Combinatorics - Math History - NJ Wildberger
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.
Generating Functions and Combinatorial Identities
Explore techniques for manipulating generating functions to create new combinatorial sum identities, with an application to Fibonacci number sums.
Discrete Calculus - My Favorite Topic for a Student Seminar Talk
Explore discrete calculus through derivatives, antiderivatives, and fundamental theorems. Learn power rules, exponential functions, and Fibonacci numbers in this engaging mathematical seminar.
Way Beyond the Golden Ratio - The Power of AB=A+B
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.
Learn to Program 7: Recursive Functions and Dictionaries
Explore recursive functions and dictionaries in Python, including practical examples like generating factorials and Fibonacci numbers to demystify these advanced programming concepts.
Introduction to Recursion - Learn in the Best Way
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.
Greatest Common Divisor of Fibonacci Numbers
Explore the fascinating relationship between Fibonacci numbers and their greatest common divisors through a rigorous mathematical proof and analysis.
An Infinite Product Involving Fibonacci Numbers
Explore closed forms of Fibonacci numbers and discover the value of an intriguing infinite product involving this famous sequence.
Catalan's Identity for Fibonacci Numbers
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.
The Mathemagician - Arthur Benjamin
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.
JavaScript is Literature is JavaScript
Explore JavaScript's literary side through creative coding exercises inspired by famous authors, blending programming concepts with literary styles.
On Diophantine Equations Related to Fibonacci Numbers
Explore the mathematical relationships between Diophantine equations and Fibonacci numbers in this advanced number theory presentation from the Brazilian Workshop in Analytic Number Theory.
Anchored Symplectic Embeddings and Non-Squeezing Phenomena in Four Dimensions
Delve into advanced symplectic geometry, exploring non-squeezing phenomena, Markov numbers, and the relationship between symplectic embeddings and surface anchors in four-dimensional spaces.