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Video
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
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Video
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
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Video
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
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Video
Physicist Werner Heisenberg said, "When I meet God, I am going to ask him two questions: why relativity? And why turbulence? I really believe he will have an answer for the first." As difficult as turbulence is to understand mathematically, we can use art to depict the way it looks. Natalya St. Clair illustrates how Van Gogh captured this deep mystery of movement, fluid and light in his work.
- Subjects:
- Physics
- Keywords:
- Turbulence Starry night (Gogh Vincent van)
- Resource Type:
- Video
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Video
Vanessa Ruiz takes us on an illustrated journey of human anatomical art over the centuries, sharing captivating images that bring this visual science -- and the contemporary artists inspired by it -- to life. "Anatomical art has the power to reach far beyond the pages of a medical textbook," she says, "connecting our innermost selves with our bodies through art."
- Keywords:
- Medicine art Medical illustration
- Resource Type:
- Video
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Video
Whether or not you realize it, surfers are masters of complicated physics. The science of surfing begins as soon as a board first hits the water. Surfers may not be thinking about weather patterns in the Pacific, tectonic geology or fluid mechanics, but the art of catching the perfect wave relies on all these things and more. Nick Pizzo dives into the gnarly physics that make surfing possible.
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Video
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
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Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- History Bourbaki Nicolas Functions
- Resource Type:
- Video
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Others
Built on the widest range of trusted, high-quality, interdisciplinary research and scholarly literature, ScienceDirect helps uncover answers to the world’s most pressing questions. Whether you’re a teacher, student, librarian or researcher, ScienceDirect will help you build a solid knowledge foundation, stay on top of your field and gain in-depth insights into trending topics as you take your next steps in discovery. Physical Sciences & Engineering publications cover a range of disciplines, from the theoretical to the applied. Health Sciences collections — covering education, reference information and decision support — keep you up-to-date on medical developments to stimulate research and improve patient care. Life Sciences journal articles and book chapters feature original research, insightful analysis, current theory and more. Social Sciences & Humanities journals and books highlight historical context, current developments, theories, applications, trends and more.
- Keywords:
- Science Medical sciences Life sciences Technology Social sciences Physical sciences
- Resource Type:
- Others
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Courseware
In this course, we study some of the most important political revolutions that took place between the 17th century and today. We explore the causes of each revolution, analyze the ideologies that inspired the revolutionaries, examine revolutionary uses of violence, and consider how historical revolutions still shape contemporary politics. Close and critical readings of historical sources are critical to this process.
- Subjects:
- History
- Keywords:
- Political science Revolutions
- Resource Type:
- Courseware
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