Exploring RANDOMNESS

Download Exploring RANDOMNESS PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1447103076
Total Pages : 164 pages
Book Rating : 4.4/5 (471 download)

DOWNLOAD NOW!


Book Synopsis Exploring RANDOMNESS by : Gregory J. Chaitin

Download or read book Exploring RANDOMNESS written by Gregory J. Chaitin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'

Randomness

Download Randomness PDF Online Free

Author :
Publisher : Harvard University Press
ISBN 13 : 9780674020771
Total Pages : 260 pages
Book Rating : 4.0/5 (27 download)

DOWNLOAD NOW!


Book Synopsis Randomness by : Deborah J. Bennett

Download or read book Randomness written by Deborah J. Bennett and published by Harvard University Press. This book was released on 2009-07-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancients' first readings of the innards of birds to your neighbor's last bout with the state lottery, humankind has put itself into the hands of chance. Today life itself may be at stake when probability comes into play--in the chance of a false negative in a medical test, in the reliability of DNA findings as legal evidence, or in the likelihood of passing on a deadly congenital disease--yet as few people as ever understand the odds. This book is aimed at the trouble with trying to learn about probability. A story of the misconceptions and difficulties civilization overcame in progressing toward probabilistic thinking, Randomness is also a skillful account of what makes the science of probability so daunting in our own day. To acquire a (correct) intuition of chance is not easy to begin with, and moving from an intuitive sense to a formal notion of probability presents further problems. Author Deborah Bennett traces the path this process takes in an individual trying to come to grips with concepts of uncertainty and fairness, and also charts the parallel path by which societies have developed ideas about chance. Why, from ancient to modern times, have people resorted to chance in making decisions? Is a decision made by random choice fair? What role has gambling played in our understanding of chance? Why do some individuals and societies refuse to accept randomness at all? If understanding randomness is so important to probabilistic thinking, why do the experts disagree about what it really is? And why are our intuitions about chance almost always dead wrong? Anyone who has puzzled over a probability conundrum is struck by the paradoxes and counterintuitive results that occur at a relatively simple level. Why this should be, and how it has been the case through the ages, for bumblers and brilliant mathematicians alike, is the entertaining and enlightening lesson of Randomness.

Exploring Data Science with R and the Tidyverse

Download Exploring Data Science with R and the Tidyverse PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1000918157
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)

DOWNLOAD NOW!


Book Synopsis Exploring Data Science with R and the Tidyverse by : Jerry Bonnell

Download or read book Exploring Data Science with R and the Tidyverse written by Jerry Bonnell and published by CRC Press. This book was released on 2023-08-14 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to data science using R and the tidyverse. No prerequisite knowledge is needed in college-level programming or mathematics (e.g., calculus or statistics). The book is self-contained so readers can immediately begin building data science workflows without needing to reference extensive amounts of external resources for onboarding. The contents are targeted for undergraduate students but are equally applicable to students at the graduate level and beyond. The book develops concepts using many real-world examples to motivate the reader. Upon completion of the text, the reader will be able to: Gain proficiency in R programming Load and manipulate data frames, and "tidy" them using tidyverse tools Conduct statistical analyses and draw meaningful inferences from them Perform modeling from numerical and textual data Generate data visualizations (numerical and spatial) using ggplot2 and understand what is being represented An accompanying R package "edsdata" contains synthetic and real datasets used by the textbook and is meant to be used for further practice. An exercise set is made available and designed for compatibility with automated grading tools for instructor use.

Algorithmic Randomness and Complexity

Download Algorithmic Randomness and Complexity PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387684417
Total Pages : 883 pages
Book Rating : 4.3/5 (876 download)

DOWNLOAD NOW!


Book Synopsis Algorithmic Randomness and Complexity by : Rodney G. Downey

Download or read book Algorithmic Randomness and Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

The Art of Randomness

Download The Art of Randomness PDF Online Free

Author :
Publisher : No Starch Press
ISBN 13 : 1718503245
Total Pages : 402 pages
Book Rating : 4.7/5 (185 download)

DOWNLOAD NOW!


