Joseph-Louis Lagrange

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					Joseph-Louis Lagrange




     Born January 25, 1736
       Died April 10, 1813
A founder of calculus of variations
        Tiffany Buscaglia
                10
                              Early Life
                •   Father was of good social position and wealth
                •   Seventeen when he started getting into mathematics
                •   Went to Turin for college
                •   Father wanted him to be a lawyer
                •   Oldest of eleven children
                •   One of two who survived to adulthood


•   he began to study mathematics on his
    own at age 16 and by age 19 was
    appointed to a professorship at the
    Royal Artillery School
•   Lagrange sent Euler a better solution
    he had discovered for deriving the
    central equation in the calculus of
    variations
                             Education
•   Study at Royal Artillery School in
    Turin

•   Also went to Berlin Academy of
    Sciences



•   Founding member of what would
    be come the Royal Academy of
    Science of Turin
                     Personal Philosophy/religious beliefs


•   Was a roman catholic
•   Repeated the class and tackled it with more energy
•   Inspired by Edmund Halley
•   Threw himself into the study of mathematics when he turned nineteen
•   He had little interest in the subject at first
                          Contributions to mathematics




•   Creator of calculus of variations
•   produce his splendid Mécanique analytique
•   contributed between one and two hundred papers to the Academy of Turin
•   contributions to the fourth and fifth volumes, of the Miscellanea Taurinensia
    in 1766–1773
                             Main Accomplishments



•   calculus of variations

•   solution of polynomial equations
•   power series and functions
•   defined the volume of Eluer’s equation
•   And surface area
•   noted that the double integral signs indicate that the two integrations must
    be performed successively

•   Reflexions sur la Theorie Algebriques des Equations of 1770 was used for
    solving algebraically polynomial equations
             Examples of his works




.equation of the surface is given by z=f(x,y),
adz=Pdx+Qdy
.If is positive from x=a to x=b, for b>a, then
f(b)-f(a) is positive
.formula f(x+i)=f(x)+iP, where P is a function
of x and i
.If f is integrable on [a,b] and f(x)>o for all x
in [a,b],
                                     Works he wrote



•   paper entitled Recherches sur la nature et la propagation du son



•   produce his splendid Mécanique analytique



•   Published a scientific journal




•   The five volumes of his transactions, usually known as the Miscellanea
    Taurinensia
                              Facts About Lagrange


•   considered to be a French             • First to prove that Pell’s
    mathematician
•    his favorite subject was classical
                                            equation x2 − ny2 = 1 has a
    Latin                                   nontrivial solution in the
•   His work in Berlin covered many         integers for any non-square
    topics: astronomy, the stability of     natural number
    the solar system, mechanics, etc.     • He was of medium height and
•   First professor of Ecole                slightly formed, with pale blue
    Polytechique                            eyes and a colorless
                                            complexion.
•   Napoleon named Lagrange to the        • Baptized in the name of
    Legion of Honour and Count of the       Giuseppe Lodovico Lagrangia
    Empire in 1808
                                          • was chosen to succeed Euler
                                            as the director of the Berlin
•   Lagrange died in Paris                  Academy
                                          • was buried with honor in the
                                            Pantheon
                            Other accomplishments



•   Lastly, there are numerous papers on problems in astronomy. He loved
    astronomy.

•   Three papers on the method of interpolation, 1783, 1792 and 1793: the part
    of finite differences dealing therewith is now in the same stage as that in
    which Lagrange left it.


•   In astronomy he is known for his calculations of the motions of planets.
                Sources I used



•   I used think quest

•   Wikipedia, the free encyclopedia

•   Biographybase

•   I also used papers I had on him
    from my eighth grade year

•   I also used information about him
    on the university of St. Andrews,
    Scotland

				
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