THE MUCH ANTICIPATED THIRD INSTALLMENT IN THE WALL STREET JOURNAL BESTSELLING SERIES 'THE GREAT MENTAL MODELS'. Solve problems. Think with clarity. Achieve your goals. The secret to better decision-making is learning things that won't change. Mastering a small number of versatile concepts with broad applicability enables you to rapidly grasp new areas, identify patterns, and understand how the world works. Don't waste your time on knowledge with an expiry date - focus on the fundamentals. The Farnam Street latticework of mental models gives you the durable cognitive tools you need to avoid problems and make better decisions. A mental model is a representation of how something works. Constructing mental models helps you to navigate the world efficiently and intelligently. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have found mental models indispensable in both solving problems and preventing them in the first place. Cultivating stronger mental models is one of the most powerful things you can do to become a better thinker. The Great Mental Models: Volume 3 covers essential models from mathematics and systems. In part one, you'll learn mental models from systems, helping you see unexpected connections and avoid costly mistakes. You'll discover how these concepts govern the behaviors and interactions in your life. Part one covers topics such as how to: Identify the right feedback loops to adjust for behavior change (your own and others') Leverage bottlenecks to supercharge your innovative capabilities Scale up businesses and other endeavors without damaging their longevity Reduce risk and preventing disaster by knowing when to incorporate a margin of safety Construct reliable algorithms in your mind for predictable success to get the results you want every time In part two, you'll learn mental models from mathematics that reveal logical patterns in the world. This isn't your high school math class. Part two covers topics such as how to: Reap exponential gains by investing in knowledge, relationships, and experiences that compound Utilize the surprising power of sample sizes to reshape your perspective and open your mind Embrace randomness to become less predictable and more creative Identify the fundamental components of systems that lead to failure if neglected - so you can focus your energy where it matters most Mastering The Great Mental Models helps you thrive in an uncertain world. The right cognitive tools prepare you for any type of challenge. From parenting to healthy eating, relationships to personal productivity, and from learning to product design, this book will give you new lenses for understanding life. A wonderful resource you'll keep returning to year after year. As you incorporate the models in this book into your mental toolbox, you'll see the world with fresh eyes. START BUILDING YOUR LATTICEWORK TODAY! Praise for The Great Mental Models series: "I'm really glad this exists in the world and I can see that I will be recommending it often." -- Matt Mullenweg, co-founder of WordPress, founder and CEO of Automattic "If you've read Charlie Munger's Almanack this is the book you deeply crave in its wake. ... Learn the big ideas from the big disciplines and you'll be able to twist and turn problems in interesting ways at unprecedented speeds. ... You owe yourself this book." -- Simon Eskildsen "This is what non-fiction books should aspire to be like. Informative, concise, universal, practical, visual, sharing stories and examples for context. Definitely, a must-read if you're into universal multi-disciplinary thinking." -- Carl Rannaberg "I can truly say it is one of the best books I've ever had the pleasure of getting lost in. I loved the book and the challenges to conventional wisdom and thinking it presents." -- Rod Berryman "Want to learn? Read This! This should be a standard text for high school and university students." -- Code Cubitt

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.

This is the second book in The Great Mental Models series and the highly anticipated follow up to the Wall Street Journal best seller, Volume 1: General Thinking Concepts. We tend to isolate the things we know in the domain we learned it. For example: What does the inertia of a rolling stone have to do with perseverance and being open minded? How can the ancient process of steel production make you a more creative and innovative thinker? What does the replication of our skin cells have to do with being a stronger and more effective leader? On the surface, these concepts may appear to be dissimilar and unrelated. But the surprising truth is the hard sciences (physics, chemistry, and biology) offer a wealth of useful tools you can use to develop critically important skills like: * Relationship building * Leadership * Communication * Creativity * Curiosity * Problem solving * Decision-making This second volume of the Great Mental Models series shows you how to make those connections. It explores the core ideas from the hard sciences and offers nearly two dozen models to add to your mental toolbox. You'll not only get a better understanding of the forces that influence the world around you, but you'll learn how to direct those forces to create outsized advantages in the areas of your life that matter most to you.

The new branch of science which will reveal how to avoid the rush hour, overcome cancer, and find the perfect date What do traffic jams, stock market crashes, and wars have in common? They are all explained using complexity, an unsolved puzzle that many researchers believe is the key to predicting - and ultimately solving - everything from terrorist attacks and pandemic viruses right down to rush hour traffic congestion. Complexity is considered by many to be the single most important scientific development since general relativity and promises to make sense of no less than the very heart of the Universe. Using it, scientists can find order emerging from seemingly random interactions of all kinds, from something as simple as flipping coins through to more challenging problems such as predicting shopping habits, the patterns in modern jazz, and the growth of cancer tumours.

From the New York Times bestselling author of Clear Thinking and Farnam Street founder, Shane Parrish. The third book in the timeless Great Mental Models series. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. 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. Some of the mental models covered in this book include: Margin of Safety: Engineers design for extremes, not averages. To create a robust system, ensure a meaningful gap between what the system is capable of handling and what it is required to handle. Compounding: The most powerful force in the universe can work in domains other than money. The law of diminishing returns: Inputs to a system lead to more output, up until a point where each further unit of input will lead to a decreasing amount of output. Regression to the mean: Above- or below- average performance tends to correct towards the average over the long term. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.

An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory