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Mathematicians By: Baylee Maynard. Brahmagupta. Born: 598 AD in Bhinmal City in Northwest India. Died: 668 AD His father was Jisnugupta Lived most of his life in Bhillamala (modern day Bhinmal) Was the head of the Astronomical Observatory at Ujjain.
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Mathematicians By: Baylee Maynard
Brahmagupta • Born: 598 AD in Bhinmal City in Northwest India. • Died: 668 AD • His father was Jisnugupta • Lived most of his life in Bhillamala (modern day Bhinmal) • Was the head of the Astronomical Observatory at Ujjain. • During his tenure there, wrote four texts on Mathematics and astronomy.
Brahmagupta Cont. • Brahmagupta had many accomplishments, but his major accomplishments was defining zero. • He found the formula for the area of a cyclic quadrilateral. • Gave a valuable interpolation formula for computing sines. • Applied algebraic methods to astronomical problems.
Brahmagupta Cont. • Brahmagupta distinguished 20 arithmetical operations. - Extraction of roots and the solution of proportions. - 8 measurements - Four methods of multiplication - Five rules for reducing a rational expression to a single fraction. • His mathematics was rooted in the Greek tradition.
Brahmagupta Cont. • Brahmagupta unlike most European algebraists of the Middle Ages, he recognized negative and irrational numbers as roots of an equation. • His mathematics was a mixture of concrete problems and abstract formulas.
Brahmagupta Cont. • His most famous text was “Brahmasphutasiddhanta”. • Brahmagupta's first rule of dealing with zero as a number was “ When zero is added to a number or subtracted from a number, the number remins unchanged.” • Second Rule is “A number multiplied by zero becomes zero.”
John Brehaut Wallis • Born: November 23, 1616 in Ashford England • Died: October 28, 1703 in Oxford England. • Went to school in Ashford, but his mom wanted him to to move. • Moved to Jame's Movat's grammar school; where he first showed sign of becoming a great Scholar.
John Brehaut Wallis Cont. • John was able to do mental calculations • One day he calculated the square root of a number with 53 digits in his head. • Given credit for the proof of the Pythagorean theorem, using similar triangles.
John Brehaut Wallis Cont. • Arithmetica Infinitorum was the most important of Wallis's work. • It was published in 1656. • After a short tract on conic sections, developed the standard notion for powers, extending them from positive integers to rational numbers.
John Brehaut Wallis Cont. • Wallis made significant contributions to Trigonometry, Calculus, Geometry. • Also the analysis of Infinite Series. • In his Opera Mathematica he introduced the term continued fraction.
John Brehaut Wallis Cont. • His Institutio logicae was published in 1687 and became very popular. • The Grammatica linguae Anglicanae was a work on English Grammar. • Published on Theology.
Clara Latimer Bacon • Born: August 23, 1866 • Died: April 14,1948 • Graduated from Hedding College in Abingdon, Illinois in 1886. • Received her B.A. Degree from Wellesley College in 1890. • Taught secondary school in Kentucky for a year, then in Illinois for five.
Clara Latimer Bacon Cont. • She was promoted to associate professor at Goucher in 1905, then full Professor in 1914. • Teach at Goucher College until her retirement in 1934.
Clara Latimer Bacon Cont. • She was a member of the American Mathematical Society. • Also a member of the Mathematical Association of America. • Was the first women to receive a Ph.D. In mathematics from John Hopkins University.
Clara Latimer Bacon Cont. • After receiving her Masters Degree from the University of Chicago in 1904. she had a thesis. “The determination and investigation of the real chords of two conics with the intersect fewer than four real points.” • Her work on “The Cartesian oval and the epileptic functions p and o” was published in the American Journal of Mathematics.
Clara Latimer Bacon Cont. • Served as President of the Maryland-Virginia section of the MAA. • Served many years on the College Entrance Examination Board. • Bacon was involved with serval associations for peace as well as the Foreign Policy Association. & the League of Women Voters.