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Game theory plays a crucial role in our lives and provides startling insights into all endeavors in which humans cooperate or compete, including biology, computer science, politics, agriculture, and, most importantly, economics. Game theory is used in economics, corporate decision-making, international diplomacy and military strategy, psychology, and evolutionary biology. Game theory is observable in everyday situations like buying a car, or deciding...
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Ready to exercise those brain cells? Professor Arthur T. Benjamin is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and in this series, he shows that there are simple tricks that allow anyone to look like a math magician. Throughout these lectures, he shows how everything in mathematics is connected--how the beautiful and often imposing edifice that has given us algebra, geometry,...
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This course takes a mathematical approach to playing games and solving puzzles. In this course, you will be introduced to all kinds of games, from games of pure strategy (like chess) to games of pure luck (like many casino games) to games that mix strategy and luck (like blackjack, backgammon, and poker). You will analyze puzzles that have stumped people for centuries to modern favorites like sudoku and Rubik's Cube. You will improve your ability...
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"Understanding the connections between music and mathematics helps you appreciate both, even if you have no special ability in either field--from knowing the mathematics behind tuning an instrument to understanding the features that define your favorite pieces. By exploring the mathematics of music, you also learn why non-Western music sounds so different, gain insight into the technology of modern sound reproduction, and start to hear the world around...
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Presents a collection lectures on topics that reveal the rich, wondrous structure of what we see around us. Patterns in nature are the source of our geometrical understanding of the world. Abstracting those patterns leads to concepts from classical geometry. Extensions of those and other ideas of form have created a landscape of mathematical ideas, including Euclidean geometry, non-Euclidean geometries, symmetry groups, and graph theory.
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An authoriative guide to the mathematical shapes around us: how they're formed, how they're studied, and how they're applied to our everyday lives. With these lectures you will discover the intricate relationship between mathematics and nature, get a pointed introduction to the language mathematicians use to study shapes and dimensions, and learn how to finally make sense of this abstract intriguing subject.
9) Algebra II
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English
Description
Algebra II is the fork in the road. Those who succeed in this second part of the algebra sequence are well on their way to calculus and higher mathematics, which open the door to careers in science, engineering, medicine, economics, information technology, and many other fields. Algebra II starts by reviewing functions, graphing, and polynomials from Algebra I, and then introduces new topics, such as conic sections, roots and radicals, exponential...
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Discrete mathematics is a subject that--while off the beaten track--has vital applications in computer science, cryptography, engineering, and problem solving of all types. Discrete mathematics deals with quantities that can be broken into neat little pieces, like pixels on a computer screen, the letters or numbers in a password, or directions on how to drive from one place to another. Like a digital watch, discrete mathematics is that in which numbers...
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In the 17th century, scientist and mathematician Galileo Galilei noted that the book of nature "cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. It is written in the language of mathematics . . . without which it is not humanly possible to understand a single word of it." The same feeling prompted German mathematician Carl Friedrich Gauss to call mathematics the "queen of the sciences"...
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