Leonardo Fibonacci: The Genius Who Brought the Light of Mathematics to Medieval Europe
Categories
192 pages
Mathematics
Pythagoras: The Intersection of Mathematics and Mysticism
The Genius of Ancient Greece: Life and Mathematical Achievements of Archimedes
Basics of Graph Theory: Representing Networks with Points and Lines, an Essential Tool in Modern Society
Inclusion-Exclusion Principle: A Powerful Technique for Correctly Counting Elements in Overlapping Sets
Markov Chains: 'Future Depends Only on the Present' Mathematics of State Transitions
Permutations, Combinations, and the Binomial Theorem: The Beautiful Regularity of Numbers Seen in Pascal's Triangle
Random Walk: Understanding the Mathematics of Diffusion and Brownian Motion from the Drunkard's Walk
Affine and Projective Transformations: The Fusion of Linear Algebra and Geometry behind CG and Perspective
Bayes' Theorem: Conditional Probability, a Medical-Test Example, and Four AI Applications
Diverse Proofs of the Pythagorean Theorem: From Geometry and Algebra to Einstein
Euler's Polyhedron Formula: The Magic of Topology Shown by V - E + F = 2
The Möbius Strip and Klein Bottle: A Fascinating World of Surfaces with No 'Inside' or 'Outside'
Fermat's Little Theorem: The Nature of Primes and the Foundation of Modern Cryptography (RSA)
Fundamental Theorem of Algebra: Proof That an n-th Degree Equation Always Has n Complex Roots
Groups, Rings, and Fields: An Introduction to Modern Algebra Abstracting 'Structure' Itself
Pell's Equation: The Charm of Diophantine Equations with Infinite Solutions and Continued Fractions
The Euclidean Algorithm: Fast GCD Calculation and Humanity's Oldest Algorithm from Antiquity
Cayley-Hamilton Theorem: The Wondrous Property of a Matrix Satisfying Its Own Characteristic Equation
Diagonalization and Jordan Normal Form: The Ultimate Classification Method for Expressing Complex Matrices Simply
