The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Along the way, Bonner and Wiggin cast a wide angle lens that looks back in history and ahead to the coming century: showing how dramatic changes in the economic power of the United States will inevitably impact every American.Reveals the financial realities the United States currently faces and what the ultimate outcome may be Weaves together the worlds of politics, economics, and personal finance in a way that underscores the severity of the situation Addresses the events leading up to the implosion of the U.S. financial system Looks ahead to help you avoid the pitfalls presented by a weaker United States Other titles by Bonner: Empire of Debt, Financial Reckoning Day, and Mobs, Messiahs, and MarketsOther titles by Wiggin: I.O.U.S.A., Demise of the Dollar, and Financial Reckoning DayThe United States is heading down a difficult path. The New Empire of Debt clearly shows how this has happened and discusses what you can do to overcome the financial challenges that will arise as the situation deteriorates.

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    The book contains simple methods for identification of multibaggers which the author himself is using. The book also contains some potential multibaggers identified by applying the same methods described in the book

    Houses, health care and higher education have become unaffordable to a majority of people, while the burden of unregulated monopolies, globalization and uncontrolled immigration has fallen disproportionately on the lower and middle classes. Wrapped in political correctness, an increasingly out of touch Western elite continues catering to special interests and fails to grasp the urgency for change. Populist movements harnessing public anger appear unable to propose and implement effective solutions. The last financial crisis was bad enough. But the next crisis will spread deeper and wider. And yet we stand economically, politically and most of all intellectually unprepared. This book is the story of how we have arrived at the brink of disaster and how we can move away from the win-lose policies of recent decades to restore much-needed balance.

    In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

    This proven magick works safely, without wands, herbs, incense or candles. There is no need to pay the spirits, and there is no karma or spiritual backlash. You get what you deserve, you get it fast and you get to spend it any way you want. Where the Magickal Cashbook gave just one method for attracting a small burst of money, and Wealth Magick worked on long-term career enhancement, Magickal Riches contains practical rituals that continually manifest money. Developed from ancient knowledge and modern occult technology, the major workings in this book have never been published before, in any form. The secrets of Magickal Riches have been crafted by The Gallery of Magick during the past thirty years. You will discover: *The Master Money Ritual, using a sigil that contains a pattern of magickal symbols. *How to find your Secret Source of Money, to provide new streams of unexpected income. *A Ritual To Increase Sales, for anybody who sells a product of any kind. *A Ritual For Buying and Selling that ensures that you get the best deal when you are buying or selling anything, from a small item to a house or business. *A ritual to Get Somebody To Pay Up. When you are owed money, use magick to get what belongs to you. *The Genius Rituals, with a set of unique sigils to call on intelligent and helpful spirits. *A ritual to Attract Money Through Perception, for trading shares, or to find out the best course of action in any money-making situation. *The Chance Money Attraction ritual, employing the power of Nitika in harmony with other genius spirits, to bring money out of the blue. *The Gambling Ritual, to increase your luck in lotteries and games of chance. *A secret technique, never revealed until now, for adding extra energy to your magickal workings. Damon Brand says, 'Creating money with magick is one of the most direct and exciting ways to experience the raw power of the occult.' If you are completely new to magick, be assured that this magick is safe and effective. It will work whether you believe in it or not. If you are an experienced occultist, you will discover many new secrets for manifesting money. This exceptional work gives you all the knowledge, techniques, images and secret words that you need to unleash a flow of riches into your life.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    The book's novel approach shows that valuation and accounting are much the same: valuation is actually a matter of accounting for value.Laying aside many of the tools of modern finance--the cost-of-capital, the CAPM, and discounted cash flow analysis--Stephen Penman returns to the common-sense principles that have long guided fundamental investing: price is what you pay but value is what you get; the risk in investing is the risk of paying too much; anchor on what you know rather than speculation; and beware of paying too much for speculative growth. Penman puts these ideas in touch with the quantification supplied by accounting, producing practical tools for the intelligent investor.Accounting for value provides protection from paying too much for a stock and clues the investor in to the likely return from buying growth. Strikingly, the analysis finesses the need to calculate a "cost-of-capital," which often frustrates the application of modern valuation techniques. Accounting for value recasts "value" versus "growth" investing and explains such curiosities as why earnings-to-price and book-to-price ratios predict stock returns. By the end of the book, Penman has the intelligent investor thinking like an intelligent accountant, better equipped to handle the bubbles and crashes of our time. For accounting regulators, Penman also prescribes a formula for intelligent accounting reform, engaging with such controversial issues as fair value accounting.

    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.

    And it’s those same investors who will get their properties sold for top dollar and minimal stress!With almost 1,000 successful deals between them, real estate investors J Scott, Mark Ferguson, and Carol Scott combined real-world experience and the science of negotiation to create a book covering all aspects of the real estate negotiation process—from the first interaction with a buyer or seller to renegotiating the contract after a bad inspection or appraisal.Containing dozens of true-life stories highlighting how strong negotiation skills can result in more and better deals, this book includes lots of sample dialogue that will teach you both what to say and how to say it in order to maximize your chances of reaching a profitable deal.Inside, you will learn:- How to uncover and use information to tip negotiating outcomes in your favor- Strategies for defining optimal first offers and subsequent counter-offers- Techniques for in-the-trenches negotiating and overcoming objections- Tips for conquering tactics employed by those on the other side- Techniques for using concessions to get your deal to the finish line- The blueprint to renegotiating issues that arise from contract contingencies- How to overcome the challenges of making and receiving offers through agents- Strategies to get the best deals when buying properties from banks and the HUD… And so much more!

    Calculating and assessing the overall financial health of the business is an important part of any managerial position. From reading and deciphering financial statements, to understanding net present value, to calculating return on investment, Finance for Managers provides the fundamentals of financial literacy. Easy to use and nontechnical, this helpful guide gives managers the smart advice they need to increase their impact on financial planning, budgeting, and forecasting.

    Drastic changes are clearly in order, but no new model has yet been implemented. Steven Drobny explores a new model from a simple starting point--by consulting the traders and managers who actually made money during this profoundly difficult period. In The Invisible Hands, top global macro managers reveal their own (clearly successful) approaches to markets and risk, suggesting important tenets for money management in a future, precarious world.Providing money managers and investors with the proven expertise of the best and most successful players in money management and detailing many specific elements of their risk management processes, The Invisible HandsOutlines investment strategies for the rocky road ahead Provides guidance on how real money managers can implement certain elements of macro hedge fund strategies, developing a new paradigm of portfolio construction anchored in superior risk management Reveals intimate aspects of the investment processes of some of today's top hedge fund managers The book highlights the similarities among successful traders, showing that the investment process should be anchored in understanding the true risk-adjusted returns in your portfolio.

    Each book is written by leading experts in the field and includes contributions from Trump himself. Perfect for anyone who wants to get ahead in business without the MBA, these streetwise books provide real-world business advice based on the one thing readers can't get in any business school-experience. In Trump University Wealth Building 101, you'll learn how to:Develop the right mindset for continued success Learn millionaire moneymaking habits Create your own financial vision statement Adopt the seven proven practices of the rich Start your own business Become a real estate entrepreneur Build your investment portfolio Master money-saving tax strategies And much more!

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.