Showing titles in Mathematics

With this satirical novella, English schoolmaster Edwin A. Abbott provides both a mathematical fantasy and pointed observations on the social hierarchy of Victorian culture. The narrator, “a Square,” resides in the fictional two-dimensional world of Flatland. When he is visited by a sphere, he is suddenly faced with proof of the existence of three dimensions and is forced to see the limitations of his world.

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"Geometry" is a six-part series that delves into the fascinating world of geometry, from its ancient origins to its modern applications. The journey begins with an introduction to fundamental concepts and the historical significance of Euclid's contributions. It progresses through plane geometry, examining shapes and their properties, and solid geometry, exploring three-dimensional forms. The series then covers coordinate geometry, merging algebra with spatial understanding, and transformational geometry, focusing on shape movements and symmetries. Finally, it ventures into the realms of ...

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

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.

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Whether you are an educator, student, researcher, or administrator, it has become even more critical now more than ever to understand what contextualized math curriculum is and how it can be applied inside an online or face-to-face math classroom. What is contextualized mathematics? What are the foundational research underpinnings of contextualized math curriculum? What have we learned about contextualized math curriculum that will improve math education in the future?

A show about seven of the most tantalizing mysteries in mathematics. Recognized by the Clay Institute as the Millennium Prize Problems, these are the greatest mathematical challenges of the 21st century.Seven unsolved problems, each holding the potential to rewrite reality as we know it. Solve one, and you claim a million dollars. These are not mere equations; they are puzzles that hold the keys to the future.From predicting the chaos of weather to decoding the deepest structures of reality, this show takes you on a treasure hunt—a battle of wits against the unknown. We’ll meet the rebels ...

A podcast on statistical science and clinical trials. Explore the intricacies of Bayesian statistics and adaptive clinical trials. Uncover methods that push beyond conventional paradigms, ushering in data-driven insights that enhance trial outcomes while ensuring safety and efficacy. Join us as we dive into complex medical challenges and regulatory landscapes, offering innovative solutions tailored for pharma pioneers. Featuring expertise from industry leaders, each episode is crafted to provide clarity, foster debate, and challenge mainstream perspectives, ensuring you remain at the forefront...

The Analytical Mind aims to raise the level of your mental performance by focusing on the fundamentals of how to use your mind effectively...The book outlines and presents the methods that good problem solvers use in understanding complex ideas. Then, it provides practice in applying these methods to a variety of comprehension, analytical, and reasoning questions. It also includes a number of logical thinking problems to hone your logical thinking skills.

The Math Myth expands Hacker's scrutiny of many widely held assumptions, like the notions that mathematics broadens our minds and that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country. In fact, Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals.

Welcome to the Civil Engineering 5.0 Podcast! As we embrace the current advances in computer-based technologies, the civil engineering industry has entered an era where the collaboration between artificial and human intelligences presents remarkable opportunities. Understanding and appreciating the mathematical language that has inspired this progress is key to unlocking the full potential of these advanced technologies. This podcast explores emerging digital integration strategies for infrastructure project success. We’ll also share insights to help junior engineers thrive as they train for...

Mental math iѕ the ability to nоt only dо ѕimрlе mаthеmаtiсѕ in your hеаd, but also the not-so-simple mаthеmаtiсѕ as well. Students will роtеntiаllу benefit thе mоѕt frоm thiѕ ѕkill, but реорlе оf all аgеѕ will find thаt hаving thе аbilitу tо dо mаth in your hеаd еnriсhеѕ уоur life in ways you've nеvеr еvеn thought оf before.

Simply put, an algorithm is a set of instructions-it's the code that makes computers run. A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.

As cognitive psychologist Brian Butterworth shows us in Can Fish Count?, many “simple” animals - such as bees, which count trees and fence posts, and guppies, which can size up groups - have a sense of numbers. And unlike humans, they don’t need to be taught. In telling animals’ stories, Butterworth shines new light on one of our most ancient questions: Just where, exactly, do numbers come from?

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.

Thinking Statistically is the book that shows you how to think like a statistician, without worrying about formal statistical techniques. Along the way we learn how selection bias can explain why your boss doesn't know he sucks (even when everyone else does); how to use Bayes' theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything.

Why aren't left-handers extinct? What makes a rainbow round? How is a pancreas...like a pendulum? These may not look like math questions, but they are - because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life - by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea!

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This philosophical essay is the development of a lecture on probabilities which I delivered in 1795 to the normal schools whither I had been called, by a decree of the national convention, as professor of mathematics with Lagrange. I have recently published upon the same subject a work entitled The Analytical Theory of Probabilities. I present here without the aid of analysis the principles and general results of this theory, applying them to the most important questions of life, which are indeed for the most part only problems of probability.