Joseph Fourier, the Heat Equation and the Age of the Earth

Joseph Fourier, the Heat Equation and the Age of the Earth

Joseph Bennish, Professor Emeritus of California State University, Long Beach, joins us for an excursion into physics and some of the mathematics it inspired. Joseph Fourier straddled mathematics and physics. Here we focus on his heat equation, based on partial differential equations. Partial differential equations have broad applications. Fourier developed not only the heat equation but also a way to solve it. This equation was used to answer, among other questions, the issue of the age of the earth. Was the earth too young to make Darwin's theory credible?

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Jaksot(79)

Zeno's Paradox: Is Motion Possible?

Zeno's Paradox: Is Motion Possible?

Josh Cole discussed Zeno's paradox that says motion is not possible since you must go half-way, and then half of the remaining distance, and so on, infinitely. Aristotle and others struggled with this...

22 Heinä 15min

The Most Beautiful Formula

The Most Beautiful Formula

Joseph Bennish discusses Euler’s formula, which involves pi, e, the imagery i, 0 and 1, a beautiful formula that unites disparate types of numbers. We can think of e raised to an exponent as compound ...

27 Kesä 16min

Math as it Should Be

Math as it Should Be

Aris Winger, Math Professor and Executive Director of the National Association of Mathematicians, has experienced first hand how math can save students' lives by uplifting them. Our education system c...

27 Touko 17min

Crocheting Mathematics

Crocheting Mathematics

Beyza Aslan, Associate Professor of Math at the University of North Florida, crochets mathematics. This turns abstractions, such as hyperbolic geometry, into something that can be touched, felt, manip...

22 Huhti 12min

Pythagorean Triples and Some New Conjectures

Pythagorean Triples and Some New Conjectures

Ben Cornish, host of The Mathematicians Podcast, discusses Pythagorean triples, integers that can be the sides of a right triangle. There are infinitely many primitive triples, as he proves. This conc...

25 Maalis 20min

Proofs and Buckets of Fish

Proofs and Buckets of Fish

Joel David Hamkins, author of Proof and the Art of Mathematics, presents the game Buckets of Fish, which seemingly will go on forever. Yet he presents a proof that it will always come to an end. In fa...

25 Helmi 15min

Fractals: Simple rules, complex shapes

Fractals: Simple rules, complex shapes

Krystal Taylor, Associate Professor of Mathematics at Ohio State University, discussed the surprising characteristics of fractals, "infinity in a box." They may have fractional dimension, which varies...

28 Tammi 14min

The Many Facets of Math

The Many Facets of Math

Alon Amit addresses the various facets of mathematics. Is it an art or a science? Both? Neither? Is it invented or discovered? Why is math that's developed for purely aesthetic reasons so often a usef...

23 Huhti 202515min

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