検索キーワード： 数学

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

If you want to learn how to solve algebra problems faster with less effort, then get How To Do Algebra. In this step-by-step guide, you will discover tips, techniques, and strategies on how to become better at algebra from an algebra teacher's perspective.

We are often told that hard work is the key to success. But success isn’t about hard work - it’s about shortcuts. Shortcuts allow us to solve one problem quickly so that we can tackle an even bigger one. They make us capable of doing great things. And according to Marcus du Sautoy, math is the very art of the shortcut. Thinking Better is a celebration of how math lets us do more with less.

Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life. 

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.  

Every day, most of us will read or watch something in the news that is based on statistics in some way. Sometimes it'll be obvious—'X people develop cancer every year'—and sometimes less obvious—'How smartphones destroyed a generation'. Statistics are an immensely powerful tool for understanding the world, but in the wrong hands they can be dangerous. Introducing you to the common mistakes that journalists make and the tricks they sometimes deploy, How to Read Numbers is a vital guide that will help you understand when and how to trust the numbers in the news.

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.

Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use - from our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later?

So many people dream of becoming their own boss or succeeding in their chosen profession, and with the resources available today, more entrepreneurs and professionals are achieving great success! However, success should be defined for the long term. As opportunities start to grow, so does the competition. Getting your business up and running or starting on your career path is one thing, but having a sustainable business or career is another. Many people make the mistake of making plans, but having no follow-through. This is where analytics comes in.

Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. Sharon Bertsch McGrayne here explores this controversial theorem and the human obsessions surrounding it.

René Descartes is one of the formative figures in Western philosophy, logic and mathematics. His famous statement: "I think, therefore I am," has become perhaps the most famous phrase in all of philosophy. Descartes’s ground-breaking writings attempted to establish unshakeable foundations of knowledge, and set a trend for subsequent Western philosophy, which has endlessly critiqued and expanded upon his ideas.

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.

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. 

Causal Inference provides a brief and nontechnical introduction to randomized experiments, propensity scores, natural experiments, instrumental variables, sensitivity analysis, and quasi-experimental devices. Ideas are illustrated with examples from medicine, epidemiology, economics and business, the social sciences, and public policy.

As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.

These stories from Quanta Magazine map the routes of mathematical exploration, showing listeners how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. Listeners of The Prime Number Conspiracy are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge," says Quanta editor-in-chief Thomas Lin. 

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

Statistically Speaking is the Office for National Statistics' podcast, offering in-depth interviews on the latest hot topics in the world of data, taking a peek behind the scenes of the UK’s largest independent producer of official statistics and exploring the stories behind the numbers.

We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can’t be such a thing as a "biggest number". Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is a googolplex? Then things get serious.

Keep it casual with the Casual Inference podcast. Your hosts Lucy D’Agostino McGowan and Ellie Murray talk all things epidemiology, statistics, data science, causal inference, and public health. In partnership with the American Journal of Epidemiology.