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Parsci Films Incorporated
Makes  Trigonometry Learning Easier
Through This Special Slide Presentation
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Mathematicians
Luitzen Egbertus Jan Brouwer Born :  27 Feb 1881 in  Overschie  (now a suburb of Rotterdam), Netherlands Died :  2 Dec 1966 in  Blaricum , Netherlands
 
Biography
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Korteweg
Gerrit Mannoury
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Hermann Weyl
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Contribution
Luitzen Egbertus Jan Brouwer ,[object Object]
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Brouwer's Fix Point Theorem
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Questions &  Answer
What is   topology ?
Topology ,[object Object]
What is   intuitionism ?
[object Object],Intuitionism
Andrey Nikolaevich Kolmogorov Born :  25 April 1903 in Tambov, Tambov province, Russia Died :  20 Oct 1987 in Moscow, Russia
 
Biography
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Contribution
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Questions &  Answer
What place did he occupy among all the Soviet mathematicians in the number of foreign academies and scientific societies that have elected him as member?
First Place
Where did he graduate?
Moscow University
Albert Einstein Born : 14 March 1879 in Ulm, Württemberg, Germany Died : 18 April 1955 in Princeton, New Jersey, USA
 
Biography
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Contribution
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What is Einstein's best-known equation?
E=mc²
According to this equation, any given amount of  WHAT  is equivalent to a certain amount of energy, and vice versa?
mass
Andre Weil Born : 6 May 1906 in Paris, France Died : 6 Aug 1998 in Princeton, New Jersey, USA
 
Biography
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Contribution
Algebraic Geometry  ,[object Object]
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Weil’s Conjectures ,[object Object]
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Questions  &  Answer
What branches of mathematics are combined  in algebraic geometry?
Algebra & Geometry
What is the symbol for  theta ?
θ
Richard Dedekind Born : 6 Oct 1831 in Braunschweig, duchy of Braunschweig (now Germany) Died : 12 Feb 1916 in Braunschweig, duchy of Braunschweig (now Germany)
 
Biography
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Contribution
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Dedekind Cut ,[object Object]
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Questions  &  Answer
What is an  irrational number ?
Irrational Number ,[object Object]
Who was his teacher in the University of Göttingen?
Carl Friedrich Gauss
Stefan Banach Born :  30 March 1892 in Kraków, Austria-Hungary (now Poland) Died:  31 Aug 1945 in Lvov, (now Ukraine)
 
Biography
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Contribution
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Questions  &  Answer
What is the  measure theory  about?
Measure Theory ,[object Object],[object Object]
What is a  vector space ?
Vector Space ,[object Object]
Bernhard Riemann Born : 17 Sept 1826 in Breselenz, Hanover (now Germany) Died : 20 July 1866 in Selasca, Italy
 
Biography
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Contribution
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Riemannian Geometry ,[object Object]
Riemannian Geometry ,[object Object]
Riemannian Geometry ,[object Object]
Riemann Surface ,[object Object]
[object Object],Riemann Surface
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Riemann Integral ,[object Object]
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[object Object],Riemann Sum
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Riemann–Liouville Integral ,[object Object]
[object Object],Riemann–Liouville Integral
Riemann Zeta Function ,[object Object]
Riemann Zeta Function ,[object Object]
Riemann Hypothesis ,[object Object]
[object Object],Riemann Hypothesis
Riemannian Metric ,[object Object]
Question  &  Answer
Who asked his student Riemann to prepare a Habilitationsschrift on the foundations of geometry?
Carl Friedrich Gauss
Jules Henri Poincare Born : 29 April 1854 in Nancy, Lorraine, France Died : 17 July 1912 in Paris, France
 
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Biography
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[object Object],[object Object],[object Object],[object Object],Notable Awards:
Poincaré Conjecture ,[object Object]
[object Object],Poincaré Conjecture
[object Object],Topology
[object Object],Special Relativity
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[object Object],Poincaré–Hopf theorem
[object Object],Poincaré Duality
[object Object],Poincaré–Birkhoff–Witt theorem
[object Object],Poincaré Inequality
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[object Object],Hilbert–Poincaré Series
[object Object],Poincaré Metric
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[object Object],Rotation Number
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[object Object],Betti Number
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Chaos Theory ,[object Object]
Sphere-world ,[object Object]
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Poincaré–Bendixson Theorem ,[object Object]
Poincaré–Lindstedt Method ,[object Object]
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Poincaré Recurrence ,[object Object]
Question  &  Answer
What was founded by Jules Henri Poincare  through his innovations and is the mathematical theory of dynamical systems?
Qualitative Dynamics
What new mathematical tool was used by Jules Henri Poincare to attempt to answer a very longstanding question “ Is the solar system stable ”?
Topology
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King Oscar II of Sweden
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David Hilbert Born : January 23, 1862) Königsberg  or  Wehlau  (today  Znamensk, Kaliningrad Oblast ),  Province of Prussia Died : February 14, 1943 (aged 81) Göttingen ,  Germany
 
Biography
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David Hilbert ,[object Object]
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Contribution
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Hilbert's basis Theorem ,[object Object]
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[object Object],Hilbert's Axioms
Hilbert's Problems ,[object Object]
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Hilbert's Program ,[object Object]
Einstein–Hilbert Action ,[object Object]
Hilbert Space ,[object Object]
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Question  &  Answer
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Alexander Grothendieck Born:  March 28, 1928 in Berlin, Germany
 
