On the study and difficulties of mathematics by Augustus De Morgan
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Forget everything you think you know about old math books. On the Study and Difficulties of Mathematics isn't a dry collection of problems. It's a conversation. Augustus De Morgan, a famous 19th-century mathematician, noticed that students often memorized rules without understanding them. So, he sat down and wrote this guide to the logic behind the numbers.
The Story
There isn't a plot in the traditional sense. Instead, the 'story' is the journey of understanding. De Morgan starts with the very basics of arithmetic and builds up to algebra. He focuses entirely on the points where learners typically get stuck. Why do we use the rules of signs? What does dividing by a fraction actually mean? He breaks down these mental blocks step-by-step, using clear language and everyday examples to build a solid foundation of sense, not just memorization.
Why You Should Read It
This book is a revelation for anyone who thinks they're 'bad at math.' De Morgan argues that the difficulty isn't in you, but in how the subject is often taught. Reading it feels incredibly validating. He treats the reader's confusion with respect and dismantles it with brilliant clarity. You finish a chapter not just knowing a rule, but believing it, because you've seen the reasoning laid bare. It builds confidence from the ground up.
Final Verdict
Perfect for curious adults, parents helping kids with homework, or students who want to truly grasp the 'why' behind their math classes. It's also a fascinating historical look at education. While some examples use old British currency, the core ideas are timeless. If you want to make peace with mathematics and finally see the logic in its language, this 19th-century teacher is still one of the best guides you can find.
The copyright for this book has expired, making it public property. It is available for public use and education.
Lucas Johnson
10 months agoGreat read!