These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

    Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

    It is how China and India began to embrace neoliberal ideas of economics and attributed a sense of dignity and liberty to the bourgeoisie they had denied for so long. The result was an explosion in economic growth and proof that economic change depends less on foreign trade, investment, or material causes, and a whole lot more on ideas and what people believe.Or so says Deirdre N. McCloskey in Bourgeois Dignity, a fiercely contrarian history that wages a similar argument about economics in the West. Here she turns her attention to seventeenth- and eighteenth-century Europe to reconsider the birth of the industrial revolution and the rise of capitalism. According to McCloskey, our modern world was not the product of new markets and innovations, but rather the result of shifting opinions about them. During this time, talk of private property, commerce, and even the bourgeoisie itself radically altered, becoming far more approving and flying in the face of prejudices several millennia old. The wealth of nations, then, didn’t grow so dramatically because of economic factors: it grew because rhetoric about markets and free enterprise finally became enthusiastic and encouraging of their inherent dignity.An utterly fascinating sequel to her critically acclaimed book The Bourgeois Virtues, Bourgeois Dignity is a feast of intellectual riches from one of our most spirited and ambitious historians—a work that will forever change our understanding of how the power of persuasion shapes our economic lives.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    This text is highly regarded because of its engaging and understandable introduction to statistics. The author's commitment to providing student-friendly guidance through the material and giving students opportunities to apply their newly learned skills in a real-world context has made Elementary Statistics the #1 best-seller in the market.

    Johnson. It was the first book exclusively on the theory of NP-completeness and computational intractability. The book features an appendix providing a thorough compendium of NP-complete problems (which was updated in later printings of the book). The book is now outdated in some respects as it does not cover more recent development such as the PCP theorem. It is nevertheless still in print and is regarded as a classic: in a 2006 study, the CiteSeer search engine listed the book as the most cited reference in computer science literature.

    '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.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms. This new edition maintains the simple structure of the first and puts new emphasis on pedagogical considerations. Thermostatistics is incorporated into the text without eclipsing macroscopic thermodynamics, and is integrated into the conceptual framework of physical theory.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    Yet until now there has been no comprehensive text that incorporates the huge strides made in the subject over the past decade. Development Economics does precisely that in a clear, rigorous, and elegant fashion.Debraj Ray, one of the most accomplished theorists in development economics today, presents in this book a synthesis of recent and older literature in the field and raises important questions that will help to set the agenda for future research. He covers such vital subjects as theories of economic growth, economic inequality, poverty and undernutrition, population growth, trade policy, and the markets for land, labor, and credit. A common point of view underlies the treatment of these subjects: that much of the development process can be understood by studying factors that impede the efficient and equitable functioning of markets. Diverse topics such as the new growth theory, moral hazard in land contracts, information-based theories of credit markets, and the macroeconomic implications of economic inequality come under this common methodological umbrella.The book takes the position that there is no single cause for economic progress, but that a combination of factors--among them the improvement of physical and human capital, the reduction of inequality, and institutions that enable the background flow of information essential to market performance--consistently favor development. Ray supports his arguments throughout with examples from around the world. The book assumes a knowledge of only introductory economics and explains sophisticated concepts in simple, direct language, keeping the use of mathematics to a minimum.Development Economics will be the definitive textbook in this subject for years to come. It will prove useful to researchers by showing intriguing connections among a wide variety of subjects that are rarely discussed together in the same book. And it will be an important resource for policy-makers, who increasingly find themselves dealing with complex issues of growth, inequality, poverty, and social welfare.If you are instructor in a course that uses Development Economics and wish to have access to the end-of-chapter problems in Development Economics, please e-mail the author at debraj.ray@nyu.edu. For more information, please go to http: //www.econ.nyu.edu/user/debraj. If you are a student in the course, please do not contact the author. Please request your instructor to do so.

    Never again will you order the Poisson Distribution in a French restaurant!This updated version features all new material.

    Its full-colour illustration program includes many novel, visually effective features to help students learn.

    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."

    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.