A new geometric proof of the result that for primitive Pythagorean triples:c is oddone of the legs is divisible by 4the other leg is odd.Conjectures that partition the set of primitive Pythagorean hypotenuses into two sets.Conjectures that try to examine the complexity of these two partitioning sets.

A new geometric proof of the result that for primitive Pythagorean triples: c is odd one of the legs is divisible by 4 the other leg is odd. Conjectures that partition the set of primitive Pythagorean hypotenuses into two sets. Conjectures that try to examine the complexity of these two partitioning sets.

Simple Geometric Proof of a Classic result as well as some Conjectures for Pythagorean Triples

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods.This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about.The podcast also contains episodes on new material and some conjectures.

Science

Mathematics

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods. This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about. The podcast also contains episodes on new material and some conjectures.

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Simple Geometric Proof of a Classic result as well as some Conjectures for Pythagorean Triples

Simple Geometric Proof of a Classic result as well as some Conjectures for Pythagorean Triples