Probability, Random Variables and Stochastic Processes with Errata Sheet


Athanasios Papoulis - 2001
    Unnikrishna Pillai of Polytechnic University. The book is intended for a senior/graduate level course in probability and is aimed at students in electrical engineering, math, and physics departments. The authors' approach is to develop the subject of probability theory and stochastic processes as a deductive discipline and to illustrate the theory with basic applications of engineering interest. Approximately 1/3 of the text is new material--this material maintains the style and spirit of previous editions. In order to bridge the gap between concepts and applications, a number of additional examples have been added for further clarity, as well as several new topics.

This Time Is Different: Eight Centuries of Financial Folly


Carmen M. Reinhart - 2009
    Each time, the experts have chimed, "this time is different"--claiming that the old rules of valuation no longer apply and that the new situation bears little similarity to past disasters. With this breakthrough study, leading economists Carmen Reinhart and Kenneth Rogoff definitively prove them wrong. Covering sixty-six countries across five continents, This Time Is Different presents a comprehensive look at the varieties of financial crises, and guides us through eight astonishing centuries of government defaults, banking panics, and inflationary spikes--from medieval currency debasements to today's subprime catastrophe. Carmen Reinhart and Kenneth Rogoff, leading economists whose work has been influential in the policy debate concerning the current financial crisis, provocatively argue that financial combustions are universal rites of passage for emerging and established market nations. The authors draw important lessons from history to show us how much--or how little--we have learned. Using clear, sharp analysis and comprehensive data, Reinhart and Rogoff document that financial fallouts occur in clusters and strike with surprisingly consistent frequency, duration, and ferocity. They examine the patterns of currency crashes, high and hyperinflation, and government defaults on international and domestic debts--as well as the cycles in housing and equity prices, capital flows, unemployment, and government revenues around these crises. While countries do weather their financial storms, Reinhart and Rogoff prove that short memories make it all too easy for crises to recur. An important book that will affect policy discussions for a long time to come, This Time Is Different exposes centuries of financial missteps.

In Pursuit of the Unknown: 17 Equations That Changed the World


Ian Stewart - 2012
    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

xkcd: volume 0


Randall Munroe - 2009
    While it's practically required reading in the geek community, xkcd fans are as varied as the comic's subject matter. This book creates laughs from science jokes on one page to relationship humor on another.xkcd: volume 0 is the first book from the immensely popular webcomic with a passionate readership (just Google "xkcd meetup").The artist selected personal and fan favorites from his first 600 comics. It was lovingly assembled from high-resolution original scans of the comics (the mouseover text is discreetly included), and features a lot of doodles, notes, and puzzles in the margins.The book is published by Breadpig, which donates all of the publisher profits from this book to Room to Read for promoting literacy in the developing world.

Buffett: The Making of an American Capitalist


Roger Lowenstein - 1995
    His awesome investment record has made him a cult figure popularly known for his seeming contradictions: a billionaire who has a modest lifestyle, a phenomenally successful investor who eschews the revolving-door trading of modern Wall Street, a brilliant dealmaker who cultivates a homespun aura.Journalist Roger Lowenstein draws on three years of unprecedented access to Buffett’s family, friends, and colleagues to provide the first definitive, inside account of the life and career of this American original. Buffett explains Buffett’s investment strategy—a long-term philosophy grounded in buying stock in companies that are undervalued on the market and hanging on until their worth invariably surfaces—and shows how it is a reflection of his inner self.

Gladiators, Pirates and Games of Trust: How Game Theory, Strategy and Probability Rule Our Lives


Haim Shapira - 2017
    Game Theory is the mathematical formalization of interactive decision-making - it assumes that each player's goal is to maximize his/her benefit, whatever it may be. Players may be friends, foes, political parties, states, or any entity that behaves interactively, whether collectively or individually. One of the problems with game analysis is the fact that, as a player, it's very hard to know what would benefit each of the other players; some of us are not even clear about our own goals or what might actually benefit us. Haim Shapira uses multiple examples to explain what Game Theory is and how the different interactions between decision-makers can play out. In this book you will: Meet the Nobel Laureate John F Nash and familiarize yourself with his celebrated equilibrium Learn the basic ideas of the art of negotiation Visit the gladiators' ring and apply for a coaching position Build an airport and divide inheritance Issue ultimatums and learn to trust

Amusements in Mathematics


Henry Ernest Dudeney - 1917
    Intriguing, witty, paradoxical productions of one of the world's foremost creators of puzzles.This book was converted from its physical edition to the digital format by a community of volunteers. You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

Linear Algebra


Stephen H. Friedberg - 1979
     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Super Crunchers: Why Thinking-By-Numbers Is the New Way to Be Smart


