Engineering Mathematics

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.

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.

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?

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.

Join sensational drag queen Kyne Santos on an extraordinary journey through the glamorous world of…math? This sassy book is your VIP pass, taking you behind the scenes with a TikTok superstar who shatters stereotypes and proves that math can be fascinating and fun, even for people who think they aren’t good at it.

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.

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.

What Are the Odds? is your intro to understanding the hidden mathematics of everyday life. From coin flips to casinos, lightning strikes to love stories, this book walks the line between probability and poetry—bringing clarity to the chaos and calm to the randomness. Through twelve sharp chapters (plus a bonus finale), JJ cracks open real-life situations with statistical insight, humor, and heart. You'll learn why the coin isn't fair, why streaks are a lie, and how even your tiniest decisions might ripple through the universe in ways you’ll never see coming. No math degree required. No charts.

ニューヨーク・タイムズベストセラー！テクノロジーの加速度的な進歩による人間社会の変化を予測して、ことごとく的中させてきたカーツワイルの最新話題作が、ついに日本上陸。彼が予測するAIが人間の知性を超える2029年はあと5年後に迫っている。

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.

Simple, concise, and radical, Being Human outlines the Entheological Paradigm, a Grand Unified Theory of reality that accounts for not only all of the physical world, but personal consciousness, life, and God as well. This guide explains the nature of God as a fractal energy being and how this one being works to create all of physical reality and is also embodied in all living beings through the process of evolution. To be human is to be God in a body.

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.

Become a better decision-maker and more informed consumer using statistics stories. Stories stimulate our brains to enhance retention and understanding by evoking emotions. They provide context, helping us grasp complex concepts through real-life examples and establish a connection with the information. By transforming data into narratives, we recall and thus apply insights more effectively, enhancing our ability to make more informed decisions. Perfect for the Math-Averse. You don’t need to crunch numbers to make statistics valuable.

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.

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.

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.

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.

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.

How many people achieve a cult following because of their writing in mathematics? Only a handful, and Martin Gardner is among the most well-known and well-loved. Not only did he present a notoriously difficult subject in an engaging and accessible way, but in doing so, he attracted an incredibly broad readership. His “Mathematical Games” column in Scientific American ran nearly every month for 26 years and was one of the most popular in the magazine’s history.

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.