Skip to main content

Konigsberg bridge problem - A Documentary

 You'd have a hard time finding Königsberg on any modern maps, but one particular quirk in its geography has made it one of the most famous cities in mathematics. 


View Documentary from here 👉






The medieval German city lay on both sidesof the Pregel River. At the center were two large islands. The two islands were connected to each other and to the river banks by seven bridges.

Carl Gottlieb Ehler, a mathematician wholater became the mayor of a nearby town, grew obsessed with these islands and bridges. 

He kept coming back to a single question: Which route would allow someoneto cross all seven bridges without crossing any of them more than once? Think about it for a moment.

You should Give up. 

 It's not possible. 

But attempting to explain why, famous mathematician Leonhard Euler to invent a new field of mathematics. 

Carl wrote to Euler for helpwith the problem. The answer he came up with had to do with a type of geometry that did not quite exist yet,what he called the Geometry of Position, now known as Graph Theory.



Konigsberg bridge problem - A Documentary






Comments

Popular posts from this blog

Python: the language of future

Python is an easy to learn, powerful programming language. It has efficient high-level data structures and a simple but effective approach to object-oriented programming.

A python approach to GOLDBACH’S CONJESTURE

Goldbach’s conjecture On 7 June 1742, the German mathematician Christian Goldbach wrote a letter to Leonhard Euler, in  which he proposed the following conjecture. Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics.  Every  even integer greater than 2 can be expressed as the sum of two primes What is a conjecture ?😕😕😕 A Conjecture is a conclusion or proposition based on incomplete information, for which no proof or disproof has yet been found. Goldbach number A Goldbach number is a positive even integer that can be expressed as the sum of two odd primes.  Since 4 is the only even number greater than 2 that requires the even prime 2 in order to be written as the sum of two primes, another form of the statement of Goldbach’s conjecture is that all even integers greater than 4 are goldbach numbers. The conjecture has been shown to hold for all integers less than 4⨯〖10〗^18, but remains unproven considera...

Dichotomy Paradox

Zeno of Elea, an ancient Greek philosopher famous for inventing a number of paradoxes, arguments that seem logical, but whose conclusion is absurd or contradictory.  For more than 2,000 years, Zeno's mind-bending riddles have inspired mathematicians and philosophers to better understand the nature of infinity.  One of the best known of Zeno's problems is called the Dichotomy Paradox , which means, " the paradox of cutting in two " in ancient Greek.  It goes something like this: After a long day of sitting around, thinking, Zeno decides to walk from his house to the park. The fresh air clears his mind and help him think better.  In order to get to the park, he first has to get half way to the park. This portion of his journey takes some finite amount of time. Once he gets to the halfway point, he needs to walk half the remaining distance. Again, this takes a finite amount of time. Once he gets there, he still needs to walk half the distance that's left, which take...