Math English

No Calculator? No Problem! Mastering Mental Math , award-winning professor of mathematics and celebrated “mathemagician” Arthur T. Benjamin delivers 10 fun-filled lessons on how to do math in your head with confidence, accuracy, and speed - sometimes faster than a calculator. By the end of Professor Benjamin’s lessons, you’ll be able to add, subtract, multiply, and divide numbers faster than ever before. And with your newfound skills, you’ll soon find yourself amazing other people and, perhaps more important, yourself.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

From Leonardo Da Vinci to John Dee and Comenius, from George Eliot to Oliver Sacks and Susan Sontag, polymaths have moved the frontiers of knowledge in countless ways. But history can be unkind to scholars with such encyclopaedic interests. All too often these individuals are remembered for just one part of their valuable achievements. In this engaging, erudite account, renowned cultural historian Peter Burke argues for a more rounded view.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler - Stanford researcher, professor of math education, and expert on math learning - has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

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.

The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate - and how those communications create thoughts, perceptions, and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it.

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

Shalinee Sharma is one of the world’s top experts on math learning, but when she was in school, she sat in the back row, unsure if she could ever master the subject. Many of us buy into the idea that some people are innately good at math and others just won’t ever succeed at it—but it’s not true, and numeracy is as important as literacy when it comes to opening doors in life.

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.

Learn about the science and history of dinosaurs with iMindsJNR audio-learning series for younger minds. Huge and sometimes ferocious, dinosaurs ruled the earth for more than 175 million years. To us, dinosaurs might be scary-looking. But humans never had to fear dinosaurs because they died out 65 million years ago, a long time before the first people were around!Dinosaurs lived in a period called the Mesozoic era, which began about 240 million years ago.

We would all be better off if everyone saw mathematics as a practical ally. Sadly, most of us fear maths and seek to avoid it. This is because mathematics doesn't have good 'people skills' - it never hesitates to bluntly point out when we are wrong. But it is only trying to help! Mathematics is a friend which can fill the gaps in what our brains can do naturally. Luckily, even though we don't like sharing our own mistakes, we love to listen to tales about what happens when maths errors make the everyday go horribly wrong....

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

Why do mobile phones work when you're on a train? What happens when you pull a pop song apart into pure sine waves and play it back on a piano? And what did mathematicians have to do with the great pig stampede of 2012? The answer to each of these questions can be found in the triangle. Join Matt Parker, stand-up comedian and author of the first ever maths book to be a No. 1 bestseller, as he uncovers the secrets of trigonometry and shares extraordinary stories about the mathematicians, philosophers and engineers who dared to take triangles seriously.

In 2006 an oddball group of bankers, traders and brokers from some of the largest financial institutions made a startling realization: Libor - the London interbank offered rate, which determines the interest rates on trillions in loans worldwide - was set daily by a group of easily manipulated administrators, and they could reap huge profits by nudging it fractions of a percent to suit their trading portfolios. This group generated incredible riches - until it all unraveled in spectacularly vicious, backstabbing fashion.

In March 2006, the world’s richest men sipped champagne in an opulent New York hotel. They were preparing to compete in a poker tournament with ­million-dollar stakes. At the card table that night was Peter Muller, who managed a fabulously successful hedge fund called PDT. With him was Ken Griffin, who was the tough-as-nails head of Citadel Investment Group. There, too, were Cliff Asness, the sharp-tongued, mercurial founder of the hedge fund AQR Capital Management, and Boaz Weinstein, chess “life master” and king of the credit-default swap.

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.

Mathematics is a fundamental part of life, yet every one of us has a unique relationship with learning and understanding the subject. Working with numbers may inspire confidence in our abilities or provoke anxiety and trepidation. Stanford researcher, mathematics education professor, and the leading expert on math learning Dr. Jo Boaler argues that our differences are the key to unlocking our greatest mathematics potential.

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.

We live in the age of the algorithm. Increasingly, the decisions that affect our lives—where we go to school, whether we get a loan, how much we pay for insurance—are being made not by humans, but by mathematical models. In theory, this should lead to greater fairness: everyone is judged according to the same rules and bias is eliminated. And yet, as Cathy O'Neil reveals in this urgent and necessary book, the opposite is true. The models being used today are opaque, unregulated and incontestable, even when they're wrong. Most troubling, they reinforce discrimination.

It's a signal paradox of our times that we live in an information society but do not know how it works. And without understanding how our information is stored, used and protected, we are vulnerable to having it exploited. In Fancy Bear Goes Phishing, Scott Shapiro exposes the secrets of the digital age. With lucidity and wit, he establishes that cybercrime has less to do with defective programming than with the faulty wiring of our psyches and society. And because hacking is a human story, he tells the fascinating tales of perpetrators.