Fibonacci Numbers

 

 


 

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May 22nd 2017

This is a course about the Fibonacci numbers, the golden ratio, and their intimate relationship. In this course, we learn the origin of the Fibonacci numbers and the golden ratio, and derive a formula to compute any Fibonacci number from powers of the golden ratio.

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May 8th 2017

Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed. In the first part of our course we will be dealing with elementary combinatorial objects and notions: permutations, combinations, compositions, Fibonacci and Catalan numbers etc. In the second part of the course we introduce the notion of generating functions and use it to study recurrence relations and partition numbers.

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Self Paced Course - Start anytime

The course gives an introduction to discrete mathematical techniques and their applications.

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Self Paced Course - Start anytime

The course gives an introduction to discrete mathematical techniques and their applications.

No votes yet