Engineering Mathematics

PLAYING WITH REALITY explores the riveting history of games since the Enlightenment, weaving an unexpected path through military theory, biology, artificial intelligence, neuroscience, cognitive psychology, and the future of democracy. As neuroscientist and physicist Kelly Clancy shows us, games have been deeply intertwined with the arc of history. War games shaped the outcomes of real wars in nineteenth and twentieth century Europe. Game theory warped our understanding of human behavior and brought us to the brink of annihilation.

Pi, in a truly absurd quantity. Read by Chris Griesemer, certainly not Morgan Freeman. Some books teach. Some books inspire. This book? It just gives you a ridiculous amount of Pi—because, frankly, why not?

Starting with hands, abacus, and slide rule, humans have always reached for tools to simplify math. Pocket-sized calculators ushered in modern mathematics, helped build the atomic bomb, took us to the bottom of the ocean, and accompanied us to the moon. The pocket calculator changed our world, until it was supplanted by more modern devices that, in a cruel twist of irony, it helped to create. Keith Houston transports listeners from the nascent economies of the ancient world to World War II, and into the technological arms race that led to the first affordable electronic pocket calculators.

Adrián Paenza, galardonado con el Premio Leelavati al mejor divulgador del mundo en matemática, narra los problemas más curiosos sobre matemática recreativa. Uno de los primeros best sellers de autoayuda, fue publicado por primera vez en 1936 y lleva vendidas 15 millones de copias a nivel mundial.

No number has captured the attention and imagination of people throughout the ages as much as the ratio of a circle's circumference to its diameter. Pi is infinite and, in The Joy of Pi it proves to be infinitely intriguing. With incisive historical insight and a refreshing sense of humor, David Blatner explores the many facets of pi and humankind's fascination with it - from the ancient Egyptians to the modern-day Chudnovsky brothers, who have calculated pi to eight billion digits.

Ever since the dawn of human civilisation, we have been trying to make predictions about what's in store for us. We do this on a personal level, so that we can get on with our lives efficiently (should I hang my laundry out to dry, or will it rain?). But we also have to predict on a much larger scale, often for the good of our broader society (how can we spot economic downturns or prevent terrorist attacks?). For just as long, we have been getting it wrong.

We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can’t be such a thing as a "biggest number". Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is a googolplex? Then things get serious.

Around the World in 80 Games is about the mathematics of chance, game theory, gamification, gaming strategies and computer games. Traversing the globe, Marcus du Sautoy looks at the genesis of games new and old, explores how to invent a good game and explains the fascination of a popular lockdown game. The most simple games endure: board games, card games and dice games have captivated us for centuries and the acclaimed mathematician and author of The Creativity Code (among many others) will once again bring mathematics to the fore with insight and aplomb in Around the World in 80 Games.

In a time of dire need, as climate change, conflict, and economic upheaval imperil our existence and our mental well-being deteriorates from not utilising our minds as God intended, Francis Keith Robins introduces a groundbreaking approach to saving humanity – reshaping our thought processes through mathematics. In his book, The Fourth Coming, Robins provides a detailed, step-by-step guide to unlocking our inherent mathematical potential. His vision is to create a society that is inclusive, equal, and peaceful – one that aligns with God’s desire for us.

In this book, we will explore the history, the properties, and the applications of blank, the first number. Blank is not just a symbol or a placeholder. It is a number that represents the absence of quantity, the origin of counting, and the foundation of arithmetic. Blank is also a concept that has profound implications for logic, algebra, geometry, calculus, and even physics and cosmology.

Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.

Math is famous for its equations: 1 + 1 = 2, a2 + b2 = c2, or y = mx + b. Much of the time it can seem like that’s all mathematics is: following steps to show that what’s on one side of an equation is the same as what’s on the other. In Unequal, Eugenia Cheng shows that’s just part of the story, and the boring part to boot. It isn’t even just about numbers and symbols at all, but a world of shapes, symmetries, logical ideas, and more.

For going on two decades, Scientific American’s “Ask the Experts” column has been answering reader questions on all fields of science. We’ve taken your questions from the basic to the esoteric and reached out to top scientists, professors, and researchers to find out why the sky is blue or whether we really only use 10 percent of our brains. Now, we’ve combed through our archives and have compiled some of the most interesting questions (and answers) into a series of books.

Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

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.

In Fantastic Numbers and Where to Find Them, leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics. These include Graham's number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite value could never be reached before the universe reset itself; and 10^{-120}, which measures the desperately unlikely balance of energy the universe needs to exist....

In the 18th century, two men dedicated their lives to the same daunting task: identifying and describing all life on Earth. Their approaches could not have been more different. Carl Linnaeus, a pious Swedish doctor with a huckster's flair, believed that life belonged in tidy, static categories. Georges-Louis de Buffon, an aristocratic polymath and keeper of France's royal garden, viewed life as a dynamic swirl of complexities. Both began believing their work to be difficult, but not impossible—how could the planet possibly hold more than a few thousand species?

August, 1755. Newcastle, on the north bank of the Tyne. In the fields, men and women are getting the harvest in. Sunlight or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust choked, wielding a five-pound pick by candlelight. Eighteen years old, he’s been down the pits on and off for more than a decade, and now it looks like a life sentence. No unusual story, although Charles is a clever lad - gifted at maths and languages - and for a time he hoped for a different life. Many hoped.

Es posible que Pitágoras fuese el primer matemático y filósofo del mundo occidental. Su obra cambió la visión contemporánea del mundo, pues estableció conceptos tales como el razonamiento abstracto o la prueba deductiva. Pitágoras y su teorema resume brillantemente la vida y la obra de Pitágoras, ya que están presentadas dentro de su contexto histórico y científico, y, además, proporciona una explicación clara y accesible de significado y la importancia que tuvieron para el mundo en que vivimos hoy en día.

Whether you are an educator, student, researcher, or administrator, it has become even more critical now more than ever to understand what contextualized math curriculum is and how it can be applied inside an online or face-to-face math classroom. What is contextualized mathematics? What are the foundational research underpinnings of contextualized math curriculum? What have we learned about contextualized math curriculum that will improve math education in the future?