Engineering Mathematics

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health? As acclaimed mathematician David Sumpter shows, thinking about thinking is something we rarely do, yet it is something science questions all the time. He has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result.

Our universe has multiple origin stories, from religious creation myths to the Big Bang of scientists. But if we leave those behind and start from nothing—no matter, no cosmos, not even empty space—could we create a universe using only math? Irreverent and boundlessly creative, The Big Bang of Numbers invites us to try.

In this captivating, sweeping history, Michael Brooks makes clear that mathematics was one of the foundational innovations that catapulted humanity from a nomadic existence to civilization, and that it has been instrumental in every subsequent great leap of humankind: from charting the movements of celestial bodies to navigating the globe to tracking the dissemination of viruses.

From Aristotle to Ada Lovelace: a brief history of the mathematical ideas that have forever changed the world and the everyday people and pioneers behind them. The story of our best invention yet. From our ability to calculate the passing of time to the algorithms that control computers and much else in our lives, numbers are everywhere. They are so indispensable that we forget how fundamental they are to our way of life.

Statistics is used in almost every field and industry imaginable. From healthcare to finance to marketing, statistics are used to make important decisions, identify patterns and trends, and predict future outcomes. Without a basic understanding of statistics, it's easy to be left behind and taken advantage of.

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Humans are pattern-matching creatures, and astrology is the universe's grandest pattern-matching game. In this refreshing work of history and analysis, data scientist Alexander Boxer examines classical texts on astrology to expose its underlying scientific and mathematical framework.

Não estamos preparados para lidar com o aleatório e, por isso, não percebemos o quanto o acaso interfere em nossas vidas. Num tom irreverente, citando exemplos e pesquisas presentes em todos os âmbitos da vida, do mercado financeiro aos esportes, de Hollywood à medicina, Leonard Mlodinow apresenta de forma divertida e curiosa as ferramentas necessárias para identificar os indícios do acaso. Como resultado, nos ajuda a fazer escolhas mais acertadas e a conviver melhor com fatores que não podemos controlar.

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.

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.

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health? Thinking about thinking is something we rarely do, yet it is something science questions all the time. David Sumpter has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result. Here he reveals the four easily applied approaches to our problems: statistical, interactive, chaotic and complex.

Shakespeare's era was abuzz with mathematical progress, from the new concept of "zero" to Galileo's redraft of the heavens. Now, Rob Eastaway uncovers the many surprising ways math shaped Shakespeare's plays—and his world—touring astronomy, code-breaking, color theory, navigation, music, sports, and more.

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.

Eso no estaba en mi libro de Matemáticas va más allá del consabido texto en el que se exponen de forma más o menos ordenada ciertos tópicos aritméticos, geométricos o algebraicos. Por el contrario, esta obra es un compendio que aborda el vasto universo de las matemáticas dando cabida a contenidos en apariencia dispares e inconexos, pero tremendamente sugestivos para el oyente.

En sus páginas, amenas y cargadas de revelaciones, se dan cita personajes, problemas, procedimientos, recreaciones y paradojas del más variado tenor: desde el curioso origen de los símbolos matemáticos más usuales...

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.

INTERNATIONAL BESTSELLER AUTHOR Breaking Barriers in STEM "Emma’s Code" isn't merely a tale to be told at bedtime. This story unfolds the ambitions of a young girl who refuses to let societal norms dictate her dreams. Through her eyes, readers not only witness the trials and tribulations of a budding scientist but also the broader challenges many face when defying traditional gender roles. Readers are encouraged to explore, dream, and dismantle barriers in spaces often dominated by men. The tale emphasizes virtues such as resilience, self-worth, and the undying spirit of pursuing passions...

We are living through a revolution in artificial intelligence that is not slowing down. This major shift is based on simple mathematics, some of which goes back centuries: linear algebra and calculus, the stuff of eighteenth-century mathematics. Indeed by the mid-1850s, a lot of the groundwork was all done. In this enlightening book, Anil Ananthaswamy explains the fundamental maths behind AI, which suggests that the basics of natural and artificial intelligence might follow the same mathematical rules.

Every time we download a song from iTunes, take a flight across the Atlantic or talk on our mobile phones, we are relying on great mathematical inventions. Maths may fail to provide answers to various of its own problems, but it can provide answers to problems that don't seem to be its own - how prime numbers are the key to Real Madrid's success, to secrets on the internet and to the survival of insects in the forests of North America.

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.

Math is famous for its equations: 1 + 1 = 2, a^2 + b^2 = c^2, 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.