Six Ideas That Run the World: The School Maths and Science Behind Rockets, AI, Medicine and Everything Next — Derived in Full, Nothing Skipped - Softcover

Inhaltsangabe

You can use the quadratic formula. You can differentiate a polynomial. You can recite Newton’s laws. Here is what no one showed you: those are the same tools that land a spacecraft on Mars, decide when a self-driving car brakes, set a chemotherapy dose, and train an AI.
Most popular-science books tell you the maths is out there and ask you to take it on trust. This one refuses to skip the working.
Every major result in these pages is derived using mathematics a strong 16-to-18-year-old already has. No hand-waving, no "and then the scientists worked it out." The rocket equation — derived. Gradient descent, the engine inside modern AI — a derivative and a loop you can run by hand. GPS — simultaneous equations, plus the sliver of Einstein’s relativity already ticking inside your phone. A working code that protects a bank transfer — built from primes with pen and paper. And where the real research runs past the syllabus, the book says so plainly and names exactly what you would learn next.
In this book you will:

• Work out from scratch why a rocket is 94% fuel — and why that is a law, not a failure of engineering.
• Watch a straight line become a neural network, and see in one figure why "deep" learning has to be deep.
• Compute herd immunity, drug half-lives and tumour doubling times — the arithmetic that keeps people alive.
• Meet real people doing this work now — technicians, trial statisticians, data engineers, teachers — and hear the route each one actually took in.

Who it is for: students taking higher-level maths and a science who want to know what it is all for; teachers hunting enrichment that maps to the syllabus; parents of an able teenager; and anyone about to choose a degree who wants to see where it leads before they commit.
The gap it closes is simple. Some books inspire without teaching. Textbooks teach without inspiring. This one does both — by showing its working.

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