One Long Tail
TERRITORY XIV

Calculus and Chance

1701 - 1840
0 / 28 LESSONS0%
Builds on XIII · Euler's Century
Why Fourier Analysis Is Everywhere: MP3, JPEG, MRI
Lesson 508
Parseval's Theorem: Energy in Frequency Domain
Lesson 509
The Calculus of Variations: Optimizing Functions
Lesson 511
Lagrange Multipliers: Optimization with Constraints
Lesson 522
Simeon-Denis Poisson: The Distribution of Rare Events
Lesson 524
The Poisson Process: Events in Continuous Time
Lesson 525
Adrien-Marie Legendre: The Unsung Pioneer
Lesson 526
Euler's Identity: The Most Beautiful Equation
Lesson 529
The Konigsberg Bridges: Graph Theory Is Born
Lesson 530
Euler's Number e: The Base of Natural Growth
Lesson 531
Euler's Formula for Polyhedra: V - E + F = 2
Lesson 533
Euler's Phi Function: Counting Coprime Numbers
Lesson 535
Pierre-Simon Laplace: The French Newton
Lesson 537
Laplace and the Central Limit Theorem
Lesson 539
The Laplace Transform: Converting Calculus to Algebra
Lesson 540
Laplace's Probability: The Theorie Analytique
Lesson 541
Laplace's Rule of Succession: Predicting the Sun Rising
Lesson 542
Thomas Bayes: The Minister Who Changed How We Think
Lesson 549
Bayes' Theorem: Updating Beliefs with Evidence
Lesson 550
Richard Price: The Man Who Published Bayes
Lesson 551
Inverse Probability: Reasoning from Effects to Causes
Lesson 552
Why Bayes Was Ignored: 200 Years of Controversy
Lesson 553
Joseph Fourier: Any Signal Is a Sum of Waves
Lesson 554
The Fourier Series: Decomposing Functions into Frequencies
Lesson 555
The Heat Equation: Fourier's Original Problem
Lesson 556
Joseph-Louis Lagrange: Elegance Above All
Lesson 571
Lagrange's Four-Square Theorem
Lesson 573
Lagrange Interpolation: Reconstructing Functions from Points
Lesson 574