Modern Mathematics

Volume 3 of The Great Mental Models series focuses on systems and mathematics, simplifying more than twenty-four key concepts from these technical fields into easy-to-understand terms. It provides insights into the unseen mechanisms that influence our environment and teaches you how to apply these principles to benefit your life.

We are living through a revolution in machine learning-powered AI that shows no signs of slowing down. This technology is based on relatively simple mathematical ideas, some of which go back centuries, including linear algebra and calculus, the stuff of seventeenth- and eighteenth-century mathematics. It took the birth and advancement of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see today. In this enlightening book, Anil Ananthaswamy explains the fundamental math behind machine learning.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do.

Struggling with math? Are numbers your number one enemy? Learn the exact thinking tools the top mathematicians use to utilize their math skills in real life and radically change how you shop, save, and think! Achieve your full potential by unlocking your mathematical mind - even if you think you don’t have one. Math is taught in a dull, authoritarian, and limited way. You either know how to do the Pythagorean theorem or you don’t. But, there is so much more to math than mere calculus and geometry.

The Number That Killed Us finally tells the "greatest story never told": how a mysterious financial risk measurement model has ruled the world for two decades and how it repeatedly, and severely, caused market, economic, and social turmoil. This model was the key factor behind the unleashing of the cataclysmic credit crisis that erupted in 2007 and which the effects are still being felt around the world.