Book Synopsis The Art of Randomness by : Ronald T. Kneusel

Download or read book The Art of Randomness written by Ronald T. Kneusel and published by No Starch Press. This book was released on 2024-03-05 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harness the power of randomness (and Python code) to solve real-world problems in fun, hands-on experiments—from simulating evolution to encrypting messages to making machine-learning algorithms! The Art of Randomness is a hands-on guide to mastering the many ways you can use randomized algorithms to solve real programming and scientific problems. You’ll learn how to use randomness to run simulations, hide information, design experiments, and even create art and music. All you need is some Python, basic high school math, and a roll of the dice. Author Ronald T. Kneusel focuses on helping you build your intuition so that you’ll know when and how to use random processes to get things done. You’ll develop a randomness engine (a Python class that supplies random values from your chosen source), then explore how to leverage randomness to: Simulate Darwinian evolution and optimize with swarm-based search algorithms Design scientific experiments to produce more meaningful results by making them truly random Implement machine learning algorithms like neural networks and random forests Use Markov Chain Monte Carlo methods to sample from complex distributions Hide information in audio files and images, generate art, and create music Reconstruct original signals and images from only randomly sampled data Scientific anecdotes and code examples throughout illustrate how randomness plays into areas like optimization, machine learning, and audio signals. End-of-chapter exercises encourage further exploration. Whether you’re a programmer, scientist, engineer, mathematician, or artist, you’ll find The Art of Randomness to be your ticket to discovering the hidden power of applied randomness and the ways it can transform your approach to solving problems, from the technical to the artistic.

A Computable Universe

Download A Computable Universe PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814447781
Total Pages : 856 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis A Computable Universe by : Hector Zenil

Download or read book A Computable Universe written by Hector Zenil and published by World Scientific. This book was released on 2012-10-30 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, with a Foreword writer Sir Roger Penrose, discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation?How does nature compute? The contributors are world-renowned experts who have helped shape a cutting-edge computational understanding of the universe. They discuss computation in the world from a variety of perspectives, ranging from foundational concepts to pragmatic models to ontological conceptions and philosophical implications. The volume provides a state-of-the-art collection of technical papers and non-technical essays, representing a field that assumes information and computation to be key in understanding and explaining the basic structure underpinning physical reality. It also includes a new edition of Konrad Zuse's “Calculating Space” (the MIT translation), and a panel discussion transcription on the topic, featuring worldwide experts in quantum mechanics, physics, cognition, computation and algorithmic complexity. The volume is dedicated to the memory of Alan M Turing — the inventor of universal computation, on the 100th anniversary of his birth, and is part of the Turing Centenary celebrations. Contents:Foreword (R Penrose)PrefaceAcknowledgementsIntroducing the Computable Universe (H Zenil)Historical, Philosophical & Foundational Aspects of Computation:Origins of Digital Computing: Alan Turing, Charles Babbage, & Ada Lovelace (D Swade)Generating, Solving and the Mathematics of Homo Sapiens. E Post's Views on Computation (L De Mol)Machines (R Turner)Effectiveness (N Dershowitz & E Falkovich)Axioms for Computability: Do They Allow a Proof of Church's Thesis? (W Sieg)The Mathematician's Bias — and the Return to Embodied Computation (S B Cooper)Intuitionistic Mathematics and Realizability in the Physical World (A Bauer)What is Computation? Actor Model versus Turing's Model (C Hewitt)Computation in Nature & the Real World:Reaction Systems: A Natural Computing Approach to the Functioning of Living Cells (A Ehrenfeucht, J Kleijn, M Koutny & G Rozenberg)Bacteria, Turing Machines and Hyperbolic Cellular Automata (M Margenstern)Computation and Communication in Unorganized Systems (C Teuscher)The Many Forms of Amorphous Computational Systems (J Wiedermann)Computing on Rings (G J Martínez, A Adamatzky & H V McIntosh)Life as Evolving Software (G J Chaitin)Computability and Algorithmic Complexity in Economics (K V Velupillai & S Zambelli)Blueprint for a Hypercomputer (F A Doria)Computation & Physics & the Physics of Computation:Information-Theoretic Teleodynamics in Natural and Artificial Systems (A F Beavers & C D Harrison)Discrete Theoretical Processes (DTP) (E Fredkin)The Fastest Way of Computing All Universes (J Schmidhuber)The Subjective Computable Universe (M Hutter)What Is Ultimately Possible in Physics? (S Wolfram)Universality, Turing Incompleteness and Observers (K Sutner)Algorithmic Causal Sets for a Computational Spacetime (T Bolognesi)The Computable Universe Hypothesis (M P Szudzik)The Universe is Lawless or “Pantôn chrêmatôn metron anthrôpon einai” (C S Calude, F W Meyerstein & A Salomaa)Is Feasibility in Physics Limited by Fantasy Alone? (C S Calude & K Svozil)The Quantum, Computation & Information:What is Computation? (How) Does Nature Compute? (D Deutsch)The Universe as Quantum Computer (S Lloyd)Quantum Speedup and Temporal Inequalities for Sequential Actions (M Żukowski)The Contextual Computer (A Cabello)A Gödel-Turing Perspective on Quantum States Indistinguishable from Inside (T Breuer)When Humans Do Compute Quantum (P Zizzi)Open Discussion Section:Open Discussion on A Computable Universe (A Bauer, T Bolognesi, A Cabello, C S Calude, L De Mol, F Doria, E Fredkin, C Hewitt, M Hutter, M Margenstern, K Svozil, M Szudzik, C Teuscher, S Wolfram & H Zenil)Live Panel Discussion (transcription):What is Computation? (How) Does Nature Compute? (C S Calude, G J Chaitin, E Fredkin, A J Leggett, R de Ruyter, T Toffoli & S Wolfram)Zuse's Calculating Space:Calculating Space (Rechnender Raum) (K Zuse)Afterword to Konrad Zuse's Calculating Space (A German & H Zenil) Readership: Graduate students who are specialized researchers in computer science, information theory, quantum theory and modern philosophy and the general public who are interested in these subject areas. Keywords:Digital Physics;Computational Universe;Digital Philosophy;Reality Theories of the Universe;Models of the World;Thring Computation RandomnessKey Features:The authors are all prominent researchersNo competing titlesState-of-the-art collection of technical papers and non-technical essays

