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.

Modern Portfolio Theory and Investment Analysis


Edwin J. Elton - 1980
    It stresses the economic intuition behind the subject matter while presenting advanced concepts of investment analysis and portfolio management. Readers will also discover the strengths and weaknesses of modern portfolio theory as well as the latest breakthroughs.

Discrete Mathematics


Richard Johnsonbaugh - 1984
    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

Technical Analysis of Stock Trends


Robert D. Edwards - 1948
    It revolutionized technical investment approaches and showed traders and investors how to make money regardless of what the market is doing. Now in its ninth edition, the book remains the benchmark by which all other investment methodologies are measured. An indispensable reference for technical traders, investors, and finance professionals, the ninth edition features:* Expanded treatment of Magee's ""basing points"" procedure* In-depth discussion and dissection of Dow Theory* Extensive new material on commodity trading* Much-needed perspective on short-term and futures tradingThe newest incarnation of one of the true classics of market analysis, this book will be a crucial resource for both seasoned veterans and the new generation alike."

Convex Optimization


Stephen Boyd - 2004
    A comprehensive introduction to the subject, this book shows in detail how such problems can be solved numerically with great efficiency. The focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. The text contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance, and economics.

Why Stock Markets Crash: Critical Events in Complex Financial Systems


Didier Sornette - 2002
    In this book, Didier Sornette boldly applies his varied experience in these areas to propose a simple, powerful, and general theory of how, why, and when stock markets crash.Most attempts to explain market failures seek to pinpoint triggering mechanisms that occur hours, days, or weeks before the collapse. Sornette proposes a radically different view: the underlying cause can be sought months and even years before the abrupt, catastrophic event in the build-up of cooperative speculation, which often translates into an accelerating rise of the market price, otherwise known as a "bubble." Anchoring his sophisticated, step-by-step analysis in leading-edge physical and statistical modeling techniques, he unearths remarkable insights and some predictions--among them, that the "end of the growth era" will occur around 2050.Sornette probes major historical precedents, from the decades-long "tulip mania" in the Netherlands that wilted suddenly in 1637 to the South Sea Bubble that ended with the first huge market crash in England in 1720, to the Great Crash of October 1929 and Black Monday in 1987, to cite just a few. He concludes that most explanations other than cooperative self-organization fail to account for the subtle bubbles by which the markets lay the groundwork for catastrophe.Any investor or investment professional who seeks a genuine understanding of looming financial disasters should read this book. Physicists, geologists, biologists, economists, and others will welcome "Why Stock Markets Crash" as a highly original "scientific tale," as Sornette aptly puts it, of the exciting and sometimes fearsome--but no longer quite so unfathomable--world of stock markets.

Inefficient Markets: An Introduction to Behavioral Finance


Andrei Shleifer - 2000
    It states that securities prices in financial markets must equal fundamental values, either because all investors are rational or because arbitrage eliminates pricing anomalies. This bookdescribes an alternative approach to the study of financial markets: behavioral finance. This approach starts with an observation that the assumptions of investor rationality and perfect arbitrage are overwhelmingly contradicted by both psychological and institutional evidence. In actualfinancial markets, less than fully rational investors trade against arbitrageurs whose resources are limited by risk aversion, short horizons, and agency problems. The book presents models of such markets. These models explain the available financial data more accurately than the efficient marketshypothesis, and generate new predictions about security prices. By summarizing and expanding the research in behavioral finance, the book builds a new theoretical and empirical foundation for the economic analysis of real-world markets.

