A farm boy hailed as a prince, a self-taught engineer, and two mathematicians dead before thirty force calculus and algebra to answer to proof instead of intuition.
0 / 27 LESSONS CONQUERED0%
TERRITORY BADGE
Champion of Rigour
Complete all 27 lessons to claim
The Path Through
builds on XIV · Calculus and Chance
Carl Friedrich Gauss: The Prince of Mathematics
Biography
L502
Sophie Germain: The Woman Who Defied Convention
Biography
L512
Gauss at Age 10: Summing 1 to 100 in Seconds
Arithmetic
L518
Disquisitiones Arithmeticae: Gauss Transforms Number Theory
Number Theory
L544
The Normal Distribution: Gauss's Bell Curve
Statistics
L545
Gauss's Contributions to Non-Euclidean Geometry
Geometry
L547
George Boole: The Laws of Thought
Biography
L559
Boolean Algebra: Math That Thinks
Logic
L560
Augustin-Louis Cauchy: Making Calculus Rigorous
Calculus
L562
The Epsilon-Delta Definition: What Limits Really Mean
Calculus
L563
Cauchy's Integral Theorem: Complex Analysis Begins
Calculus
L564
Germain Primes and Fermat's Last Theorem
Number Theory
L575
Evariste Galois: The Teenager Who Invented Group Theory
Biography
L576
Group Theory: The Mathematics of Symmetry
Algebra
L577
Why the Quintic Has No Formula: Galois Theory
Algebra
L578
Niels Henrik Abel: Another Tragic Genius
Biography
L579
Möbius and the Möbius Strip: One-Sided Surfaces
Geometry
L580
Non-Euclidean Geometry: Lobachevsky and Bolyai
Geometry
L581
Elliptic Geometry: Where No Parallels Exist
Geometry
L583
Jacobi and Elliptic Functions
Calculus
L588
Dirichlet: Rigorous Analysis and Number Theory
Biography
L589
The Dirichlet Distribution: Probability on Proportions
Probability
L590
The Fundamental Theorem of Arithmetic: Unique Prime Factorization
Number Theory
L596
Jacobi's Theta Functions and Modular Forms
Calculus
L597
The Cauchy-Schwarz Inequality: The Most Useful Inequality
Algebra
L598
Gauss and Constructible Polygons: A 17-Year-Old's Triumph
Geometry
L610
Dirichlet's Theorem: Primes in Arithmetic Progressions
Number Theory
L613
TERRITORY XV
Proof over Instinct
1801 - 1868
0 / 27 LESSONS0%
Builds on XIV · Calculus and Chance
Carl Friedrich Gauss: The Prince of Mathematics
Lesson 502
Sophie Germain: The Woman Who Defied Convention
Lesson 512
Gauss at Age 10: Summing 1 to 100 in Seconds
Lesson 518
Disquisitiones Arithmeticae: Gauss Transforms Number Theory
Lesson 544
The Normal Distribution: Gauss's Bell Curve
Lesson 545
Gauss's Contributions to Non-Euclidean Geometry
Lesson 547
George Boole: The Laws of Thought
Lesson 559
Boolean Algebra: Math That Thinks
Lesson 560
Augustin-Louis Cauchy: Making Calculus Rigorous
Lesson 562
The Epsilon-Delta Definition: What Limits Really Mean
Lesson 563
Cauchy's Integral Theorem: Complex Analysis Begins
Lesson 564
Germain Primes and Fermat's Last Theorem
Lesson 575
Evariste Galois: The Teenager Who Invented Group Theory
Lesson 576
Group Theory: The Mathematics of Symmetry
Lesson 577
Why the Quintic Has No Formula: Galois Theory
Lesson 578
Niels Henrik Abel: Another Tragic Genius
Lesson 579
Möbius and the Möbius Strip: One-Sided Surfaces
Lesson 580
Non-Euclidean Geometry: Lobachevsky and Bolyai
Lesson 581
Elliptic Geometry: Where No Parallels Exist
Lesson 583
Jacobi and Elliptic Functions
Lesson 588
Dirichlet: Rigorous Analysis and Number Theory
Lesson 589
The Dirichlet Distribution: Probability on Proportions
Lesson 590
The Fundamental Theorem of Arithmetic: Unique Prime Factorization
Lesson 596
Jacobi's Theta Functions and Modular Forms
Lesson 597
The Cauchy-Schwarz Inequality: The Most Useful Inequality
Lesson 598
Gauss and Constructible Polygons: A 17-Year-Old's Triumph
Lesson 610
Dirichlet's Theorem: Primes in Arithmetic Progressions