Mastering Unity 2D Game Development

Download Mastering Unity 2D Game Development PDF Online Free

Author :
Publisher : Packt Publishing Ltd
ISBN 13 : 1849697353
Total Pages : 693 pages
Book Rating : 4.8/5 (496 download)

DOWNLOAD NOW!


Book Synopsis Mastering Unity 2D Game Development by : Simon Jackson

Download or read book Mastering Unity 2D Game Development written by Simon Jackson and published by Packt Publishing Ltd. This book was released on 2014-08-26 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you have C# knowledge but now want to become truly confident in creating fully functional 2D RPG games with Unity, then this book will show you everything you need to know.

Randomness and Complexity

Download Randomness and Complexity PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812770828
Total Pages : 466 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Randomness and Complexity by : Cristian Calude

Download or read book Randomness and Complexity written by Cristian Calude and published by World Scientific. This book was released on 2007 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin's 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays.

Isotopic Randomness and Self-Organization

Download Isotopic Randomness and Self-Organization PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110606496
Total Pages : 330 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!


Book Synopsis Isotopic Randomness and Self-Organization by : Alexander Berezin

Download or read book Isotopic Randomness and Self-Organization written by Alexander Berezin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material world is made of atoms, and the majority of chemical elements has two or more stable isotopes. The existence of isotopes and their applications are well known. Yet, there is little appreciation of isotopic diversity as a singular phenomenon of nature. This book discusses aspects of isotopic diversity in terms of a singular principle: "isotopicity".

Fooled by Randomness

Download Fooled by Randomness PDF Online Free

Author :
Publisher : Random House
ISBN 13 : 1588367673
Total Pages : 369 pages
Book Rating : 4.5/5 (883 download)

DOWNLOAD NOW!


