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#Fibonacci Numbers

Showing: 13 courses
Insights into Mathematics

Combinatorics - Math History - NJ Wildberger

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Explore combinatorics through historical examples, counting problems, graph theory, and generating functions. Delve into partitions, Fibonacci numbers, Catalan sequence, and famous theorems in this engaging mathematical journey.
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8 Lesons
41 minutes
On-Demand
Free-Video
Michael Penn

Generating Functions and Combinatorial Identities

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Explore techniques for manipulating generating functions to create new combinatorial sum identities, with an application to Fibonacci number sums.
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1 Lesons
24 minutes
On-Demand
Free-Video
Michael Penn

Discrete Calculus - My Favorite Topic for a Student Seminar Talk

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Explore discrete calculus through derivatives, antiderivatives, and fundamental theorems. Learn power rules, exponential functions, and Fibonacci numbers in this engaging mathematical seminar.
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13 Lesons
38 minutes
On-Demand
Free-Video
Mathologer

Way Beyond the Golden Ratio - The Power of AB=A+B

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Explore mathematical wonders beyond the golden ratio, including Steinbach's infinite family of counterparts, Fibonacci sequences, and geometric insights. Uncover hidden patterns and relationships in numbers and shapes.
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8 Lesons
50 minutes
On-Demand
Free-Video
Derek Banas

Learn to Program 7: Recursive Functions and Dictionaries

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Explore recursive functions and dictionaries in Python, including practical examples like generating factorials and Fibonacci numbers to demystify these advanced programming concepts.
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1 Lesons
21 minutes
On-Demand
Free-Video
Kunal Kushwaha

Introduction to Recursion - Learn in the Best Way

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Comprehensive tutorial on recursion, covering basics, visualization techniques, and best practices. Includes practical examples like Fibonacci numbers and binary search to master this fundamental programming concept.
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26 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Michael Penn

Greatest Common Divisor of Fibonacci Numbers

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Explore the fascinating relationship between Fibonacci numbers and their greatest common divisors through a rigorous mathematical proof and analysis.
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5 Lesons
24 minutes
On-Demand
Free-Video
Michael Penn

An Infinite Product Involving Fibonacci Numbers

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Explore closed forms of Fibonacci numbers and discover the value of an intriguing infinite product involving this famous sequence.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Catalan's Identity for Fibonacci Numbers

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Explore Catalan's identity for Fibonacci numbers through matrix properties, building on previous proofs of Cassini's and d'Ocagne's identities in this mathematical deep dive.
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1 Lesons
23 minutes
On-Demand
Free-Video
World Science Festival

The Mathemagician - Arthur Benjamin

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Arthur Benjamin demonstrates incredible feats of mental math, from squaring large numbers to determining dates, while sharing the secrets behind his skills in this captivating blend of mathematics and magic.
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8 Lesons
57 minutes
On-Demand
Free-Video
JSConf

JavaScript is Literature is JavaScript

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Explore JavaScript's literary side through creative coding exercises inspired by famous authors, blending programming concepts with literary styles.
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24 Lesons
24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On Diophantine Equations Related to Fibonacci Numbers

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Explore the mathematical relationships between Diophantine equations and Fibonacci numbers in this advanced number theory presentation from the Brazilian Workshop in Analytic Number Theory.
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1 Lesons
20 minutes
On-Demand
Free-Video
Institute for Advanced Study

Anchored Symplectic Embeddings and Non-Squeezing Phenomena in Four Dimensions

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Delve into advanced symplectic geometry, exploring non-squeezing phenomena, Markov numbers, and the relationship between symplectic embeddings and surface anchors in four-dimensional spaces.
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1 Lesons
1 hour
On-Demand
Free-Video