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Medieval Mathematics (by Group 4)

By mrycrlsrn
  • Nicolò Fontana Tartaglia was born in Brescia, Italy
    1500

    Nicolò Fontana Tartaglia was born in Brescia, Italy

    O'Connor, J., & Robertson, E. (2005, September). Tartaglia (1500 - 1557) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Tartaglia/
  • Girolamo Cardano was born in Pavia, Italy
    Sep 24, 1501

    Girolamo Cardano was born in Pavia, Italy

    Huffman, C. J. (n.d.). Mathematical Treasure: Cardano's Ars Magna. Mathematical Association of America. https://maa.org/press/periodicals/convergence/mathematical-treasure-cardanos-ars-magna
  • 1510

    Scipione del Ferro found a general solution to x³ + ax = b but was unable to publish the discovery.

  • Feb 2, 1522

    Lodovico Ferrari was born in Bologna, Italy

    Lodovico Ferrari. (n.d.). MacTutor. https://mathshistory.st-andrews.ac.uk/Biographies/Ferrari/poster/lived/
  • 1526

    Cardano received his medical degree at Pavia and Pascua

  • Nov 5, 1526

    Scipione Del Ferro died

  • 1534

    Cardano moved to Milan, Italy where he lived in poverty

  • 1535

    Antonio Maria Fior (a student of Scipione del Ferro) and Nicolò Fontana Tartaglia had a debate

  • 1535

    Nicolò Tartaglia discovered the formula for x³ + ax = b and x³ + ax² = b.

  • 1537

    Ferrari has become Cardano’s servant

  • 1539

    Cardano was admitted to the College of Physicians as a mathematics lecturer

  • 1539

    Cardano published 2 books on arithmetic embodying his popular lectures (Practice of Mathematics and Individual Measurements)

  • Feb 12, 1539

    Cardano wrote a letter to Tartaglia with request to get the cubic formula

  • Francois Viete was born in France
    1540

    Francois Viete was born in France

    Francois Viete | Algebraic Notation, Analytic Geometry, & Number Theory. (2024, April 9). Britannica. https://www.britannica.com/biography/Francois-Viete-seigneur-de-la-Bigotiere
  • 1543

    Cardano and Ferrari found out about the discovery of Del Ferro formula in cubic

  • 1543

    Cardano accepted a professorship in Medicine in Pavia

  • Cardano wrote and published "Ars Magna" the tenth in a series of volumes that he wrote for his work "Opus Perfectum"
    1545

    Cardano wrote and published "Ars Magna" the tenth in a series of volumes that he wrote for his work "Opus Perfectum"

    Part 2: Cardano's Ars Magna. (n.d.). Mathematics. https://www.ms.uky.edu/~sohum/ma330/files/eqns_2.pdf
  • 1546

    Ferrari and Tartaglia had continuous insults to each other in the form of letters.

  • Aug 10, 1548

    Tartaglia and Ferrari has their debate in Church of Santa Maria del Giardino, Milan which declared Ferrari as the winner

    O'Connor, J., & Robertson, E. (2005, September). Tartaglia versus Cardan - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/HistTopics/Tartaglia_v_Cardan/
  • John Napier was born in Merchiston Castle, Scotland
    Feb 1, 1550

    John Napier was born in Merchiston Castle, Scotland

    Scott, J. F., & Murray, F. J. (2024, March 31). John Napier | Biography, Invention, Logarithms, Bones, & Facts. Britannica. https://www.britannica.com/biography/John-Napier
  • Dec 15, 1557

    Tartaglia died at Venice, Italy

  • 1560

    Viete received his legal degree from the University of Poitiers

  • Henry Briggs was born in England
    Feb 1, 1561

    Henry Briggs was born in England

    da Vinci, L. (2024, February 19). Henry Briggs | English Mathematician & Logarithm Pioneer. Britannica. https://www.britannica.com/biography/Henry-Briggs
  • 1563

    Napier started to study in St. Andrews University

  • 1564

    Napier left Scotland and studied in Europe

  • Oct 5, 1565

    Lodovico Ferrari died in Bologna, Italy due to poisoning

  • Sep 21, 1576

    Cardano died in Rome, Italy due to suicide

  • Viete published Canon Mathematicus, a mathematical introduction to the astronomy treatise. Canon Mathematicus covers trigonometry.
    1579

    Viete published Canon Mathematicus, a mathematical introduction to the astronomy treatise. Canon Mathematicus covers trigonometry.