Biography
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Alexander Grothendieck ,[object Object]
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Contribution
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Algebraic Geometry ,[object Object]
Homological Algebra ,[object Object]
Functional Analysis ,[object Object]
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Question  &  Answer
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Joseph Louis Lagrange Born:  25 January 1736) Turin, Piedmont Died:  10 April 1813 (aged 77) Paris, France
 
Biography
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Contribution
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Analytical Mechanics ,[object Object]
Celestial Mechanics ,[object Object]
Mathematical Analysis ,[object Object]
Number Theory ,[object Object]
Question  &  Answer
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Adrien-Marie Legendre Born:  18 September 1752) Paris ,  France Died:  10 January 1833 (aged 80) Paris ,  France
 
Biography
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Contribution
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Legendre Transformation  ,[object Object]
Elliptic Functions ,[object Object]
Éléments de géométrie  ,[object Object]
Éléments de géométrie ,[object Object]
Legendre Symbol  ,[object Object]
Least Squares Method ,[object Object]
Question  &  Answer
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Aryabhata Born:  476 in Kusumapura (now Patna), India Died:  550 in India
Statue of Aryabhata on the grounds of IUCAA, Pune.  As there is no known information regarding his appearance, any image of Aryabhata originates from an artist's conception.
Biography
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Contribution
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Place value system and zero  ,[object Object]
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Pi as irrational  ,[object Object]
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Mensuration and trigonometry  ,[object Object]
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Indeterminate Equations ,[object Object]
Algebra   ,[object Object]
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Aryabhatiya ,[object Object]
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Question  &  Answer
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Jakob Steiner Born:  18 March 1796 in Utzenstorf, Switzerland Died:  1 April 1863 in Bern, Switzerland
 
Biography
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Contribution
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Synthetic Geometry ,[object Object]
Systematische Entwickelung der Abhängigkeit geometrischer Gestalten von einander   Éléments de géométrie
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Die geometrischen Constructionen ausgeführt mittels der geraden Linie und eines festen Kreises
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Vorlesungen über synthetische Geometrie
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Question  &  Answer
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John Brehaut Wallis Born:  23 Nov 1616 in Ashford, Kent, England Died:  28 Oct 1703 in Oxford, England
John Wallis
Biography
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Contribution
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Opera Mathematica I ,[object Object]
Analytical Geometry ,[object Object]
Analytical Geometry ,[object Object]
Analytical Geometry ,[object Object]
Integral Calculus ,[object Object]
Integral Calculus ,[object Object]
Integral Calculus ,[object Object],[object Object],[object Object]
Integral Calculus ,[object Object]
Algebra ,[object Object]
Algebra ,[object Object]
Algebra ,[object Object]
Geometry ,[object Object]
Geometry ,[object Object]
Geometry ,[object Object]
Geometry ,[object Object]
Calculator ,[object Object]
Calculator ,[object Object]
Calculator ,[object Object]
Question  &  Answer
Who is given partial credit for the development of modern calculus?
John Wallis
What did Wallis introduce in his Opera Mathematica I (1695)
"continued fraction"
Carl Friedrich Gauss Born:  30 April 1777 in Brunswick, Duchy of Brunswick (now Germany) Died:  23 Feb 1855 in Göttingen, Hanover (now Germany)
John Wallis
Biography
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Contribution
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Degaussing ,[object Object]
Gauss ,[object Object]
Gauss–Bonnet theorem  or  Gauss–Bonnet formula ,[object Object]
Gauss–Codazzi–Mainardi equations ,[object Object]
Gauss–Jordan elimination ,[object Object]
Gauss–Kronrod quadrature formula ,[object Object]
Heptadecagon ,[object Object]
Modular Arithmetic ,[object Object],[object Object]
Question  &  Answer
Who awarded Gauss a fellowship to the Collegium Carolinum?
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What is the book in which Gauss made important contributions to number theory?
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Takakazu Seki Born:  March 1642 in Fujioka, Kozuke, Japan Died:  5 Dec 1708 in Edo (now Tokyo), Japan
John Wallis
Biography
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Contribution
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Wasan Geometry ,[object Object]
Sangaku ,[object Object]
Rectification of the Circle  ,[object Object]
Calculation of Pi ,[object Object]
Question  &  Answer
What is the another term for early Japanese mathematics?
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What was the process that Seki used when he obtained a value for π that was correct to the 10th decimal place?
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Archimedes Born:  287 BC in Syracuse, Sicily (now Italy) Died:  212 BC in Syracuse, Sicily (now Italy)
John Wallis
Biography
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Contribution
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Question  &  Answer
What did Archimedes use to approximate the value of π?
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What did Archimedes prove about the area of the circle?
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Bhaskara Achārya Born:  1114   Died:  1185
John Wallis
Biography
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Question  &  Answer
Who taught him mathematics?
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What do you call of his method for finding the solutions of the problem x² − ny² = 1?
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Blaise Pascal Born:  June 19, 1623  Died:  August 19, 1662
John Wallis
Biography
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Trigonometry 3A
Trigonometry 3A
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Trigonometry 3A
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Trigonometry 3A