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Math History


  • 55:48 MathHistory17: Topology

    MathHistory17: Topology

    by Admin Added 18 Views / 0 Likes

    This video is the last in this series on the History of Mathematics, and gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Euler characteristic of a polyhedron, al

  • 54:08 MathHistory4: Infinity in Greek mathematics

    MathHistory4: Infinity in Greek mathematics

    by Admin Added 34 Views / 0 Likes

    We discuss primarily the work of Eudoxus and Archimedes, the founders of calculus. Archimedes in particular discovered formulas that are only found in advanced calculus courses, concerning the relations between the volumes and surface areas of a sphere an

  • 56:35 MathHistory7a: Analytic geometry and the continuum

    MathHistory7a: Analytic geometry and the continuum

    by Admin Added 31 Views / 0 Likes

    The development of Cartesian geometry by Descartes and Fermat was one of the main accomplishments of the 17th century, giving a computational approach to Euclidean geometry. Involved are conics, cubics, Bezout's theorem, and the beginnings of a projective

  • 52:27 Galileo Galilei Theories ( HD Documentary )

    Galileo Galilei Theories ( HD Documentary )

    by Admin Added 40 Views / 0 Likes

    Galileo Galilei Theories ( Documentary )... 2013 This documentary and the rest of the documentaries presented relate to important times and figures in history, historic places and sites, archaeology, science, conspiracy theories, and education. The Topics

  • 51:03 MathHistory11: Mechanics and the solar system

    MathHistory11: Mechanics and the solar system

    by Admin Added 30 Views / 0 Likes

    The main historical problem in the history of science is: to explain what is going on with the night sky, in particular what the planets are doing. The resolution of this was the greatest achievement of the 17th century. The key figures were Copernicus, G

  • 48:55 MathHistory1a: Pythagoras' theorem

    MathHistory1a: Pythagoras' theorem

    by Admin Added 33 Views / 0 Likes

    Pythagoras' theorem is both the oldest and the most important non-trivial theorem in mathematics.This is the first part of the first lecture of a short course on the History of Mathematics, by N J Wildberger at UNSW (MATH3560 and GENS2005). We will follow

  • 51:32 MathHistory16: Differential Geometry

    MathHistory16: Differential Geometry

    by Admin Added 23 Views / 0 Likes

    Differential geometry arises from applying calculus and analytic geometry to curves and surfaces. This video begins with a discussion of planar curves and the work of C. Huygens on involutes and evolutes, and the related notions of curvature and osculatin

  • 24:41 MathHistory3b: Greek number theory (cont.)

    MathHistory3b: Greek number theory (cont.)

    by Admin Added 39 Views / 0 Likes

    The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural number could be factored into primes in essentially a unique way. We also discuss the Euclidean algorit

  • 14:06 MathHistory6b: Polynomial equations (cont.)

    MathHistory6b: Polynomial equations (cont.)

    by Admin Added 53 Views / 0 Likes

    We now move to the Golden age of European mathematics: the period 1500-1900 in this course on the History of Mathematics. We discuss hurdles that the Europeans faced before this time and how they emerged, with the help of Arab algebra and translations of

  • 1:11:01 MathHistory10: Infinite series

    MathHistory10: Infinite series

    by Admin Added 17 Views / 0 Likes

    We discuss various uses of infinite series in the 17th and 18th centuries. In particular we look at the geometric series, power series of log, the Gregory-Newton interpolation formula, Taylor's formula, the Bernoulli's, Eulers summation of the reciprocals

  • 52:41 Archimedes Lost Book

    Archimedes Lost Book

    by Admin Added 29 Views / 0 Likes

    Archimedes of Syracuse (c. 287 BC -- c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Among his advances in physics are the foundations of hydrostatics, statics and an explanation of the principle of the l