Mostly Harmless Econometrics: An Empiricist's Companion


Joshua D. Angrist - 2008
    In the modern experimentalist paradigm, these techniques address clear causal questions such as: Do smaller classes increase learning? Should wife batterers be arrested? How much does education raise wages? Mostly Harmless Econometrics shows how the basic tools of applied econometrics allow the data to speak.In addition to econometric essentials, Mostly Harmless Econometrics covers important new extensions--regression-discontinuity designs and quantile regression--as well as how to get standard errors right. Joshua Angrist and Jorn-Steffen Pischke explain why fancier econometric techniques are typically unnecessary and even dangerous. The applied econometric methods emphasized in this book are easy to use and relevant for many areas of contemporary social science.An irreverent review of econometric essentials A focus on tools that applied researchers use most Chapters on regression-discontinuity designs, quantile regression, and standard errors Many empirical examples A clear and concise resource with wide applications

Game Theory


Drew Fudenberg - 1991
    The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu

Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications


Tom M. Apostol - 1962
    Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

How to Count to Infinity


Marcus du Sautoy - 2020
    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

Radical Markets: Uprooting Capitalism and Democracy for a Just Society


Eric A. Posner - 2018
    The solution is to rein in the market, right? Radical Markets turns this thinking--and pretty much all conventional thinking about markets, both for and against--on its head. The book reveals bold new ways to organize markets for the good of everyone. It shows how the emancipatory force of genuinely open, free, and competitive markets can reawaken the dormant nineteenth-century spirit of liberal reform and lead to greater equality, prosperity, and cooperation.Eric Posner and Glen Weyl demonstrate why private property is inherently monopolistic, and how we would all be better off if private ownership were converted into a public auction for public benefit. They show how the principle of one person, one vote inhibits democracy, suggesting instead an ingenious way for voters to effectively influence the issues that matter most to them. They argue that every citizen of a host country should benefit from immigration--not just migrants and their capitalist employers. They propose leveraging antitrust laws to liberate markets from the grip of institutional investors and creating a data labor movement to force digital monopolies to compensate people for their electronic data.Only by radically expanding the scope of markets can we reduce inequality, restore robust economic growth, and resolve political conflicts. But to do that, we must replace our most sacred institutions with truly free and open competition--Radical Markets shows how.

Philip A. Fisher Collected Works: Common Stocks and Uncommon Profits / Paths to Wealth through Common Stocks / Conservative Investors Sleep Well / Developing an Investment Philosophy


Philip A. Fisher - 2012
    FisherRegarded as one of the pioneers of modern investment theory, Philip A. Fisher's investment principles are studied and used by contemporary finance professionals including Warren Buffett. Fisher was the first to consider a stock's worth in terms of potential growth instead of just price trends and absolute value. His principles espouse identifying long-term growth stocks and their emerging value as opposed to choosing short-term trades for initial profit. Now, for the first time ever, Philip Fisher Investment Classics brings together four classic titles, written by the man who is know as the "Father of Growth Investing." Common Stocks and Uncommon Profits was the first investing book to reach the New York Times bestseller list. Outlining a 15-step process for identifying profitable stocks, it is one of the most influential investing books of all time Paths to Wealth Through Common Stocks, expands the innovative ideas in Fisher's highly regarded Common Stocks and Uncommon Profits, and explores how profits have been, and will continue to be made, through common stock ownership—asserting why this method can increase profits and reduce risk Also included is Conservative Investors Sleep Well and Developing an Investment Philosophy Designed with the serious investor in mind, Philip Fisher Investment Classics puts the insights of one of the greatest investment minds of our time at your fingertips.

A Course in Game Theory


Martin J. Osborne - 1994
    The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises. Solution ManualTable of Contents, Errata, and more...

The House Advantage: Playing the Odds to Win Big In Business


Jeffrey Ma - 2010
    Years later, Ma has inspired not only a bestselling novel and hit movie, but has also started three different companies—the latest of which, Citizen Sports, is an innovative marriage of sports, betting, and digital technology—and launched a successful corporate speaking career. The House Advantage reveals Ma's cutting-edge mathematical insights into the world of statistics and makes them applicable to a wide business audience. He argues that numbers are the key to analyzing nearly everything in the world of business, from how to spot and profit from global market inefficiencies to having multiple backup plans in anticipation of every probability. Ma's stories and business lessons are as intriguing as they are universally applicable.