receive the first ClayMillennium Prize for resolution of the Poincarรฉ conjecture.
๐ 1 July 2010:
he turned down the prize of one million dollars, saying that he considered the decision of the board of CMI and the award very unfair and that his contribution to solving the Poincarรฉ conjecture was no greater than that ofRichard S. Hamilton, the mathematician who pioneered the Ricci flow with the aim of attacking the conjecture.
๐
He also turned down the prestigious prize of the European Mathematical Society.
โ Riemannian geometry
โ Geometric topology
โ Proof of the soul conjecture
โ Proof of the Poincarรฉ conjecture
๐ด๐ดAwards
๐ Saint Petersburg Mathematical Society
๐ Prize (1991)
๐ EMS Prize (1996), declinedโ
๐ Fields Medal (2006), declinedโ
๐ Millennium Prize (2010), declinedโ
โฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธโฌ๏ธ
His mathematical education continued at theLeningrad Secondary School, aspecialized school with advanced mathematics and physics programs.
๐ 1982:
as a member of theSoviet Union team competing in theInternational Mathematical Olympiad, an international competition for high school students, he won a gold medal, achieving a perfect score.
๐ 1994:
Perelman proved the soul conjecture.
๐ 2003:
he proved (confirmed in 2006)Thurston's geometrization conjecture.
This consequently solved in the affirmative thePoincarรฉ conjecture.
๐ August 2006:
Perelman was offered theFields Medal for "his contributions to geometry and his revolutionary insights into the analytical and geometric structure of theRicci flow", but he declined the award, stating:
โญ๏ธ
I'm not interested in money or fame; I don't want to be on display like an animal in a zooโญ๏ธ
๐ 22 December 2006:
the scientific journal Science recognized Perelman's proof of the Poincarรฉ conjecture as the scientific "Breakthrough of the Year", the first such recognition in the area of mathematics.
๐ 18 March 2010:
it was announced that he had met the criteria to receive the first ClayMillennium Prize for resolution of the Poincarรฉ conjecture.
๐ 1 July 2010:
he turned down the prize of one million dollars, saying that he considered the decision of the board of CMI and the award very unfair and that his contribution to solving the Poincarรฉ conjecture was no greater than that ofRichard S. Hamilton, the mathematician who pioneered the Ricci flow with the aim of attacking the conjecture.
๐
He also turned down the prestigious prize of the European Mathematical Society.