In Renaissance Italy mathematicians dueled in public tournaments over secret formulas for the cubic and quartic, and out of the fighting came new numbers, a new equals sign, and a new symbolic language for all of Europe.
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TERRITORY BADGE
Victor of the Algebra Duels
Complete all 26 lessons to claim
The Path Through
builds on VII · Crossing into Europe
Renaissance Italy: When Mathematics Became Competitive
Biography
L304
Why the Cubic Formula Uses Complex Numbers
Algebra
L306
Scipione del Ferro: The Secret Solution
Biography
L307
Imaginary Numbers: Born from the Cubic Formula
Algebra
L308
The Mathematical Tournament: del Ferro vs Fior vs Tartaglia
Biography
L309
Tartaglia: The Stammerer Who Conquered the Cubic
Biography
L310
Napier and Logarithms: Turning Multiplication into Addition
Arithmetic
L311
The Invention of the Equals Sign: Robert Recorde
Algebra
L313
Why Complex Numbers Are Really 2D Numbers
Algebra
L314
Luca Pacioli: Double-Entry Bookkeeping and Mathematics
Biography
L316
The Problem of the Cubic: Mathematics' Greatest Challenge
Algebra
L317
Cardano's Ars Magna: The Great Art of Algebra
Biography
L318
The Cubic Formula: Why It's So Much Harder Than the Quadratic
Algebra
L319
Ferrari: Solving the Quartic at Age 18
Algebra
L320
The Quintic Wall: Why Degree 5 Is Different
Algebra
L321
Bombelli: Taming Imaginary Numbers
Algebra
L322
Viete: Letters Instead of Numbers
Algebra
L323
Viete's Formulas: Roots and Coefficients Connected
Algebra
L324
Simon Stevin: The Decimal Revolution
Arithmetic
L326
Complex Numbers Emerge: √(-1) Gets a Name
Algebra
L360
Regiomontanus: Trigonometry Comes to Europe
Biography
L369
Harriot: Algebra Beyond Viete
Algebra
L371
The Birth of Negative Numbers in Europe
Algebra
L372
The Printing of Euclid: Mathematics' First Bestseller
Applied
L378
The Method of False Position: Solving Equations by Guessing
Algebra
L383
The Mathematical Workshop of Renaissance Florence
Applied
L388
TERRITORY VIII
Algebra Wars
1450 CE - 1630 CE
0 / 26 LESSONS0%
Builds on VII · Crossing into Europe
Renaissance Italy: When Mathematics Became Competitive
Lesson 304
Why the Cubic Formula Uses Complex Numbers
Lesson 306
Scipione del Ferro: The Secret Solution
Lesson 307
Imaginary Numbers: Born from the Cubic Formula
Lesson 308
The Mathematical Tournament: del Ferro vs Fior vs Tartaglia
Lesson 309
Tartaglia: The Stammerer Who Conquered the Cubic
Lesson 310
Napier and Logarithms: Turning Multiplication into Addition
Lesson 311
The Invention of the Equals Sign: Robert Recorde
Lesson 313
Why Complex Numbers Are Really 2D Numbers
Lesson 314
Luca Pacioli: Double-Entry Bookkeeping and Mathematics
Lesson 316
The Problem of the Cubic: Mathematics' Greatest Challenge
Lesson 317
Cardano's Ars Magna: The Great Art of Algebra
Lesson 318
The Cubic Formula: Why It's So Much Harder Than the Quadratic
Lesson 319
Ferrari: Solving the Quartic at Age 18
Lesson 320
The Quintic Wall: Why Degree 5 Is Different
Lesson 321
Bombelli: Taming Imaginary Numbers
Lesson 322
Viete: Letters Instead of Numbers
Lesson 323
Viete's Formulas: Roots and Coefficients Connected
Lesson 324
Simon Stevin: The Decimal Revolution
Lesson 326
Complex Numbers Emerge: √(-1) Gets a Name
Lesson 360
Regiomontanus: Trigonometry Comes to Europe
Lesson 369
Harriot: Algebra Beyond Viete
Lesson 371
The Birth of Negative Numbers in Europe
Lesson 372
The Printing of Euclid: Mathematics' First Bestseller
Lesson 378
The Method of False Position: Solving Equations by Guessing