André Marie Ampère (1775 – 1836)
Early Life
“My father… never required me to study anything, but he knew how to inspire in me a great
desire for knowledge. Before learning to read, my greatest pleasure was to listen to passages
from Buffon’s natural history. I constantly requested him to read me the history of animals and
birds…”
(S2)
   ● Aged 13, André-Marie began a serious study of mathematics using books in his father’s
     library. He submitted a paper about conic sections to the Academy of Lyon, but it was
     rejected.
   ● The rejection spurred him into working harder than ever. His father bought him specialist
     books to help him improve. He also took his son into Lyon, where Abbot Daburon gave
     him lessons in calculus – the first formal lessons André-Marie ever had.
Contributions
(S3)
   ● The Ampere
               -the SI unit for electric current is the ampere or amp (symbol A), named in
       Ampère’s honor. It was Ampère who first defined electric current as a ‘circulation of
       electric fluid in a closed circuit.’
(S4)
   ● Electrodynamics
                -Ampère found that parallel wires with currents flowing in the same direction
       attract each other. Currents in opposite directions repel each other.
Sophie Germain (1776-1831)
   ● Never wavered in her pursuit of mathematics despite the hindrances in a patriarchal
     society that barred a woman from taking education.
   ● Kept hidden her identity and worked under the pseudonym of Leblanc.
   ● Mainly she taught herself by studying books from her father’s library. Her passion for
     mathematics despite obstacles and family pressure remained unrivaled.
   ● After being diagnosed with breast cancer, she never gave way to her disease rather
     worked vigorously on her work of elasticity and game theory. At the age of 55, she died
     in 1831.
Contribution in mathematics
   ● She presented her work on Fermat’s last theorem by proving that
n = p – 1, later came to be known as Sophie Germain’s theorem.
Louis Poinsot
   ● One of the 72 scientists whose name is inscribed on the first floor of the Eiffel Tower. He
     is the first, on the face facing east.
   ● Performed poorly in the algebra assessment, which he failed. Despite this poor
     performance in one part of the entrance examinations, he was accepted for admission to
     the École Polytechnique.
   ● Gave up the idea of becoming an engineer to become a mathematics teacher.
   ● He was involved both in the politics of higher education and also with the politics of
     France: Chambre de Paris (1846) and the Senate (1852).
Contributions
   ● Elements of Static
               -deals with the fundamental parts of mechanics, presents this essential character
       of enclosing new principles in one of the oldest known materials, invented by
       Archimedes, perfected by Galileo, Huyghens, and Newton.
   ● Diophantine equations
                -how to express numbers as the difference of two squares and primitive roots.
Bernard Bolzano (1781-1848)
   ● Bernard and one of his brothers, Johann, were the only two to reach adulthood out of
     twelve siblings. His health, however, was delicate and he had to fight against respiratory
     problems throughout his life.
      “My special pleasure in mathematics rested therefore particularly on its purely
      speculative parts, in other words I prized only that part of mathematics which was
      at the same time philosophy.”
Two days after receiving his doctorate Bolzano was ordained a Roman Catholic priest. However,
“He came to realise that teaching and not ministering defined his true vocation.” (Russ)
      “Of all actions possible to you, choose always the one which, weighing all
      consequences, will most further the good of the totality, in all its parts.”
Bolzano was removed from his professorship by Emperor Franz which came as a blessing in
disguise that Bolzano now — “exempted” from teaching duties — had all the time he needed to
elaborate and write his new foundation of logic. It was published in 1837 in four volumes as
Theory of Science. After that, Bolzano took great pains to elaborate a new foundation of
mathematics. The realization of this project was considerably developed but not yet completed
when Bolzano died in 1848.
Friedrich Wilhelm Bessel (1784-1846)
GERMAN ASTRONOMER
   ● German astronomer whose measurements of positions for about 50,000 stars and rigorous
     methods of observation (and correction of observations) took astronomy to a new level of
     precision.
   ● He was the first to measure accurately the parallax, and hence the distance, of a star other than
     the Sun.
Life And Accomplishments
   ● Bessel was born in Westphalia, the son of a poor government employee. At the age of 15, he
     entered an export-import firm. During his apprenticeship, dreaming of travel, he studied
     languages, geography, the habits of distant peoples, and the principles of navigation, which led
     him to astronomy and mathematics.
William George Horner (1786-1837)
   ● At the almost unbelievable age of 14 he became an assistant master at Kingswood school
     in 1800 and headmaster four years later. He left Bristol and founded his own school in
     1809; The Seminary at 27 Grosvenor Place in Bath.
Contributins
   ● Horner's method
              -solving algebraic equations ascribed to him by Augustus De Morgan and
       othersAt first sight, Horner's plagiarism seems like direct theft. However, he was
       apparently of an eccentric and obsessive nature ... Such a man could easily first persuade
       himself that a rival method was not greatly different from his own, and then, by degrees,
       come to believe that he himself had invented it.
   ● "butterfly problem"
               -Let M be the midpoint of a chord PQ of a circle, through which two other chords
       AB and CD are drawn. Suppose AD cuts PQ at X and BC cuts PQ at Y. Prove that M is
       also the midpoint of XY.
August Leopold Crelle (1780-1855)
   ● August Crelle's father was a builder who had little in the way of income to be able to give
     his son a good education. Crelle was therefore largely self-taught, studying civil
     engineering.
   ● Had his family had the resources, then Crelle would have studied mathematics at
     university. He always had a love of the subject but earning money was a necessity for
     him. However, he was always one to be prepared to study on his own and indeed he spent
     a great deal of time working on mathematics. He achieved a remarkable level of
     mathematics considering that he had never been formally taught, and when he was 36
     years old he submitted a thesis De calculi variabilium in geometria et arte mechanica
     usu Ⓣ to the University of Heidelberg and was duly awarded a doctorate.
   ● These three qualities:
                 1. his great enthusiasm for the subject
                 2. his organisational ability, and thirdly his ability to spot exceptional talent
                    in young mathematicians.
                 3. Crelle had a unique sensitivity to mathematical genius; Crelle had an
                    extraordinary intuition for judging the qualities of young talents, and for
                    encouraging then with their research work.
      “The real purpose of mathematics is to be the means to illuminate reason and to
      exercise spiritual forces.”
References:
Retrieved from https://www.famousscientists.org/andre-marie-ampere/
https://famous-mathematicians.com/sophie-germain/
https://www.wonders-of-the-world.net/Eiffel-Tower/Pantheon/Louis-Poinsot.php
http://mathshistory.st-andrews.ac.uk/Biographies/Poinsot.html
http://mathshistory.st-andrews.ac.uk/Biographies/Bolzano.html
https://plato.stanford.edu/entries/bolzano/#BolLifSciCar
https://www.britannica.com/biography/Friedrich-Wilhelm-Bessel
http://mathshistory.st-andrews.ac.uk/Biographies/Horner.html
http://mathshistory.st-andrews.ac.uk/Biographies/Crelle.html