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  • Video 
    微積分基本定理(一)

    微積分基本定理(一)

    課程簡介：微分表切線斜率，積分表曲線下圍出的面積，兩截然不同的東西透過微積分基本定理連結在一起。

    Course related:
    AMA1007 Calculus and Linear Algebra
    Subjects:
    Mathematics and Statistics
    Keywords:
    Calculus
    Resource Type:
    Video
     
  • Video 
    What's So Sexy about Math?

    What's So Sexy about Math?

    Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cédric Villani speaks to the thrill of discovery and details the sometimes perplexing life of a mathematician. "Beautiful mathematical explanations are not only for our pleasure," he says. "They change our vision of the world."

    Subjects:
    Mathematics and Statistics
    Keywords:
    Mathematics
    Resource Type:
    Video
     
  • Video 
    This Company Pays Kids To Do Their Math Homework

    This Company Pays Kids To Do Their Math Homework

    Mohamad Jebara loves mathematics -- but he's concerned that too many students grow up thinking that this beautiful, rewarding subject is difficult and boring. His company is experimenting with a bold idea: paying students for completing weekly math homework. He explores the ethics of this model and how it's helping students -- and why learning math is crucial in the era of fake news.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Mathematics -- Study teaching
    Resource Type:
    Video
     
  • Video 
    The paradox at the heart of mathematics: Gödel's Incompleteness Theorem

    The paradox at the heart of mathematics: Gödel's Incompleteness Theorem

    Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Incompleteness theorems Gödel's theorem
    Resource Type:
    Video
     
  • Video 
    The Unexpected Math of Origami

    The Unexpected Math of Origami

    Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Origami -- Mathematics
    Resource Type:
    Video
     
  • Video 
    The Surprising Math of Cities And Corporations

    The Surprising Math of Cities And Corporations

    Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In this mind-bending talk from TEDGlobal he shows how it works and how similar laws hold for organisms and corporations.

    Subjects:
    Environmental Engineering and Mathematics and Statistics
    Keywords:
    Cities towns -- Growth -- Econometric models Sustainable urban development
    Resource Type:
    Video
     
  • Video 
    The Mathematics of War

    The Mathematics of War

    By analyzing raw data on violent incidents in the Iraq war and others, Sean Gourley and his team claim to have found a surprisingly strong mathematical relationship linking the fatality and frequency of attacks.

    Subjects:
    Mathematics and Statistics
    Keywords:
    War -- Mathematical models
    Resource Type:
    Video
     
  • Video 
    The Mathematics of Love

    The Mathematics of Love

    Finding the right mate is no cakewalk -- but is it even mathematically likely? In a charming talk, mathematician Hannah Fry shows patterns in how we look for love, and gives her top three tips (verified by math!) for finding that special someone.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Mathematical statistics Online dating
    Resource Type:
    Video
     
  • Video 
    The Mathematics of History

    The Mathematics of History

    What can mathematics say about history? According to TED Fellow Jean-Baptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.

    Subjects:
    Mathematics and Statistics
    Keywords:
    History -- Mathematical models
    Resource Type:
    Video
     
  • Video 
    The Mathematician Who Cracked Wall Street

    The Mathematician Who Cracked Wall Street

    Jim Simons was a mathematician and cryptographer who realized: the complex math he used to break codes could help explain patterns in the world of finance. Billions later, he's working to support the next generation of math teachers and scholars. TED's Chris Anderson sits down with Simons to talk about his extraordinary life in numbers.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Stocks -- Mathematical models Simons James Harris Mathematics -- Study teaching
    Resource Type:
    Video