The interferometer from the previous lecture serves as a test case for introducing the formal math of quantum theory. By learning a few symbols and rules, you can describe the states of quantum particles, show how these states change over time, and predict the results of measurements.

Provides an introduction to probability, statistics, ratios and proportions.

"Adhering to state and national math standards, this informative volume introduces readers to a world they may know little about: statistics and probability. In an effort to better forecast the future for gains and combat the potential losses of uncertainty, numerous areas have come to rely on the power of these disciplines. This book introduces the historical and mathematical basis of statistics and probability, as well as their application to everyday...

Presents over four hundred thousand statements of probability that capture who we are and how we live today, providing statistics on such topics as love, sex, health, education, religion, and drug use.

Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.

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...

"Trying to understand a system with multiple interacting components - the weather, for example, or the human body, or the stock market - means dealing with two factors: chaos and complexity. If we don't understand these two essential subjects, we can't understand the real world"--Back cover.

"In a changing world, forecasts and numbers usually represent bogus quantification. Kay and King tell us how to think smarter. Radical uncertainty changes the way we should think about decision-making. For over half a century economics has assumed that people behave rationally by optimizing among well-defined choices. Behavioral economics questioned how far people are rational, pointing to the cognitive biases that seem to describe actual behavior....

Includes all 26 episodes from the 6th season.

Learn to perform basic data-analysis tasks, from measuring covariance and correlation to testing hypotheses and calculating Bayesian probabilities, with these Excel tutorials. Microsoft Excel is an important tool for information workers that design and perform data analysis. This course provides an overview of the fundamentals, from performing common calculations to conducting Bayesian analysis with Excel. Author Curt Frye starts with the foundational...