What Is A Pattern? The Art Of Mathematics podcast

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Science Math Carol Jacoby

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Προστέθηκε πριν από thirty-five εβδομάδες

Το περιεχόμενο παρέχεται από το Carol Jacoby. Όλο το περιεχόμενο podcast, συμπεριλαμβανομένων των επεισοδίων, των γραφικών και των περιγραφών podcast, μεταφορτώνεται και παρέχεται απευθείας από τον Carol Jacoby ή τον συνεργάτη της πλατφόρμας podcast. Εάν πιστεύετε ότι κάποιος χρησιμοποιεί το έργο σας που προστατεύεται από πνευματικά δικαιώματα χωρίς την άδειά σας, μπορείτε να ακολουθήσετε τη διαδικασία που περιγράφεται εδώ https://el.player.fm/legal.

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The Vanished

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Lost on Route 66: The Disappearance of Diana Hayes 6:47

πριν 5 weeks6:47

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6:47

Was she the victim of foul play, an accident, or did she choose to disappear? In this episode of The Vanished, we retrace Diana’s last known movements, strange witness accounts, and the lingering mystery that has never been solved or.. was never meant to be solved.

The Art of Mathematics « »
What is a Pattern?

πριν περίπου ένα χρόνο 12:46

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MP3•Αρχική οθόνη επεισοδίου

Το περιεχόμενο παρέχεται από το Carol Jacoby. Όλο το περιεχόμενο podcast, συμπεριλαμβανομένων των επεισοδίων, των γραφικών και των περιγραφών podcast, μεταφορτώνεται και παρέχεται απευθείας από τον Carol Jacoby ή τον συνεργάτη της πλατφόρμας podcast. Εάν πιστεύετε ότι κάποιος χρησιμοποιεί το έργο σας που προστατεύεται από πνευματικά δικαιώματα χωρίς την άδειά σας, μπορείτε να ακολουθήσετε τη διαδικασία που περιγράφεται εδώ https://el.player.fm/legal.

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious or completely untrue. We explore the spectrum of pattern-ness from simple repetition to total randomness and finally answer the question about pi. We also discuss analogy, which powers mathematical exploration.

… continue reading

70 επεισόδια

#Science #Math #Carol Jacoby

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What is a Pattern?

The Art of Mathematics

13 subscribers

published πριν περίπου ένα χρόνο

Μοίρασέ το

MP3•Αρχική οθόνη επεισοδίου

Το περιεχόμενο παρέχεται από το Carol Jacoby. Όλο το περιεχόμενο podcast, συμπεριλαμβανομένων των επεισοδίων, των γραφικών και των περιγραφών podcast, μεταφορτώνεται και παρέχεται απευθείας από τον Carol Jacoby ή τον συνεργάτη της πλατφόρμας podcast. Εάν πιστεύετε ότι κάποιος χρησιμοποιεί το έργο σας που προστατεύεται από πνευματικά δικαιώματα χωρίς την άδειά σας, μπορείτε να ακολουθήσετε τη διαδικασία που περιγράφεται εδώ https://el.player.fm/legal.

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious or completely untrue. We explore the spectrum of pattern-ness from simple repetition to total randomness and finally answer the question about pi. We also discuss analogy, which powers mathematical exploration.

… continue reading

70 επεισόδια

#Science #Math #Carol Jacoby

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The National Museum of Mathematics 17:52

πριν 10 μέρες17:52

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Cindy Lawrence is the Director and CEO of the National Museum of Mathematics in New York City. She and a former math professor built it up from a grass-roots museum started by math teachers. The Museum, soon to move into a 30,000 square foot space, appeals to both those who love and hate math. Attendees learn that math is beautiful, fun, and surprising--"That's so cool!"…

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Contemporary Math Research for Artistic Undergrads 14:13

πριν 6 weeks14:13

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14:13

Veselin Jungic, teaching professor of mathematics at Simon Fraser University, introduces undergraduate math minors to contemporary math research. The focus is Ramsey theory, an area of current research activity that brings together multiple areas of math, deals with big ideas, proves complete chaos is impossible, and is built on human stories. Some students extended or corrected ongoing research. Others used their artistic talents to express the patterns of mathematics through, for example, a graphic novel or a poem.…

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Where do Math Concepts Come From? 20:37

πριν 10 weeks20:37

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20:37

Joseph Bennish discusses math as a "concept factory." The concept of prime numbers came from a desire to break numbers down to their simplest atoms. This simple concept led to simple questions like the twin prime conjecture that no one has been able to answer. Those questions in turn led to deep research. The concepts of new geometries grew out of failed attempts to prove that Euclid's geometry was the only geometry. Gauss' "most wonderful theorem" of surfaces led to Riemann's higher dimensional manifolds. This, combined with Minkowski's space-time geometry, led to Einstein's relativity, "the most beautiful theory of physics."…

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A Clockmaker, an Egg, and a Cathedral 14:02

πριν 14 weeks14:02

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14:02

Jeanne Lazzarini tells us how a clockmaker used an egg to win the competition to build the dome of the Florence Cathedral. The Cathedral had had a huge gaping hole for a hundred years since no one knew how to build such a large dome. His solution involved the equation for a hanging chain and parallel lines that meet.…

