検索キーワード： 数学

Do you sometimes question if you are on the right path or if you are wasting your time on something you are not supposed to do? Do you repeatedly see numbers all around you? I´m not talking about telephone numbers, area codes, or price tags, but patterns that are not "normal"? 11:11, 333, 666? Do you ever recognize certain character traits among people that are born in the same month? What if all the "coincidences" in your life mean much more than you think on first sight?

Bayes theorem is a method that is used to solve conditional probability. Also called Bayes theory, this theorem can accurately give you the actual probability of an event, given information about the test. This audiobook is loaded with interactive examples on Bayes theorem. Bayes theorem is also called Bayes rule or Bayes formula and is used in different industries including spam filters and drug testing, due to the fact that it is vital to have a systematic and proven way to find the estimated probability when new data is available.

Do your carefully planned lessons feel unsuccessful? "I've tried everything," you think. "Shouldn't math be a little more engaging?" Ilana Seidel Horn understands your frustration. Participating in math class feels socially risky to students. Staying silent often feels safer. In Motivated, Ilana shows why certain teaching strategies create classroom climates where students want to join in.

This new and significantly revised edition of Implementing Six Sigma goes well beyond traditional Six Sigma methodologies, introducing an enhanced roadmap - S4/IEE (Smarter Six Sigma Solution ssm/Integrated Enterprise Excellence). This cutting-edge approach offers a solution to the common problem of sustaining Six Sigma activities and downplays the traditional policy stating that Six Sigma projects must have a defined defect.

At 20 years of age, Samuel Leach was studying at college. He appeared to be a typical student, but there was something different about him. While his classmates were engrossed in their studies, as well as their burgeoning social lives, Samuel was adding another facet to his education. He was teaching himself the science and art of trading. With nothing more than a boxer's heart and drive, Samuel turned £2k into £178k in his first year, and a few short years later, he rose to global renown by building his new enterprise to become a multi-million-pound trading business.  

Choices can be overwhelming. But you don’t need to give up on the things that you want just because you have a history of making the worst decisions. With the help of game theory, you will learn to adapt a more rational, effective, and analytical way to formulate your decisions and land the outcome that you’ve always wanted. More often than not, decisions based on merely feelings can lead to chaos and dissatisfaction. It will always be better to use your head in making a choice, especially in major deals such as in your business and personal affairs.

In the 18th century, the British minister and mathematician Thomas Bayes devised a theorem that allowed him to assign probabilities to events that had never happened before. It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes's formula has become a linchpin of the digital economy. But here's where things get interesting: Bayes's theorem can also be used to lay odds on the existence of extraterrestrial intelligence, and on the biggest question of all: how long will humanity survive?

We've all heard that a picture is worth 1,000 words, but what if we don't understand what we're looking at? Social media has made charts, infographics, and diagrams ubiquitous - and easier to share than ever. However, they can also lead us astray. Charts lie in a variety of ways - displaying incomplete or inaccurate data, suggesting misleading patterns, and concealing uncertainty. In How Charts Lie, data visualization expert Alberto Cairo teaches us to not only spot the lies in deceptive visuals, but also to take advantage of good ones to understand complex stories.

Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.  

En 1637, Descartes révolutionne la manière que l'on a de faire de la géométrie : il pose les bases de ce que l'on appelle la "géométrie algébrique", qui associe, à chaque point de l'espace, 3 coordonnées. Cela permet de résoudre des problèmes géométriques avec des outils algébriques. Cette géométrie est dite "commutative", c'est-à-dire que le produit de deux quantités ne dépend pas de l'ordre des termes : A × B = B × A. Cette propriété est fondamentale, et l'ensemble de l'édifice mathématique en dépend.

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.

For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here, Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

An accessible, light-hearted exploration into game theory. Haim Shapira describes what it is, why it is important, and how it can help us in our daily lives. This audiobook provides many humorous anecdotes and insightful examples of how our daily lives are affected by game theory. Game theory is the mathematical formalization of interactive decision-making - it assumes that each player's goal is to maximize his/her benefit, whatever it may be. Players may be friends, foes, political parties, states, or any entity that behaves interactively, whether collectively or individually.

When we learn, we change what we believe and how we interact with the world. This changes who we are as people and what we can achieve. Many people grow up being told they are ‘not a maths person’ or perhaps ‘not smart’. They come to believe their potential is limited. Now, however, the latest science has revealed that our identities are constantly in flux; when we learn new things, we can change our identities, increase our potential and broaden our capacity to receive new information. 

In this eye-opening and extraordinary audiobook, Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings.

Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence - and even more so if we hope to participate in the future, rather than being simple bystanders.

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.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

In Infinite Powers, Strogatz attempts to show us the link between the universe and calculus. Everything human civilization has created has been based on some form of calculus, including cellphones, radios, HIV drugs, and human genome technology. Strogatz makes a compelling argument that without integral and differential equations, there would be no modern civilization. Infinite Powers is a classic description of the history, development, and future of calculus, as well as the phenomenal mathematicians who mastered it.

Enhance your logic, reason, judgment, and wisdom. Increase your ability to create concise and reasoned arguments using data and evidence to get a genuine conclusion. The Systems Thinker: Analytical Skills aims to raise the level of your mental performance by focusing on the fundamentals of how to use your mind effectively.