  • 1:07:16 MathHistory15: Complex numbers and algebra

    MathHistory15: Complex numbers and algebra

    by Admin Added 26 Views / 0 Likes

    Complex numbers of the form a+bi are mostly introduced these days in the context of quadratic equations, but according to Stillwell cubic equations are closer to their historical roots. We show how the cubic equation formula of del Ferro, Tartaglia and Ca

  • 42:04 MathHistory3a: Greek number theory

    MathHistory3a: Greek number theory

    by Admin Added 35 Views / 0 Likes

    The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural number could be factored into primes in essentially a unique way. We also discuss the Euclidean algorit

  • 52:41 MathHistory6a: Polynomial equations

    MathHistory6a: Polynomial equations

    by Admin Added 38 Views / 0 Likes

    We now move to the Golden age of European mathematics: the period 1500-1900, in this course on the History of Mathematics. We discuss hurdles that the Europeans faced before this time and how they emerged, with the help of Arab algebra and translations of

  • 1:00:00 MathHistory9: Calculus

    MathHistory9: Calculus

    by Admin Added 25 Views / 0 Likes

    Calculus has its origins in the work of the ancient Greeks, particularly of Eudoxus and Archimedes, who were interested in volume problems, and to a lesser extent in tangents. In the 17th century the subject was widely expanded and developed in an algebra

  • 45:19 Man, Myth, Mathematician - Pythagoras of Samos - Genius

    Man, Myth, Mathematician - Pythagoras of Samos - Genius

    by Admin Added 46 Views / 0 Likes

    http://samos-magazine.nl - The story of Pythagoras is one of innovation, change, determination and sheer genius. As an accurate picture of his life emerges, it is clear that there was more to this great man than one single, simple truth -- here was a grea

  • 57:51 MathHistory14: Mechanics and curves

    MathHistory14: Mechanics and curves

    by Admin Added 18 Views / 0 Likes

    The laws of motion as set out by Newton built upon work of Oresme, Galileo and others on dynamics, and the relations between distance, velocity and acceleration in trajectories. With Newton's laws and the calculus, a whole new arena of practical and theor

  • 24:40 MathHistory2b: Greek geometry (cont.)

    MathHistory2b: Greek geometry (cont.)

    by Admin Added 31 Views / 0 Likes

    The ancient Greeks loved geometry and made great advances in this subject. Euclid's Elements was for 2000 years the main text in mathematics, giving a careful systematic treatment of both planar and three dimensional geometry, culminating in the five Plat

  • 22:53 MathHistory5b: Number theory and algebra in Asia (cont.)

    MathHistory5b: Number theory and algebra in Asia (cont.)

    by Admin Added 34 Views / 0 Likes

    After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory

  • 1:09:41 MathHistory8: Projective geometry

    MathHistory8: Projective geometry

    by Admin Added 35 Views / 0 Likes

    Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is the geometry of the straightedge, and it is the simplest and most fundamental geometry. We descri

  • 24:44 Leibniz Vs Newton - The Story of Calculus

    Leibniz Vs Newton - The Story of Calculus

    by Admin Added 29 Views / 0 Likes

    The calculus controversy was an argument between 17th-century mathematicians Isaac Newton and Gottfried Leibniz over who had first invented calculus. It is a question that had been the cause of a major intellectual controversy, one that began simmering in

  • 57:12 MathHistory13: The number theory revival

    MathHistory13: The number theory revival

    by Admin Added 17 Views / 0 Likes

    After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the connection between the Binomial theorem and combinatorics, and then in the 17th century the topic was

  • 50:41 MathHistory2a: Greek geometry

    MathHistory2a: Greek geometry

    by Admin Added 35 Views / 0 Likes

    The ancient Greeks loved geometry and made great advances in this subject. Euclid's Elements was for 2000 years the main text in mathematics, giving a careful systematic treatment of both planar and three dimensional geometry, culminating in the five Plat

  • 49:46 MathHistory5a: Number theory and algebra in Asia

    MathHistory5a: Number theory and algebra in Asia

    by Admin Added 39 Views / 0 Likes

    After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory

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