A Brief History of Numbers by Leo Corry (PDF)

Description

The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be?In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century.Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐With the Pythagorean discovery of irrational numbers, a dichotomy between continuous and discrete magnitudes was long sustained through mathematical history, with the consequent separation of geometry and algebra. The view of number as quantity delayed the acceptance of negative and imaginary numbers. The lack of symbolic notation and thus the reliance upon a natural language description of mathematical methods limited clarity and discovery in algebra. With the advent of clarifying notation and the algebraic approach to geometry, previous constraints on the view of number began to loosen. This book tells the history of numbers up through the ideas of Cantor, Dedekind, and Peano.

⭐A Brief History of Numbers is a phenomenal book. It covers a lot of material in a easily accessible way. I’ve often read about early numbers and systems for counting. This covers the basic materials you’d expect from a history of numbers book.This book does more than just cover the history of numbers. The book covers the history of our relationships to numbers in context with the changing world. I think the biggest “Aha” for me what how much logic and geometry played in the creation of the mathematic system. Much of the history of mathematics isn’t completely the symbols we use as numbers today. “Numbers” and our later numbering and mathematical system really came from a vastly different model.The idea that Pythagoras used logic to define ratios and relationships with lengths vs simply calculating sums. This mathematical relationship is really the basis of the book for how numbers were created, defined over the centuries and put into practice.Every chapter I’ve found a section in which I was wowed with a new explanation of perspective on mathematics or numbers such as the proof of why a negative number multiplied by a negative number is positive.There is quite a bit of math, but I believe Leo Corry has done an excellent job breaking down the math into concrete basics for the lay person to understand. It’s not as though I’ll have the book memorized, so it’s likely in another six months or a year I’ll re-read the book to discover a few new gems.

⭐I’m very satisfied.

⭐No sé si se realizó el cobro adecuadamente, no puedo disponer de mi libro, lo necesito en formato PDF por favor.

⭐

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