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From rotating complex numbers to approximating any function and decomposing any signal — the analytic backbone of modern math.

1. 1The Derivative10 min
2. 2The Integral: Adding Up the Infinitely Small10 min
3. 3Logarithms: Taming Huge Numbers10 min
4. 4Infinity: Not All Infinities Are Equal10 min

How machines search, sort, explore connected data, and sift the primes — the core algorithmic ideas, step by step.

1. 1Logic Gates: How Computers Do Arithmetic10 min
2. 2Compilers: From Source Code to Silicon10 min
3. 3Floating-Point: Why 0.1 + 0.2 ≠ 0.310 min
4. 4Binary Search8 min

Start with a swinging weight, bend time with relativity, and end where classical physics breaks down entirely.

1. 1The Pendulum9 min
2. 2Resonance and Standing Waves10 min
3. 3Turbulence and the Reynolds Number10 min
4. 4Buoyancy: Why Steel Ships Float10 min

What can be said about a system nobody can predict — from a jittering pollen grain to the bell curve, the limits of forecasting, and the arithmetic of uncertainty itself.

1. 1Brownian Motion9 min
2. 2The Central Limit Theorem8 min
3. 3Bayes' Theorem9 min
4. 4Markov Chains10 min

Start with what holds two atoms together, then follow reactions through speed, balance, and the transfer of protons and electrons.

1. 1Atomic Structure and the Periodic Table11 min
2. 2Radioactivity: Random Decay, Predictable Half-Life10 min
3. 3The Periodic Table: Why the Pattern Repeats10 min
4. 4The Mole: Chemistry's Bridge to the Invisible10 min

The machinery of a working planet — the rock that moves beneath it, the air and ocean that carry its heat, and the carbon and radiation budgets that set its temperature.

1. 1Plate Tectonics10 min
2. 2The Rock Cycle10 min
3. 3Volcanoes: Why Some Ooze and Some Explode10 min
4. 4Earthquakes and Seismic Waves10 min

Start with the principle that organises all of biology, then build upward — the code, what it folds into, how energy gets in, and how cells signal and defend.

1. 1Natural Selection10 min
2. 2DNA Replication10 min
3. 3From DNA to Protein10 min
4. 4Epigenetics: The Marks Above the Genes10 min

Medicine as measurement and control — reading the heart’s electrical trace, holding glucose in range, tracking a drug through the body, seeing inside it, and losing ground to resistant bacteria.

1. 1The Heart: Two Pumps in One10 min
2. 2How Muscles Work: Pulling, Never Pushing10 min
3. 3How the Heart's Electrical Signal Works8 min
4. 4Blood Pressure and Circulation9 min

Outward through the cosmos — from the life and death of a single star to the elements it forges, the worlds around others, the extremes of gravity, and the expansion of everything.

1. 1The Sun: A Nuclear Furnace, Not a Fire10 min
2. 2The Life Cycle of Stars10 min
3. 3The Hertzsprung–Russell Diagram: Mapping the Stars10 min
4. 4Where the Elements Come From10 min

The internet told as a chain of inventions — each one solving the exact limit the last success ran into, from raw packets up to the web you are reading this on.

1. 1Packet Switching10 min
2. 2IP Addresses and Routing10 min
3. 3TCP: Reliability on an Unreliable Network10 min
4. 4DNS: The Internet's Phone Book10 min

The layers the first tour skipped and the extensions built on top — how bits reach the wire and the airwaves, how independent networks agree on routes, how the web reinvented its transport, and how private networks span the public internet.

1. 1Ethernet: How Machines Share a Wire10 min
2. 2Wi-Fi: Networking Through the Air10 min
3. 3BGP: How the Internet's Networks Agree on Routes10 min
4. 4HTTP/2 and HTTP/3: Reinventing the Web's Transport10 min

The everyday operation of the network — how a device joins it, the applications and architectures built across it, how to see inside it, and how it is defended.

1. 1DHCP: How Your Device Joins a Network9 min
2. 2Email: The Internet's Oldest Application10 min
3. 3Peer-to-Peer: The Internet Without a Center10 min
4. 4Ping and Traceroute: Seeing the Network9 min