great formulas explained physics mathematics economics

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Pricing The Future

Author : George Szpiro
ISBN : 9780465022489
Genre : Business & Economics
File Size : 68. 42 MB
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Financial economist Szpiro tells the fascinating stories of the pioneers of mathematical finance who conducted the search for the elusive options pricing formula. "Pricing the Future" retraces the historical and intellectual developments that ultimately led to the widespread use of mathematical models to drive investment strategies on Wall Street.

In Pursuit Of The Unknown

Author : Ian Stewart
ISBN : 9780465029747
Genre : Mathematics
File Size : 26. 73 MB
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In In Pursuit of the Unknown, celebrated mathematician Ian Stewart uses a handful of mathematical equations to explore the vitally important connections between math and human progress. 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.

Math Dialogue Functions

Author : Metin Bektas
ISBN : 1520871767
Genre :
File Size : 83. 39 MB
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"Math Dialogue: Functions" is a very gentle introduction to the concept of the function, written in form of a dialogue. This is an ideal approach for students who would like to understand the basics, but are unsatisfied with the common textbook format. The book contains three lessons. The function, as well as related concepts such as the domain and the graph, are introduced in lesson one. Lesson two consists of a detailed look at linear functions. The final lesson deals with all aspects of quadratic functions. Whether you've been struggling or you just want to know what's going on - this book is for you.From the author of "Great Formulas Explained", "Statistical Snacks" and the "Math Shorts" series.

The Physics Of Wall Street

Author : James Owen Weatherall
ISBN : 9780547618296
Genre : Business & Economics
File Size : 65. 29 MB
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After the economic meltdown of 2008, Warren Buffett famously warned, “beware of geeks bearing formulas.” But as James Weatherall demonstrates, not all geeks are created equal. While many of the mathematicians and software engineers on Wall Street failed when their abstractions turned ugly in practice, a special breed of physicists has a much deeper history of revolutionizing finance. Taking us from fin-de-siècle Paris to Rat Pack-era Las Vegas, from wartime government labs to Yippie communes on the Pacific coast, Weatherall shows how physicists successfully brought their science to bear on some of the thorniest problems in economics, from options pricing to bubbles. The crisis was partly a failure of mathematical modeling. But even more, it was a failure of some very sophisticated financial institutions to think like physicists. Models—whether in science or finance—have limitations; they break down under certain conditions. And in 2008, sophisticated models fell into the hands of people who didn’t understand their purpose, and didn’t care. It was a catastrophic misuse of science. The solution, however, is not to give up on models; it's to make them better. Weatherall reveals the people and ideas on the cusp of a new era in finance. We see a geophysicist use a model designed for earthquakes to predict a massive stock market crash. We discover a physicist-run hedge fund that earned 2,478.6% over the course of the 1990s. And we see how an obscure idea from quantum theory might soon be used to create a far more accurate Consumer Price Index. Both persuasive and accessible, The Physics of Wall Street is riveting history that will change how we think about our economic future.

More Heat Than Light

Author : Philip Mirowski
ISBN : 0521426898
Genre : Business & Economics
File Size : 30. 90 MB
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This is a history of how physics has drawn some inspiration from economics and how economics has sought to emulate physics, especially with regard to the theory of value. The author traces the development of the energy concept in Western physics and its subsequent effect on the invention and promulgation of neoclassical economics, the modern orthodox theory.

Love And Math

Author : Edward Frenkel
ISBN : 9780465069958
Genre : Mathematics
File Size : 35. 96 MB
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What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

A Beautiful Math

Author : Tom Siegfried
ISBN : 0309133807
Genre : Science
File Size : 67. 64 MB
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Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

Crisis Economics And The Emperor S Clothes

Author : Frans Doorman
ISBN : 9781304089878
Genre : Business & Economics
File Size : 54. 83 MB
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Why isn’t society doing better economically, socially and environmentally? Why haven the advances of science and technology not led to more wealth, well-being and a brighter outlook for humanity? This book argues the blame lies for an important part in the theory and practice of economics. Standard economics is based on poorly conceived premises and method, resulting in misguided policy prescriptions. These helped cause the 2007 crisis, inhibit economic recovery, foster future crises, and restrain society in addressing its social and environmental problems. The book shows that what is considered responsible economic, financial and fiscal policy puts society in an economic straightjacket that prevents the full development of its productive potential. It presents the outline of a new economics, a social science that can help generate the productive potential to create a dynamic, socially equitable and environmentally sustainable society.

Ten Great Ideas About Chance

Author : Persi Diaconis
ISBN : 9781400888283
Genre : Mathematics
File Size : 55. 83 MB
Format : PDF
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A fascinating account of the breakthrough ideas that transformed probability and statistics In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact. Persi Diaconis and Brian Skyrms begin with Gerolamo Cardano, a sixteenth-century physician, mathematician, and professional gambler who helped develop the idea that chance actually can be measured. They describe how later thinkers showed how the judgment of chance also can be measured, how frequency is related to chance, and how chance, judgment, and frequency could be unified. Diaconis and Skyrms explain how Thomas Bayes laid the foundation of modern statistics, and they explore David Hume’s problem of induction, Andrey Kolmogorov’s general mathematical framework for probability, the application of computability to chance, and why chance is essential to modern physics. A final idea—that we are psychologically predisposed to error when judging chance—is taken up through the work of Daniel Kahneman and Amos Tversky. Complete with a brief probability refresher, Ten Great Ideas about Chance is certain to be a hit with anyone who wants to understand the secrets of probability and how they were discovered.

The Quantum Universe

Author : Brian Cox
ISBN : 9780306819643
Genre : Science
File Size : 53. 43 MB
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The authors of the best-selling Why Does E=MC2? render fundamental scientific principles in the areas of quantum mechanics comprehensive and engaging to lay readers, working through obscure and vague aspects to explain related natural world observations, how the quantum world was constructed and why it is important. 15,000 first printing.

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