In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

    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.

    This clear, accessible, and even humorous book is ideal for young readers new to economics and for all readers who seek a better understanding of the full sweep of economic history and ideas. Economic historian Niall Kishtainy organizes short, chronological chapters that center on big ideas and events. He recounts the contributions of key thinkers including Adam Smith, David Ricardo, Karl Marx, John Maynard Keynes, and others, while examining topics ranging from the invention of money and the rise of agrarianism to the Great Depression, entrepreneurship, environmental destruction, inequality, and behavioral economics. The result is a uniquely enjoyable volume that succeeds in illuminating the economic ideas and forces that shape our world.

    This supplement will cater to the requirements of students by covering all important topics of Laplace transformation, Matrices, Numerical Methods. Further enhanced is its usability by inclusion of chapter end questions in sync with student needs. Table of contents: 1. Basic Concepts 2. An Introduction to Modeling and Qualitative Methods 3. Classification of First-Order Differential Equations 4. Separable First-Order Differential Equations 5. Exact First-order Differential Equations 6. Linear First-Order Differential Equations 7. Applications of First-Order Differential Equations 8. Linear Differential Equations: Theory of Solutions 9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients 10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients 11. The Method of Undetermined Coefficients 12. Variation of Parameters 13. Initial-Value Problems for Linear Differential Equations 14. Applications of Second-Order Linear Differential Equations 15. Matrices 16. eAt 17. Reduction of Linear Differential Equations to a System of First-Order Equations 18. Existence and Uniqueness of Solutions 19. Graphical and Numerical Methods for Solving First-Order Differential Equations 20. Further Numerical Methods for Solving First-Order Differential Equations 21. Numerical Methods for Solving Second-Order Differential Equations Via Systems 22. The Laplace Transform 23. Inverse Laplace Transforms 24. Convolutions and the Unit Step Function 25. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms 26. Solutions of Linear?Systems by Laplace Transforms 27. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods 28. Power Series Solutions of Linear Differential Equations with Variable Coefficients 29. Special Functions 30. Series Solutions N

    Russ Roberts argues that the true underlying cause of the mess was the past bailouts of large financial institutions that allowed these institutions to gamble carelessly because they were effectively using other people’s money. The author warns that despite the passage of Dodd-Frank, it is widely believed that we have done nothing to eliminate ‘Too Big to Fail.’ That perception allows the largest financial institutions to continue to gamble with taxpayer money.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Collected from the series of blog posts starting at: https://bartoszmilewski.com/2014/10/2...Hardcover available at: http://www.blurb.com/b/9008339-catego...

    As a guy who barely made a living as a river guide, I considered the whole process pretty impenetrable, and I was convinced that to do it right you had to make it a full-time job. Me, I was more interested in having full-time fun.So I was tempted to do what you’re probably doing right now: letting some mutual fund manager worry about growing your nest egg. Let me tell you why that decision could one day make you absolutely miserable. The fact is, because of natural market cycles, the mutual fund industry is likely to soon be facing twenty years of flat returns. That means that if you’ve got your nest egg tucked away in funds—especially the type found in most 401ks—your egg won’t get much bigger than it is now. Translation: Get ready for a retirement filled with lots of cold cuts, plenty of quality TV-watching time, and a place to live that’s too small to accommodate your visiting kids.In this book I’ll show you how I turned $1,000 into $1 million in only five years, and then proceeded to make many millions more. I came to investing as a person who wasn’t great at math, possessed zero extra cash, and wanted a life—not an extra three hours of work to do every day.Fortunately, I was introduced to The Rule.Rule #1, as famed investor Warren Buffett will tell you, is don’t lose money. Through an intriguing process that I’ll clarify in this book, not losing money results in making more money than you ever imagined. What it comes down to is buying shares of companies only when the numbers—and the intangibles—are on your side. If that sounds too good to be true, it’s because the mind-set I’ll be introducing you to leads not to bets but to certainties. Believe me, if there were anything genius-level about this, I’d still be a river guide collecting unemployment much of the year.Part of the secret is thinking of yourself as a business owner rather than a stock investor. Part is taking advantage of today’s new Internet tools, which drastically reduce the “homework factor.” (We’re talking a few minutes, tops.) Part is knowing the only five numbers that really count in valuing a potential investment. And part—maybe the most important part—is using the risk-free Rule #1 approach to consistently pay a mere 50 cents to buy a dollar’s worth of a business.What I won’t waste your time with is fluff: a lot of vague parables reminding you of what you already know and leaving you exactly where you started. This is the real deal, folks: a start-to-finish, one-baby-step-at-a-time approach that will allow you to retire ten years sooner than you planned, with more creature comforts than you ever imagined.Also available as a Random House AudioBook and eBook.

    

    In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today.

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    They’re wrong. When University of Chicago professor Harold Pollack interviewed Helaine Olen, an award-winning financial journalist and the author of the bestselling Pound Foolish, he made an off­-hand suggestion: everything you need to know about managing your money could fit on an index card. To prove his point, he grabbed a 4" x 6" card, scribbled down a list of rules, and posted a picture of the card online. The post went viral. Now Pollack teams up with Olen to explain why the ten simple rules of the index card outperform more complicated financial strategies. Inside is an easy-to-follow action plan that works in good times and bad, giving you the tools, knowledge, and confidence to seize control of your financial life.

    The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.