Engineering Mathematics

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough.

The complexity of mathematics - its abstract rules and obscure symbols - can seem very distant from the everyday. There are those things that are real and present, it is supposed, and then there are mathematical concepts: creations of our mind, mysterious tools for those unengaged with the world. Yet, from its most remote history and deepest purpose, mathematics has served not just as a way to understand and order, but also as a foundation for the reality it describes.

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.

Knowledge of the basic ideas and principles of science is fundamental to cultural literacy. But most books on science are often too obscure or too specialized to do the general listener much good.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart's controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever.

This book reveals how statistics and probability are fundamental to our everyday lives—from advertisements to public opinion polls, weather forecasts to government policies, scientific research to stock market information. Haim Shapira then presents a myriad of anecdotes, riddles, case studies and practical exercises in his trademark witty voice to guide the listner through the importance of statistics and probability in everyday life.

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.

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.

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.

How can you be 100 percent sure you will win a bet? Why did so many Pompeians stay put while Mount Vesuvius was erupting? Are you more likely to work in a kitchen if your last name is Baker? Ever since the dawn of human civilization, we have been trying to make predictions about what the world has in store for us. For just as long, we have been getting it wrong. In How to Expect the Unexpected, mathematician Kit Yates uncovers the surprising science that undergirds our predictions—and how we can use it to our advantage.

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.

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.

In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty - indeed, scientific advances indicate that the universe might be fundamentally inexact - and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.

Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: If we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation.

Do you want to become mentally sharper and quicker? Do you want to be able to save time and calculate large numbers on the go while you're shopping or adding up a bill at a restaurant? Do you want other people to notice how you seem to not need a calculator, how you seem like such a genius? If yes, then this audiobook is for you. Mental math is the ability to solve math problems in your head, without the need to write or use a calculator. And it has all of the benefits implied above and much more.

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.

Происхождение видов - opus magnum Дарвина, в котором он подробно и доступно обосновал теорию эволюции видов и естественного отбора как главного двигателя эволюции. Сейчас, когда с теорией эволюции знаком каждый школьник, невозможно даже представить себе, какой эффект произвел сначала в Англии, а потом и в других странах этот гениальный научный труд. Книга Дарвина, наряду с "Математическими началами натуральной философии" Ньютона, "О богатстве народов" Адама Смита, "Критикой чистого разума" Канта входит в золотой фонд человеческой мысли.