Book Synopsis Fooled by Randomness by : Nassim Nicholas Taleb

Download or read book Fooled by Randomness written by Nassim Nicholas Taleb and published by Random House. This book was released on 2008-10-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fooled by Randomness is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are The Black Swan, Antifragile, Skin in the Game, and The Bed of Procrustes. Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb–veteran trader, renowned risk expert, polymathic scholar, erudite raconteur, and New York Times bestselling author of The Black Swan–has written a modern classic that turns on its head what we believe about luck and skill. This book is about luck–or more precisely, about how we perceive and deal with luck in life and business. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill–the world of trading–Fooled by Randomness provides captivating insight into one of the least understood factors in all our lives. Writing in an entertaining narrative style, the author tackles major intellectual issues related to the underestimation of the influence of happenstance on our lives. The book is populated with an array of characters, some of whom have grasped, in their own way, the significance of chance: the baseball legend Yogi Berra; the philosopher of knowledge Karl Popper; the ancient world’s wisest man, Solon; the modern financier George Soros; and the Greek voyager Odysseus. We also meet the fictional Nero, who seems to understand the role of randomness in his professional life but falls victim to his own superstitious foolishness. However, the most recognizable character of all remains unnamed–the lucky fool who happens to be in the right place at the right time–he embodies the “survival of the least fit.” Such individuals attract devoted followers who believe in their guru’s insights and methods. But no one can replicate what is obtained by chance. Are we capable of distinguishing the fortunate charlatan from the genuine visionary? Must we always try to uncover nonexistent messages in random events? It may be impossible to guard ourselves against the vagaries of the goddess Fortuna, but after reading Fooled by Randomness we can be a little better prepared. Named by Fortune One of the Smartest Books of All Time A Financial Times Best Business Book of the Year

Mastering Unity 2D Game Development

Download Mastering Unity 2D Game Development PDF Online Free

Author :
Publisher : Packt Publishing Ltd
ISBN 13 : 1786462338
Total Pages : 496 pages
Book Rating : 4.7/5 (864 download)

DOWNLOAD NOW!


Book Synopsis Mastering Unity 2D Game Development by : Ashley Godbold

Download or read book Mastering Unity 2D Game Development written by Ashley Godbold and published by Packt Publishing Ltd. This book was released on 2016-10-21 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master everything you need to build a 2D game using Unity 5 by developing a complete RPG game framework! About This Book Explore the new features of Unity 5 and recognize obsolete code and elements. Develop and build a complete 2D retro RPG with a conversation system, inventory, random map battles, full game menus, and sound. This book demonstrates how to use the new Unity UI system effectively through detailed C# scripts with full explanations. Who This Book Is For This book is for anyone looking to get started developing 2D games with Unity 5. If you're already accomplished in Unity 2D and wish to expand or supplement your current Unity knowledge, or are working in 2D in Unity 4 and looking to upgrade Unity 5, this book is for you. A basic understanding of programming logic is needed to begin learning with this book, but intermediate and advanced programming topic are explained thoroughly so that coders of any level can follow along. Previous programming experience in C# is not required. What You Will Learn Create a 2D game in Unity 5 by developing a complete retro 2D RPG framework. Effectively manipulate and utilize 2D sprites. Create 2D sprite animations and trigger them effectively with code. Write beginning to advanced-level C# code using MonoDevelop. Implement the new UI system effectively and beautifully. Use state machines to trigger events within your game. In Detail The Unity engine has revolutionized the gaming industry, by making it easier than ever for indie game developers to create quality games on a budget. Hobbyists and students can use this powerful engine to build 2D and 3D games, to play, distribute, and even sell for free! This book will help you master the 2D features available in Unity 5, by walking you through the development of a 2D RPG framework. With fully explained and detailed C# scripts, this book will show you how to create and program animations, a NPC conversation system, an inventory system, random RPG map battles, and full game menus. After your core game is complete, you'll learn how to add finishing touches like sound and music, monetization strategies, and splash screens. You'll then be guided through the process of publishing and sharing your game on multiple platforms. After completing this book, you will have the necessary knowledge to develop, build, and deploy 2D games of any genre! Style and approach This book takes a step-by-step practical tutorial style approach. The steps are accompanied by examples, and all the intermediate steps will be clearly explained. The focus of this book will obviously be on the advanced topics so that the game looks and performs efficiently.

Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society

Download Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society PDF Online Free

Author :
Publisher : Psychology Press
ISBN 13 : 9780805841527
Total Pages : 1204 pages
Book Rating : 4.8/5 (415 download)

DOWNLOAD NOW!


Book Synopsis Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society by : Johanna D. Moore

Download or read book Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society written by Johanna D. Moore and published by Psychology Press. This book was released on 2001 with total page 1204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. includes all papers and posters presented at 2001 Cog Sci Mtg & summaries of symposia & invited addresses. Deals w/ issues of repres & model'g cog processes. Appeals to scholars in subdisciplines that comprise Cog Sci: Psych, Computr Sci, Neuro, Lin

Genetics and Randomness

Download Genetics and Randomness PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1420078879
Total Pages : 186 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!