    Norman, J. M. (n.d.). François Viète's Classic of Mathematics and Typography. History of Information. https://www.historyofinformation.com/detail.php?id=2633
  • Mar 25, 1580

    Viete was appointed as Henry III as a member of the royal privy council

  • Viete published "In artem analyticam isagoge" which first introduced the first systematic algebraic notation

    Viete published "In artem analyticam isagoge" which first introduced the first systematic algebraic notation

    Norman, J. M. (2015, September 20). François Viète Issues the Earliest Work on Symbolic Algebra; A Tale of Two Printings. History of Information. https://historyofinformation.com/detail.php?id=3746

  • Napier started to work on Logarithm

  • René Descartes was born in France

    René Descartes was born in France

    O'Connor, J., & Robertson, E. (2014, November). René Descartes (1596 - 1650) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Descartes/
  • Pierre de Fermat was born in France

    Pierre de Fermat was born in France

    O'Connor, J., & Robertson, E. (2002, December). Pierre Fermat (1601 - 1665) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Fermat/

  • Francois Viete died in Paris, France

  • John Napier published the book “A Description of the Wonderful Table of Logarithms”

    John Napier published the book “A Description of the Wonderful Table of Logarithms”

    Clark, K. M., & Montelle, C. (2011, January). Logarithms: The Early History of a Familiar Function - John Napier Introduces Logarithms. Mathematical Association of America. https://maa.org/press/periodicals/convergence/logarithms-the-early-history-of-a-familiar-function-john-napier-introduces-logarithms

  • Henry Briggs suggested for improvement for logarithm and visited Napier hometown for a month

  • Briggs once again visited Napiers hometown for continuing their collaboration in logarithm

  • Briggs planned on another visit but canceled due to the death of John Napier

  • Henry Briggs published “Logarithmorum Chilias Prima” an introduction to base 10 logarithm

    Henry Briggs published “Logarithmorum Chilias Prima” an introduction to base 10 logarithm

    Rae, W. (2011, January 11). A reconstruction of Briggs' Logarithmorum chilias prima (1617). LOCOMAT. https://locomat.loria.fr/briggs1617/briggs1617doc.pdf

  • John Napier died in Merchiston Tower

  • Descartes invented analytic geometry (a method of solving geometric problems algebraically and algebraic problems geometrically)

  • Henry Briggs published “Arithmetica Logarithmica” with extension of logarithms from 1 to 20,000 in 14 decimal places

    Henry Briggs published “Arithmetica Logarithmica” with extension of logarithms from 1 to 20,000 in 14 decimal places

    Swetz, F. J. (2013, April). Mathematical Treasure: Arithmetica Logarithmica of Henry Briggs. Mathematical Association of America. https://maa.org/press/periodicals/convergence/mathematical-treasure-iarithmetica-logarithmicai-of-henry-briggs

  • Henry Briggs died in England

  • Fermat wrote a theorem he discovered in his copy of Arithmetica by Diopahntus of Alexandria

  • Descartes published the coordinate system

    Descartes and the Cartesian Plane | Miss Meyer's Math Blog. (2012, April 10). Miss Meyer's Math Blog. https://missmeyersmathblog.wordpress.com/2012/04/10/descartes-and-the-cartesian-plane/ Wright, R. (n.d.). 1-01 The Cartesian Plane. https://www.andrews.edu/~rwright/Precalculus-RLW/Text/01-01.html
  • Descartes published "La Geometrie" which bridged algebra and geometry

    Descartes published "La Geometrie" which bridged algebra and geometry

    Cottingham, J., Stoothoff, R., Murdoch, D., Kenny, A., & Domski, M. (2011, November 28). Descartes' Mathematics (Stanford Encyclopedia of Philosophy). Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/descartes-mathematics/
  • Isaac Newton was born in United Kingdom

    Isaac Newton was born in United Kingdom

    O'Connor, J., & Robertson, E. (2000, January). Isaac Newton (1643 - 1727) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Newton/
  • Gottfried Leibniz was born in Leipzig, Germany

    Gottfried Leibniz was born in Leipzig, Germany

    O'Connor, J., & Robertson, E. (1998, October). Gottfried Leibniz (1646 - 1716) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Leibniz/

