📊 Mathematical Modeling

Explorations of how equations and algorithms translate messy reality into tractable abstractions — from epidemiology to economics — and the power and peril of those simplifications.

The Math of Life and Death

by Kit Yates • 2019

Key mathematical ideas govern medicine, law, and media, and your intuition gets each one wrong.

3.90

2k+

The Math of Life and Death

Key mathematical ideas govern medicine, law, and media, and your intuition gets each one wrong.

by Kit Yates 2019

3.90

2k+ ratings

Shape

by Jordan Ellenberg • 2021

Geometry is not about triangles. It is the hidden structure of pandemics, search, and democracy.

3.73

2k+

Shape

Geometry is not about triangles. It is the hidden structure of pandemics, search, and democracy.

by Jordan Ellenberg 2021

3.73

2k+ ratings

Nonlinear Dynamics and Chaos

by Steven H. Strogatz • 1994

How simple rules produce unpredictable motion, and the pictures that reveal the hidden order.

4.38

2k+

🌀 Nonlinear Dynamics 🕸️ Complex Systems 🦋 Deterministic Chaos 🔗 Synchronization 📐 Applied Mathematics

Nonlinear Dynamics and Chaos

How simple rules produce unpredictable motion, and the pictures that reveal the hidden order.

by Steven H. Strogatz 1994

4.38

2k+ ratings

🌀 Nonlinear Dynamics 🕸️ Complex Systems 🦋 Deterministic Chaos 🔗 Synchronization 📐 Applied Mathematics

The Fractal Geometry of Nature

by Benoît B. Mandelbrot • 1977

Coastlines lengthen as you zoom in; mountains and galaxies obey the same hidden arithmetic.

4.23

1k+

🌀 Fractal Geometry 🦋 Chaos Theory 🕸️ Complex Systems 📏 Scaling Laws 🎲 Stochastic Processes

The Fractal Geometry of Nature

Coastlines lengthen as you zoom in; mountains and galaxies obey the same hidden arithmetic.

by Benoît B. Mandelbrot 1977

4.23

1k+ ratings

🌀 Fractal Geometry 🦋 Chaos Theory 🕸️ Complex Systems 📏 Scaling Laws 🎲 Stochastic Processes

Mathematics and Humor

by John Allen Paulos • 1980

The mind reads a joke like a mathematician reads an equation: hunting for structure.

3.40

159

🧮 Mathematical Humor 📖 Philosophy Of Humor 🧠 Humor Psychology 🗣️ Linguistic Play 🎭 Incongruity Theory

Mathematics and Humor

The mind reads a joke like a mathematician reads an equation: hunting for structure.

by John Allen Paulos 1980

3.40

159 ratings

🧮 Mathematical Humor 📖 Philosophy Of Humor 🧠 Humor Psychology 🗣️ Linguistic Play 🎭 Incongruity Theory

Street-Fighting Mathematics

by Sanjoy Mahajan • 2010

A toolkit for rough-and-ready problem solving: estimate with units, symmetry, and clever shortcuts.

3.74

236

✏️ Back-Of-The-Envelope 📏 Dimensional Analysis 💡 Heuristic Reasoning 🔬 Physical Intuition 🧩 Problem Solving

Street-Fighting Mathematics

A toolkit for rough-and-ready problem solving: estimate with units, symmetry, and clever shortcuts.

by Sanjoy Mahajan 2010

3.74

236 ratings

✏️ Back-Of-The-Envelope 📏 Dimensional Analysis 💡 Heuristic Reasoning 🔬 Physical Intuition 🧩 Problem Solving

What's the Use?

by Ian Stewart • 2021

Kidney matches, secure websites, movie animation: the invisible math that built the modern world.

3.54

175

📐 Applied Mathematics 🔍 Hidden Mathematics 🔢 Number Theory 🔗 Topology 🦋 Chaos Theory

What's the Use?

Kidney matches, secure websites, movie animation: the invisible math that built the modern world.

by Ian Stewart 2021

3.54

175 ratings

📐 Applied Mathematics 🔍 Hidden Mathematics 🔢 Number Theory 🔗 Topology 🦋 Chaos Theory

A Beautiful Math

by Tom Siegfried • 2006

Adam Smith, Darwin, and your brain's dopamine all obey the same mathematical logic.

3.59

389

🎲 Game Theory 📜 History Of Science ♟️ Strategic Thinking 🧬 Evolutionary Biology 🧠 Behavioral Economics

A Beautiful Math

Adam Smith, Darwin, and your brain's dopamine all obey the same mathematical logic.

by Tom Siegfried 2006

3.59

389 ratings

🎲 Game Theory 📜 History Of Science ♟️ Strategic Thinking 🧬 Evolutionary Biology 🧠 Behavioral Economics

Pluses and Minuses

by Stefan Buijsman • 2018

Three mathematical discoveries run your digital life; understanding them is simpler than you think.

3.41

290

🧮 Applied Mathematics 📜 History Of Mathematics 🔢 Mathematical Literacy 🕸️ Network Theory 📊 Data Skepticism

Pluses and Minuses

Three mathematical discoveries run your digital life; understanding them is simpler than you think.

by Stefan Buijsman 2018

3.41

290 ratings

🧮 Applied Mathematics 📜 History Of Mathematics 🔢 Mathematical Literacy 🕸️ Network Theory 📊 Data Skepticism

Small Worlds

by Duncan J. Watts • 1999

A few distant links turn clustered networks into superhighways for disease, ideas, and synchrony.

3.88

🕸️ Network Science 📐 Graph Theory 🔗 Complex Systems 🌊 Emergent Behavior ⚡ Network Dynamics

Small Worlds

A few distant links turn clustered networks into superhighways for disease, ideas, and synchrony.

by Duncan J. Watts 1999

3.88

85 ratings

🕸️ Network Science 📐 Graph Theory 🔗 Complex Systems 🌊 Emergent Behavior ⚡ Network Dynamics

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