Worked examples and exercises support the text. An ELBS/LPBB edition is available.

    

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    It’s about markets.The past twenty-five years have witnessed a remarkable shift in how we get the stuff we want. If you’ve ever owned a business, rented an apartment, or shopped online, you’ve had a front-row seat for this revolution-in-progress. Breakthrough companies like Amazon and Uber have disrupted the old ways and made the economy work better—all thanks to technology.At least that’s how the story of the modern economy is usually told. But in this lucid, wry book, Ray Fisman and Tim Sullivan show that the revolution is bigger than tech: it is really a story about the transformation of markets. From the auction theories that power Google’s ad sales algorithms to the models that online retailers use to prevent internet fraud, even the most high-tech modern businesses are empowered by theory first envisioned by economists.And we’re all participants in this revolution. Every time you book a room on Airbnb, hire a car on Lyft, or click on an ad, you too are reshaping our social institutions and our lives.The Inner Lives of Markets is necessary reading for the modern world: it reveals the blueprint for how we work, live, and shop, and offers wisdom for how to do it better.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    

    

    Bess Hardemon, a tough and canny young teacher living in the mid-nineteenth century, is determined to make a difference at her new school, Priors Heath. Under the austere gaze of the Reverend Carnegie and his deputy, Miss Simms, the young girls remain underfed and unstimulated -- until the arrival of the bright, motivated young Bess.At the cost of her own chance of finding love, Bess remains trapped by her duty, a confinement echoed a century later by Sarah, a teacher at the modern-day Priors Heath who must make her own choice between her duty to her pupils and her efforts to save a broken marriage.

    Dr Anna Brocklebank considers it one of the most significant and inspiring books ever written on the subject of narcissism and believes it should become a medical reference book as well as a popular best seller. Departing from her former studies of the Royal Family and the Super Rich, Georgie Campbell turns her intelligence, insight and energy on to her own family's past to reveal the reality beneath serious personality disorders, and the emotional terrorism they engender.The book straddles two conflicting worlds: the white elitism of the British Colonial way of life and the empowerment of the black race post-Independence. It provides an insightful record of why the colonial age had to end, while also giving the reader an insider's view of the political and sociological difficulties that nationhood brought to the inhabitants of the colonies. In doing so, Georgie Campbell paints a vivid picture of the way of life that allowed the narcissistic personality disorder of her mother to flourish. Daughter of Narcissus not only places the disorder of narcissism in its proper sociological context, but it also exposes the shocking behaviour of the disordered personality. It is disarmingly honest and revelatory, a compulsive read - in the words of Dr. Brocklebank, it is "gripping" - a fascinating history of a family who learnt to survive unbelievable misconduct in order to lead purposeful and affirming lives.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    Includes: A key to insect groups. Mature and immature forms. How insects grow and develop and what they eatHow to find and observe them.Full color pictures, nontechnical language, and up-to-date range maps make this a gem of a guide for beginners at any age.

    -Byte, September 1995 I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up. -Charles Long If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing. -Bill Gates It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers. -Jonathan Laventhol The second volume offers a complete introduction to the field of seminumerical algorithms, with separate chapters on random numbers and arithmetic. The book summarizes the major paradigms and basic theory of such algorithms, thereby providing a comprehensive interface between computer programming and numerical analysis. Particularly noteworthy in this third edition is Knuth's new treatment of random number generators, and his discussion of calculations with formal power series. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP), http: //msp.org

    

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    The book's patient explanations are written in an informal, non-intimidating style. To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets.