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Artificial Intelligence

Neural Networks Explained

A High School & College Primer on How Artificial Neurons Compute

Neural networks power everything from voice assistants to medical diagnosis — but most textbooks either skip the math entirely or bury students in calculus before explaining the basic idea. If you have a class, a project, or an exam coming up and you need to understand how artificial neurons actually compute, this guide cuts straight to the point.

**Neural Networks Explained** is a focused 10–20 page primer that walks you through the full picture: how a single neuron takes inputs, applies weights and a bias, and fires an output; how neurons stack into layers to approximate complex functions; and how a network measures its own mistakes with a loss function and fixes them using gradient descent. The guide then unpacks backpropagation — the chain-rule algorithm that tells every weight in every layer exactly how much it contributed to an error — and closes with a practical survey of CNNs, RNNs, and Transformers so you know which architecture fits which kind of data.

This book is written for high school students in CS or AI electives, college freshmen encountering machine learning for the first time, and anyone who searched for *backpropagation explained simply* and got a Wikipedia page they couldn't parse. Every concept comes with worked numbers, plain-English definitions, and callouts for the misconceptions students most often bring into exams.

Short by design. Read it in one sitting, then walk into class ready.

What you'll learn
  • Explain what an artificial neuron is and how it computes an output from weighted inputs and an activation function
  • Describe how neurons are stacked into layers to form feedforward networks and why depth matters
  • Define a loss function and explain how gradient descent uses it to update weights
  • Walk through backpropagation at a conceptual level, including the role of the chain rule
  • Recognize common architectures (CNNs, RNNs, transformers) and the kinds of problems each one fits
What's inside
  1. 1. What a Neural Network Actually Is
    Introduces neural networks as function approximators built from simple units, and distinguishes them from brains and from traditional programming.
  2. 2. Inside a Single Neuron: Weights, Bias, and Activation
    Breaks down the arithmetic of one artificial neuron with a worked numerical example and explains why nonlinear activation functions are essential.
  3. 3. Stacking Neurons into Layers
    Shows how neurons combine into input, hidden, and output layers to form feedforward networks, and why depth lets networks represent complex patterns.
  4. 4. Learning from Data: Loss and Gradient Descent
    Explains how networks measure their own mistakes with a loss function and adjust weights using gradient descent.
  5. 5. Backpropagation: How the Network Knows What to Fix
    Walks through the chain-rule logic that lets a network distribute blame for an error back through every weight in every layer.
  6. 6. Beyond the Basics: CNNs, RNNs, and Transformers
    Surveys the main architectures built on top of the basic neuron and matches each to the kind of data it handles best.
Published by Solid State Press
Neural Networks Explained cover
TLDR STUDY GUIDES

Neural Networks Explained

A High School & College Primer on How Artificial Neurons Compute
Solid State Press

Who This Book Is For

If you're looking for neural networks explained for beginners — whether you're a high school student curious after an AI elective, a freshman taking an intro to deep learning course, or a self-taught coder who keeps hitting a wall when people mention "backprop" — this book is for you. It's also useful for AP Computer Science students, anyone preparing for a college placement exam with AI content, or a tutor prepping a session on machine learning fundamentals.

This is a focused artificial intelligence primer for students that covers exactly what the title promises: how artificial neurons compute, how weights and biases shape output, how a loss function measures error, and how gradient descent machine learning study guides usually gloss over — the actual math of backpropagation explained simply enough for high school readers. It also introduces CNNs, RNNs, and Transformers for beginners. About 15 pages, no filler.

Read it straight through, work every numbered example inline, then tackle the problem set at the end to confirm you understand how neural networks learn step by step.

Contents

  1. 1 What a Neural Network Actually Is
  2. 2 Inside a Single Neuron: Weights, Bias, and Activation
  3. 3 Stacking Neurons into Layers
  4. 4 Learning from Data: Loss and Gradient Descent
  5. 5 Backpropagation: How the Network Knows What to Fix
  6. 6 Beyond the Basics: CNNs, RNNs, and Transformers
Chapter 1

What a Neural Network Actually Is

Imagine you need software that can look at a photo and tell you whether it contains a dog. The traditional programming approach would be to write explicit rules: check for fur texture, check for ear shape, check for snout proportions. Anyone who has tried this knows it fails almost immediately — dogs come in too many shapes, lighting conditions vary, and no finite list of rules covers every case.

A neural network takes a different approach entirely. Instead of being told the rules, it learns them from examples. You show it thousands of labeled photos — "dog," "not dog" — and it gradually adjusts its own internal numbers until it gets good at the task. The rules are never written by hand; they emerge from data.

More precisely, a neural network is a function approximator: a mathematical machine that maps inputs to outputs, where the mapping is shaped by data rather than by a programmer's explicit logic. Feed in the pixel values of an image, get out a number representing confidence that a dog is present. Feed in yesterday's stock prices, get out a prediction for tomorrow. The network is, at bottom, a function — a very flexible one that can be bent to fit almost any pattern if given enough data and the right training procedure.

The biological analogy (and its limits)

The design was loosely inspired by the brain. Your brain contains roughly 86 billion neurons — cells that receive electrical signals from other neurons, process them, and fire their own signal onward if the combined input is strong enough. Researchers in the 1940s and 50s asked: what if you built a simplified mathematical version of that process and connected many of them together?

That question produced the artificial neuron, and chains of artificial neurons became artificial neural networks (ANNs).

Keep reading

You've read the first half of Chapter 1. The complete book covers 6 chapters in roughly fifteen pages — readable in one sitting.

Coming soon to Amazon