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What is a Pattern? 12:46

πριν 19 weeks12:46

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12:46

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious or completely untrue. We explore the spectrum of pattern-ness from simple repetition to total randomness and finally answer the question about pi. We also discuss analogy, which powers mathematical exploration.…

Artwork

1
What's the Big Deal about Pi? 17:36

πριν 23 weeks17:36

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17:36

Alon Amit joins us on the antipode of Pi Day to counter the myths and mysteries of this most famous irrational number. There's nothing magical about a non-repeating string of digits. The real and profound mystery is the ubiquity of pi. It shows up in places that have nothing to do with circles, such as the sum of the reciprocals of the squares of the integers and the normal bell-shaped curve.…

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Turning Math-Hating Prisoners into Mathematicians 22:14

πριν 27 weeks22:14

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22:14

Kate Pearce, a post-doc researcher at UT Austin, talks about her experience teaching math in a women's prison. Her remedial college algebra students came in with negative experience in math, so she devised ways to make the topics new. The elective class called, coincidentally, The Art of Mathematics, explored parallels between math and art, infinity, algorithms, formalism, randomness and more. The students learned to think like mathematicians and gained confidence in their abilities in abstract problem solving.…

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Stop Overselling Mathematics 17:20

πριν 32 weeks17:20

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17:20

Alon Amit, prolific Quora math answerer, argues that an honest representation of mathematical ideas is enough to spark interest in math. It's not necessary to exaggerate the role of math; the golden ratio does not drive the stock market, the solution of the Riemann hypothesis will not kill cryptography, and Grothendieck did not advance robotics. History and seeing the thought process and the struggle behind the tight finished proof are ways to make math compelling.…

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Math for Kids: It's not a Spectator Sport 21:52

πριν 36 weeks21:52

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21:52

Dave Cole, the author of the Math Kids series of books, talks about introducing kids to math as a fun challenge and puzzle beyond the rote memorization they've come to expect. Kids who like to read are enticed by puzzles and mysteries. Möbius strips, Pascal's triangle, and other concepts that are new to them, make them marvel, "Is this math?" They see patterns and learn to make and even prove conjectures.…

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Egyptian Fractions 17:21

πριν 41 weeks17:21

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17:21

Neil Epstein, Associate Professor of Mathematics at George Mason University, introduces us to the fractions used by the ancient Egyptians, well before the Greeks and Romans. The Egyptian fractions all had a unit numerator. They could represent any fraction as a sum of unique unit fractions, a fact that was not proved until centuries later. These sums inspired conjectures, one of which was proved only recently, while others remain unsolved to this day. Recent work extends these concepts beyond fractions of integers. Human heritage goes way back, but is still inspiring modern research.…

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Da Vinci's Math Teacher: Merging the Practical and Theoretical 16:46

πριν 45 weeks16:46

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16:46

Jeanne Lazzarini joins us again to introduce us to the mathematician Luca Pacioli, whose views of numbers and shapes influenced Leonardo da Vinci, leading to a period of art and invention. His book, De Divina Proportione, is the only book ever illustrated by da Vinci. The Renaissance was a period when mathematicians studied art and artists studied mathematics. As da Vinci said, "Everything connects."…

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Alon Amit, sharing the mathematical journey in Quora and Math Circles 20:26

πριν 49 weeks20:26

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20:26

Alon Amit, probably the most prolific answerer of math questions on Quora, shares his reasons for his deep involvement. He seeks to share the journey, the exploration and stumbles of solving a problem. He's especially drawn to questions that will teach him things, even if he never completes the answer. He also shares his joy of problem solving with kids through Math Circles. One example problem, involving only 4 dots, can be worked on by a young child, yet affords deep exploration.…

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Too Much Math in the Schools? These Books Counter That Narrow View 20:59

πριν 1 year20:59

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20:59

Lee Kraftchick continues his tour of books about math written for the non-mathematician like himself. We also can't let go of Gödel Escher Bach. Lee cites an opinion piece in the Washington Post, titled, "The Problem with Schools Today is Too Much Math," which gives a very narrow view of what math is. He counters it with a response (see theartofmathematicspodcast.com) and more books that demonstrate that math provides "pleasures which all the arts afford." He also discusses books about math and the real world and compilations of the broad range of mathematics.…

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Books for the Mathematical Tourist 20:41

πριν 1 year20:41

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20:41

Lee Kraftchick discusses some of his favorite books for non-mathematicians to explore the breadth of mathematics. These books range from very old to current. Some discuss beautiful proofs, whether math is invented or discovered, and how to think. Lee and Carol agree on the number one greatest book for mathematicians and non-mathematicians alike. See the full list at theartofmathematicspodcast.com.…

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Reflecting on Kaleidoscopes 20:18

πριν 1 year20:18

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20:18

Jeanne Lazzarini talks about kaleidoscopes and the mathematics that makes them work. This "beautiful form watcher" uses the laws of reflection to make ever-changing repeated symmetries. The use of more mirrors, rectangles, cylinders or pyramids create even more complex patterns.

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