Book Synopsis Genetics and Randomness by : Anatoly Ruvinsky

Download or read book Genetics and Randomness written by Anatoly Ruvinsky and published by CRC Press. This book was released on 2009-07-28 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes Randomness in Major Genetic Processes and EventsNo matter how far science advances, the proportion of what is knowable to what is random will remain unchanged, and attempts to ignore this critical threshold are futile at best. With the revolutionary explosion in genetic information discovery, it is crucially important to recognize the unde

Sortition

Download Sortition PDF Online Free

Author :
Publisher : Andrews UK Limited
ISBN 13 : 1845407008
Total Pages : 180 pages
Book Rating : 4.8/5 (454 download)

DOWNLOAD NOW!


Book Synopsis Sortition by : Gil Delannoi

Download or read book Sortition written by Gil Delannoi and published by Andrews UK Limited. This book was released on 2016-10-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the up-and-coming academic interest in sortition. It is based on contributions to the first international conference dedicated to the subject held at the University of Political Science (Sciences-Po) in Paris in November 2008. The papers explore important theoretical questions such as how we should recognise and define differing lottery forms; the relationship between sortition and different aspects and forms of democracy; and its potential benefits to current political and commercial practice. Contributors include: Hubertus Buchstein, Gil Delannoi, Oliver Dowlen, Gerhard G”hler, Barbara Goodwin, Michael Hein, Yves Sintomer, Peter Stone and Antoine Vergne.

Information and Randomness

Download Information and Randomness PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662030497
Total Pages : 252 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!


Book Synopsis Information and Randomness by : Cristian Calude

Download or read book Information and Randomness written by Cristian Calude and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Algorithmic information theory (AIT) is the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously", says G.J. Chaitin, one of the fathers of this theory of complexity and randomness, which is also known as Kolmogorov complexity. It is relevant for logic (new light is shed on Gödel's incompleteness results), physics (chaotic motion), biology (how likely is life to appear and evolve?), and metaphysics (how ordered is the universe?). This book, benefiting from the author's research and teaching experience in Algorithmic Information Theory (AIT), should help to make the detailed mathematical techniques of AIT accessible to a much wider audience.

Words and Languages Everywhere

Download Words and Languages Everywhere PDF Online Free

Author :
Publisher : Polimetrica s.a.s.
ISBN 13 : 8876990747
Total Pages : 544 pages
Book Rating : 4.8/5 (769 download)

DOWNLOAD NOW!


Book Synopsis Words and Languages Everywhere by : Solomon Marcus

Download or read book Words and Languages Everywhere written by Solomon Marcus and published by Polimetrica s.a.s.. This book was released on 2007 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Everyday Chaos

Download Everyday Chaos PDF Online Free

Author :
Publisher : MIT Press
ISBN 13 : 0262539691
Total Pages : 257 pages
Book Rating : 4.2/5 (625 download)

DOWNLOAD NOW!


Book Synopsis Everyday Chaos by : Brian Clegg

Download or read book Everyday Chaos written by Brian Clegg and published by MIT Press. This book was released on 2020-10-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and complexity explained, with illuminating examples ranging from unpredictable pendulums to London's wobbly Millennium Bridge. The math we are taught in school is precise and only deals with simple situations. Reality is far more complex. 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. In Everyday Chaos, Brian Clegg explains chaos and complexity for the general reader, with an accessible, engaging text and striking full-color illustrations. By chaos, Clegg means a system where complex interactions make predicting long-term outcomes nearly impossible; complexity means complex interacting systems that have new emergent properties that make them more than the sum of their parts. Clegg illustrates these phenomena with discussions of predictable randomness, the power of probability, and the behavior of pendulums. He describes what Newton got wrong about gravity; how feedback kept steam engines from exploding; and why weather produces chaos. He considers the stock market, politics, bestseller lists, big data, and London's wobbling Millennium Bridge as examples of chaotic systems, and he explains how a better understanding of chaos helps scientists predict more accurately the risk of catastrophic Earth-asteroid collisions. We learn that our brains are complex, self-organizing systems; that the structure of snowflakes exemplifies emergence; and that life itself has been shown to be an emergent property of a complex system.