Ian Ayres - 2007
    In this lively and groundbreaking new book, economist Ian Ayres shows how today's best and brightest organizations are analyzing massive databases at lightening speed to provide greater insights into human behavior. They are the Super Crunchers. From internet sites like Google and Amazon that know your tastes better than you do, to a physician's diagnosis and your child's education, to boardrooms and government agencies, this new breed of decision makers are calling the shots. And they are delivering staggeringly accurate results. How can a football coach evaluate a player without ever seeing him play? Want to know whether the price of an airline ticket will go up or down before you buy? How can a formula outpredict wine experts in determining the best vintages? Super crunchers have the answers. In this brave new world of equation versus expertise, Ayres shows us the benefits and risks, who loses and who wins, and how super crunching can be used to help, not manipulate us.Gone are the days of solely relying on intuition to make decisions. No businessperson, consumer, or student who wants to stay ahead of the curve should make another keystroke without reading Super Crunchers.

Irrational Exuberance


Robert J. Shiller - 2000
    The original and bestselling 2000 edition of Irrational Exuberance evoked Alan Greenspan’s infamous 1996 use of that phrase to explain the alternately soaring and declining stock market. It predicted the collapse of the tech stock bubble through an analysis of the structural, cultural, and psychological factors behind levels of price growth not reflected in any other sector of the economy. In the second edition (2005), Shiller folded real estate into his analysis of market volatility, marshalling evidence that housing prices were dangerously inflated as well, a bubble that could soon burst, leading to a “string of bankruptcies” and a “worldwide recession.” That indeed came to pass, with consequences that the 2009 preface to this edition deals with. Irrational Exuberance is more than ever a cogent, chilling, and astonishingly far-seeing analytical work that no one with any money in any market anywhere can afford not to read–and heed.

Calculus with Analytic Geometry


Earl W. Swokowski - 1979
    

Elements of Partial Differential Equations


Ian N. Sneddon - 2006
    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

Harrington on Cash Games: How to Win at No-Limit Hold 'em Money Games, Volume I


Dan Harrington - 2008
    Recently, however, players have been gravitating to another, even more complex form of hold em no-limit cash games. In Harrington on Cash Games: Volume I, Dan Harrington teaches you the key concepts that drive deep-stack cash game play. You ll learn how to tailor your selection of starting hands to your stack size, how to recognize the increasing deception value of supposedly weaker hands as the stack sizes increase, and how to use the concept of pot commitment to your advantage as the size of the pot grows. After laying out the general concepts behind deep-stack cash game play, Harrington shows you a complete strategy for post-flop play, and then teaches you the difference between post-flop play against a single opponent and post-flop play against multiple opponents. If you play no-limit hold em cash games, you need to read this book. Dan Harrington won the gold bracelet and the World Champion title at the $10,000 buy-in No-Limit Hold em Championship at the 1995 World Series of Poker. And he was the only player to make the final table in 2003 (field of 839) and 2004 (field of 2,576) considered by cognoscenti to be the greatest accomplishment in WSOP history. In Harrington on Cash Games, Harrington and two-time World Backgammon Champion Bill Robertie have written the definitive books on no-limit cash games. These books will teach you what you need to know to be a winner in the cash game world.

Numbers Don't Lie: 71 Things You Need to Know About the World


Vaclav Smil - 2020
    There's a wonderful mix of science, history and wit, all in bite-sized chapters on a broad range of topics.Urgent and essential, Numbers Don't Lie inspires readers to interrogate what they take to be true in these significant times. Smil is on a mission to make facts matter, because after all, numbers may not lie, but which truth do they convey?'The best book to read to better understand our world. Once in a while a book comes along that helps us see our planet more clearly. By showing us numbers about science, health, green technology and more, Smil's book does just that. It should be on every bookshelf!' Linda Yueh, author of The Great Economists'He is rigorously numeric, using data to illuminate every topic he writes about. The word "polymath" was invented to describe people like him' Bill Gates 'Important' Mark Zuckerberg, on Energy 'One of the world's foremost thinkers on development history and a master of statistical analysis . . . The nerd's nerd' Guardian 'There is perhaps no other academic who paints pictures with numbers like Smil' Guardian 'In a world of specialized intellectuals, Smil is an ambitious and astonishing polymath who swings for fences . . . They're among the most data-heavy books you'll find, with a remarkable way of framing basic facts' Wired 'He's a slayer of bullshit' David Keith, Gordon McKay Professor of Applied Physics & Professor of Public Policy, Harvard UniversityVaclav Smil is Distinguished Professor Emeritus at the University of Manitoba. He is the author of over forty books on topics including energy, environmental and population change, food production and nutrition, technical innovation, risk assessment and public policy. No other living scientist has had more books (on a wide variety of topics) reviewed in Nature. A Fellow of the Royal Society of Canada, in 2010 he was named by Foreign Policy as one of the Top 100 Global Thinkers. This is his first book for a more general readership.

How to Lie with Statistics


Darrell Huff - 1954
    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.