The Art of Mathematics

The Art of Mathematics

Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.

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Episoder(79)

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 ...

22 Mar 202317min

The Ten Most Important Theorems in Mathematics, Part II

The Ten Most Important Theorems in Mathematics, Part II

Jim Stein, Professor Emeritus of CSULS, returns to complete his (admittedly subjective) list of the ten greatest math theorems of all time, with fascinating insights and anecdotes for each. Last time ...

22 Feb 202315min

The Ten Most Important Theorems in Mathematics, Part I

The Ten Most Important Theorems in Mathematics, Part I

Jim Stein, Professor Emeritus of CSULB, presents his very subjective list of what he believes are the ten most important theorems, with several runners up. These theorems cover a broad range of mathem...

25 Jan 202325min

Surprisingly Better than 50-50

Surprisingly Better than 50-50

Jim Stein, Professor Emeritus of California State University Long Beach, discusses some bets that appear to be 50-50, but can have better odds with a tiny amount of seemingly useless information. Blac...

28 Des 202218min

Fascinating Fractals

Fascinating Fractals

Jeanne Lazzarini joins us again to discuss fractals, a way to investigate the roughness that we see in nature, as opposed to the smoothness of standard mathematics. Fractals are built of iterated patt...

23 Nov 202221min

Approximation by Rationals: A New Focus

Approximation by Rationals: A New Focus

Joseph Bennish, Prof. Emeritus of CSULB, describes the field of Diophantine approximation, which started in the 19th Century with questions about how well irrational numbers can be approximated by rat...

26 Okt 202221min

Tessellations

Tessellations

Jeanne Lazzarini, a math education specialist, returns to discuss tessellations and tiling in the works of Escher, Penrose, ancient artists and nature. We go beyond the familiar square or hexagonal ti...

28 Sep 202220min

Rational, Irrational and Transcendental Numbers

Rational, Irrational and Transcendental Numbers

Joseph Bennish returns to take us beyond the rational numbers we usually use to numbers that have been given names that indicate they're crazy or other-worldly. The Greeks were shocked to discover irr...

24 Aug 202221min

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