  • Pierre de Fermat’s death

  • Newton first discovered Calculus

    How Isaac Newton Changed the World with the Invention of Calculus. (2017, March 18). Math Tutor DVD. https://www.mathtutordvd.com/public/How-Isaac-Newton-Changed-the-World-with-the-Invention-of-Calculus.cfm
  • Newton wrote a paper on fluxions (Newton first described his version of differential calculus as the "method of fluxions")

    Newton wrote a paper on fluxions (Newton first described his version of differential calculus as the "method of fluxions")

  • Newton wrote his first independent treatise

  • Leibniz began working on his version of Calculus

    Swetz, F. J. (2015, June). Mathematical Treasure: Leibniz's Papers on Calculus. Mathematical Association of America. https://maa.org/press/periodicals/convergence/mathematical-treasure-leibnizs-papers-on-calculus

  • Leibniz made a breakthrough in finding the area under the graph of the function y = f(x)

  • Leibniz published the first paper on calculus (Differential Calculus)

    Leibniz published the first paper on calculus (Differential Calculus)

    Nova Methodus pro Maximis et Minimis | work by Leibniz. (2024, March 21). Britannica. https://www.britannica.com/topic/Nova-Methodus-pro-Maximis-et-Minimis

  • Leibniz published his explanation about integral calculus

  • Newton published his book "Philosophiæ Naturalis Principia Mathematica" which contains the laws of motion, laws of universal gravitation, as well as his derivation of Kepler’s law of planetary motion

    Newton published his book "Philosophiæ Naturalis Principia Mathematica" which contains the laws of motion, laws of universal gravitation, as well as his derivation of Kepler’s law of planetary motion

    Principia | Meaning, Newton, & Facts. (2024, March 15). Britannica. https://www.britannica.com/topic/Principia

  • Leibniz was accused of plagiarism by Fatio de Duillier

    Kolpas, S. J. (2022, June). Wikipedia. https://maa.org/press/periodicals/convergence/mathematical-treasure-leibnizs-reply-to-fatio
  • Leonhard Euler was born in Basel, Switzerland

    Leonhard Euler was born in Basel, Switzerland

    O'Connor, J., & Robertson, E. (1998, September). Leonhard Euler (1707 - 1783) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics. https://mathshistory.st-andrews.ac.uk/Biographies/Euler/
  • Newton published his treatise

    Newton published his treatise

    Isaac Newton's Work on Calculus – De analysi (1711) |. (2019, February 4). UO Blogs. https://blogs.uoregon.edu/scua/2019/02/04/isaac-newtons-work-on-calculus-de-analysi-1711/

  • Royal Society officially announced Isaac Newton as the father and sole discoverer of Calculus

  • Königsberg Problem

    Königsberg Problem

    Paoletti, T. (2011, May). Leonard Euler's Solution to the Konigsberg Bridge Problem. Mathematical Association of America. https://maa.org/press/periodicals/convergence/leonard-eulers-solution-to-the-konigsberg-bridge-problem

  • Graph Theory resulting to having Euler’s Formula for Polygons

    Grassl, R., & Levin, O. (n.d.). 1.3Planar Graphs and Euler's Formula. Discrete Mathematics - An Open Introduction. https://discrete.openmathbooks.org/more/mdm/sec_planar.html

  • First published the Euler’s Formula for Exponential and Trigonometric Functions

    Euler's Formula. (n.d.). Princeton Math. https://web.math.princeton.edu/~nelson/104/euler.pdf

  • Euler’s Formula for Polyhedra

    Euler's Formula For Polyhedra. (n.d.). BYJU'S. https://byjus.com/maths/eulers-formula-for-polyhedra/

  • Adriene-Marie Legendre proved case 2(ii) for n=5 for Fermat’s theorem

  • Lejeune Dirichlet proved case 2(i) fro n=14 for Fermat’s theorem

  • Gabriel Lame proved n=7 for Fermat’s theorem

  • A connection was made between the Shimura-Taniyama-Weil Conjecture and Fermat’s Last Theorem

  • Computers solve up to n=4,000,000 for Fermat’s Theorem

  • Andrew Wiles presented a proof of the Shimura-Taniyama-Weil Conjecture but made a mistake which led him to a proof of Fermat’s last theorem