Godel: A Life Of Logic, The Mind, And Mathematics
John L. Casti - 2000
His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.
How to Build a Brain and 34 Other Really Interesting Uses of Maths
Richard Elwes - 2010
You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.
Introduction to Classical Mechanics: With Problems and Solutions
David Morin - 2007
It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
Philosophy of Mathematics: Selected Readings
Paul Benacerraf - 1983
In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Die with Zero: Getting All You Can from Your Money and Your Life
Bill Perkins - 2020
You worked hard, saved your money, and looked forward to financial freedom when you retired. The only thing you wasted along the way was…your life. Die with Zero presents a startling new and provocative philosophy as well as practical guide on how to get the most out of your money—and out of your life. It’s intended for those who place lifelong memorable experiences far ahead of simply making and accumulating money for one’s so-called Golden Years. In short, Bill Perkins wants to rescue you from over-saving and under-living. Regardless of your age, Die with Zero will teach you Perkins’ plan for optimizing your life, stage by stage, so you’re fully engaged and enjoying what you’ve worked and saved for. You’ll discover how to maximize your lifetime memorable moments with “experience bucketing,” how to convert your earnings into priceless memories by following your “net worth curve,” and find out how to navigate whether to invest in, or delay, a meaningful adventure based on your “spend curve” and “personal interest rate.” Using his own life experiences as well as the inspiring stories and cautionary tales of others—and drawing on eye-opening insights about time, money, and happiness from psychological science and behavioral finance —Perkins makes a timely, convincing, and contrarian case for living large.
What I Learned Losing a Million Dollars
Jim Paul - 1994
In this honest, frank analysis, Paul and Brendan Moynihan revisit the events that led to Paul's disastrous decision and examine the psychological factors behind bad financial practices in several economic sectors.This book—winner of a 2014 Axiom Business Book award gold medal—begins with the unbroken string of successes that helped Paul achieve a jet-setting lifestyle and land a key spot with the Chicago Mercantile Exchange. It then describes the circumstances leading up to Paul's $1.6 million loss and the essential lessons he learned from it—primarily that, although there are as many ways to make money in the markets as there are people participating in them, all losses come from the same few sources.Investors lose money in the markets either because of errors in their analysis or because of psychological barriers preventing the application of analysis. While all analytical methods have some validity and make allowances for instances in which they do not work, psychological factors can keep an investor in a losing position, causing him to abandon one method for another in order to rationalize the decisions already made. Paul and Moynihan's cautionary tale includes strategies for avoiding loss tied to a simple framework for understanding, accepting, and dodging the dangers of investing, trading, and speculating.
The Wizard of Quarks: A Fantasy of Particle Physics
Robert Gilmore - 2000
This time physicist Robert Gilmore takes us on a journey with Dorothy, following the yellow building block road through the land of the Wizard of Quarks. Using characters and situations based on the Wizard of Oz story, we learn along the way about the fascinating world of particle physics. Classes of particles, from quarks to leptons are shown in an atomic garden, where atoms and molecules are produced. See how Dorothy, The Tin Geek, and the Cowardly Lion experience the bizarre world of subatomic particles.
The Data Detective: Ten Easy Rules to Make Sense of Statistics
Tim Harford - 2020
That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.
Scarcity: Why Having Too Little Means So Much
Sendhil Mullainathan - 2013
Busy people fail to manage their time efficiently for the same reasons the poor and those maxed out on credit cards fail to manage their money. The dynamics of scarcity reveal why dieters find it hard to resist temptation, why students and busy executives mismanage their time, and why sugarcane farmers are smarter after harvest than before. Once we start thinking in terms of scarcity and the strategies it imposes, the problems of modern life come into sharper focus.Mullainathan and Shafir discuss how scarcity affects our daily lives, recounting anecdotes of their own foibles and making surprising connections that bring this research alive. Their book provides a new way of understanding why the poor stay poor and the busy stay busy, and it reveals not only how scarcity leads us astray but also how individuals and organizations can better manage scarcity for greater satisfaction and success.http://us.macmillan.com/scarcity/Send...
Game Theory at Work: How to Use Game Theory to Outthink and Outmaneuver Your Competition
James D. Miller - 2003
It has also often required oppressive and incomprehensible mathematics. Game Theory at Work steers around math and pedagogy to make this innovative tool accessible to a larger audience and allow all levels of business to use it to both improve decision-making skills and eliminate potentially lethal uncertainty.This proven tool requires everyone in an organization to look at the competition, guage his or her own responses to their actions, and then establish an appropriate strategy. Game Theory at Work will help business leaders at all levels improve their overall performance in:NegotiatingDecision makingEstablishing strategic alliancesMarketingPositioningBrandingPricing
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
Michael Spivak - 1965
The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.
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.
How to Ace Calculus: The Streetwise Guide
Colin Conrad Adams - 1998
Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
The Innovator's Dilemma: The Revolutionary Book that Will Change the Way You Do Business
Clayton M. Christensen - 1997
Christensen says outstanding companies can do everything right and still lose their market leadership -- or worse, disappear completely. And he not only proves what he says, he tells others how to avoid a similar fate.Focusing on "disruptive technology" -- the Honda Super Cub, Intel's 8088 processor, or the hydraulic excavator, for example -- Christensen shows why most companies miss "the next great wave." Whether in electronics or retailing, a successful company with established products will get pushed aside unless managers know when to abandon traditional business practices. Using the lessons of successes and failures from leading companies, "The Innovator's Dilemma" presents a set of rules for capitalizing on the phenomenon of disruptive innovation.
Moral Calculations: Game Theory, Logic, and Human Frailty
Mérő László - 1998
This ideal guide shows us how mathematics can illuminate the human condition.