Mathematics History

This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate...

Math 101: A History of Numbers isn’t a textbook — it’s a story. A fast, listenable, journey through how we went from counting on our fingers to coding AI. From ancient bone tallies and Sumerian tokens to Renaissance ratios, algebraic revolutions, and modern machine logic, this book tracks the true evolution of math — not as cold formulas, but as a living system we built to make sense of the world.

Un estimulante viaje que comienza con la aparición de los números primos—objeto de profundas y sorprendentes investigaciones matemáticas a lo largo de los siglos—y nos lleva hasta los límites del infinito, el número más grande de todos y el único que consigue que las matemáticas y la filosofía encuentren un lugar común.

Este libro es mucho más que una simple colección de datos; es una puerta a las maravillas ocultas del conocimiento. A través de sus páginas, descubrirás hechos tan asombrosos como inesperados, que te harán repensar lo que crees saber sobre el mundo. Cada curiosidad está diseñada para despertar tu imaginación y ofrecerte una nueva perspectiva sobre el mundo que nos rodea. Si alguna vez te has preguntado por qué ciertos patrones se repiten en la naturaleza o cómo ciertos eventos históricos cambiaron el curso de la humanidad, aquí encontrarás respuestas que te sorprenderán.

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.