検索キーワード： 数学

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.

When was the last time you read a grand statement, accompanied by a large number and wondered whether it could really be true? Statistics are vital in helping us tell stories - we see them in the papers, on social media and we hear them used in everyday conversation - and yet we doubt them more than ever. But numbers - in the right hands - have the power to change the world for the better. Contrary to popular belief, good statistics are not a trick, although they are a kind of magic.

Every time we choose a route to work, decide whether to go on a second date, or set aside money for a rainy day, we are making a prediction about the future. Yet from the global financial crisis to 9/11 to the Fukushima disaster, we often fail to foresee hugely significant events. In The Signal and the Noise, the New York Times' political forecaster and statistics guru Nate Silver explores the art of prediction, revealing how we can all build a better crystal ball.

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity. 

These programming languages help in making programs which increase the overall productivity, communication, and efficiency of the work. Out of so many programming languages to choose from, python is one of the most loved programming languages among computer geeks. This is because python is one of those rare languages that is both simple and powerful. Python has everything that you may require to make a new program. If you will see someone writing a program in python, you will be really surprised to see how easy it is in python to find the solution for a problem.  

TNQ Sciences is a podcast connected with TNQ’s annual Distinguished Lectures. This lecture series aims to bring internationally renowned scientists face-to-face with the Indian scientific community. The podcast is in the form of an interview of each year’s speaker by a well-known Indian science journalist, Dr Ramaseshan Ramachandran. Each interview attempts to explore the story behind the work of these scientists and the impact of their scientific research.

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.

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.

Are you fascinated by the laws of nature, quantum physics, and its basic concepts that seem meaningless? Quantum mechanics is a field that attempts to understand the behavior of subatomic objects using mathematical notions. The book explains uncertainty and time dependence by further elaborating on the principles of quantum states. It also describes the entanglement of particle and wave states, thereby offering interested listeners the possibility of understanding physics at a slower tempo.

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.

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.

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.

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?

Un estimulante viaje que comienza con la aparición de los números primos—objeto de profundas y sorprendentes investigaciones matemáticas a lo largo de los siglos—y nos lleva hasta los límites del infinito, el número más grande de todos y el único que consigue que las matemáticas y la filosofía encuentren un lugar común.

John Forbes Nash, Jr., a prodigy and legend by the age of 30, dazzled the mathematical world by solving a series of deep problems deemed "impossible" by other mathematicians. But at the height of his fame, Nash suffered a catastrophic mental breakdown and began a harrowing descent into insanity, resigning his post at MIT, slipping into a series of bizarre delusions, and eventually becoming a dreamy, ghostlike figure at Princeton, scrawling numerological messages on blackboards.

Qu’est-ce que le savoir mathématique ? À quoi sert une théorie mathématique ? Et qu’est-ce que faire des mathématiques ? La nature et l’objet des mathématiques restent bien mystérieux, et celles-ci apparaissent souvent abstraites. Les mathématiques ont pourtant une notion bien définie du vrai : est vrai ce qui est démontré. Pour les besoins de la démonstration, précisément, les mathématiques usent d’outils.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

A vibrant account of how measurement has invisibly shaped our world, from ancient civilizations to the modern day.

Are there universal laws of life and can we find them? Is there a physics of society, of ecology, of evolution? Join us for six episodes of thought-provoking insights on the physics of life and its profound implications on our understanding of the universe. In this season of the Santa Fe Institute’s Complexity podcast’s relaunch, we talk to researchers who have been exploring these questions and more through the lens of complexity science. Subscribe now and be part of the exploration!

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.