Rich illustrations, systematic resumes, and extensive citations make it a valuable references source.

    World History

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    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.

    What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    For the introductory Finance course, given during the junior year and required at all undergraduate business schools.Keown enables students to see the big picture by letting them understand the logic that drives finance rather than having them memorize formulas.

    Chase instructs readers on where to find coupons, how to use them, where to get the most bang for your buck, and how to start thinking like a couponer every time you make a purchase. Sound too easy? With a little practice, you'll see the savings rolling in while you live your life -- stress-free and thousands of dollars per year richer!

    Written in a unique girlfriend-to-girlfriend style, this book offers warm, reassuring and practical advice for surviving breast cancer from someone who as there.

    Now, America finds itself cash poor, and to a great extent power follows money. In The End of Influence, renowned economic analysts Stephen S. Cohen and J. Bradford DeLong explore the grave consequences this loss will have for America's place in the world. America, Cohen and DeLong argue, will no longer be the world's hyperpower. It will no longer wield soft cultural power or dictate a monolithic foreign policy. More damaging, though, is the blow to the world's ability to innovate economically, financially, and politically. Cohen and DeLong also explore American's complicated relationship with China, the misunderstood role of sovereign wealth funds, and the return of state-led capitalism. An essential read for anyone interested in how global economics and finance interact with national policy, The End of Influence explains the far-reaching and potentially long-lasting but little-noted consequences of our great fiscal crisis.

    'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.

     The Miracle Morning Companion Planner is your hands-on guide for building a happier and more fulfilling life and career. This 12-month, undated planner allows you to start at any time of the year! Incorporating and tracking the Life S.A.V.E.R.S. each day will help you to be more present and intentional in each moment, own every aspect of your day, and to get the most out of your life.• Use Silence to quiet your mind, lower your stress, and accelerate your success.• Create and recite Affirmations to create your future in advance.• Daily Visualization keeps your brain focused on your goals and desired outcomes.• Exercise helps you feel better, have more energy, and add years to your life!• A daily Reading habit gives you the knowledge you need to take your self to the next level so you can take your success to the next level (because it only happens in that order).• Leverage the power of Scribing to experience more gratitude, track your progress and increase your productivity.You’ll also—• Master your own self-leadership and personal growth• Manage your energy—physical, mental, and emotional• Apply your new skills to your work, your social life, your health, and even your hobbies! The Miracle Morning Companion Planner is the perfect accompaniment to your Miracle Morning practice, and provides the structure that enables you to create a life you love.

    Through their story you’ll learn the surprising fact that you cannot get rich with a budget! You have to have a plan to pay yourself first that is totally automatic, a plan that will automatically secure your future and pay for your present.What makes The Automatic Millionaire unique:You don’t need a budgetYou don’t need willpowerYou don’t need to make a lot of money You don’t need to be that interested in moneyYou can set up the plan in an hourDavid Bach gives you a totally realistic system, based on timeless principles, with everything you need to know, including phone numbers and websites, so you can put the secret to becoming an Automatic Millionaire in place from the comfort of your own home. This one little book has the power to secure your financial future. Do it once--the rest is automatic!

    Sold in over 85 countries and translated into more than 5 languages.---------------Want to get started on data science?Our promise: no math added.This book has been written in layman's terms as a gentle introduction to data science and its algorithms. Each algorithm has its own dedicated chapter that explains how it works, and shows an example of a real-world application. To help you grasp key concepts, we stick to intuitive explanations and visuals.Popular concepts covered include:- A/B Testing- Anomaly Detection- Association Rules- Clustering- Decision Trees and Random Forests- Regression Analysis- Social Network Analysis- Neural NetworksFeatures:- Intuitive explanations and visuals- Real-world applications to illustrate each algorithm- Point summaries at the end of each chapter- Reference sheets comparing the pros and cons of algorithms- Glossary list of commonly-used termsWith this book, we hope to give you a practical understanding of data science, so that you, too, can leverage its strengths in making better decisions.