The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality.Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"

    Connecting games to math, science, and psychology, GameTek has grown to be one of the most popular parts of the show.This volume commemorates the anniversary with a collection of over seventy of the best segments, many with annotations and illustrations.With chapters on everything from Rock, Paper, Scissors to the Prisoner’s Dilemma to Player Engagement to Quasicrystals to Buddha’s Forbidden Games, GameTek is sure to delight not just game designers and players, but anyone who wants to learn about the world from a new perspective.Sections:• Game Theory• Math• Psychology• Science• Game Mechanics• Psychology Games• HistoryFrom the first time I heard it, the GameTek segment in The Dice Tower podcast became my favorite part of the show. Listening to Geoff is like going to your favorite lesson with your favorite teacher. He teaches about games (yay!) and does it in a very interesting way with lots of examples. He does amazing stuff. He knows about the construction of games, he knows the theory, he knows all that stuff behind the scenes that we gamers do not see when just playing a game and having fun.Ignacy Trzewiczek, Portal GamesThere are many hobby game 'experts' out there, dying to give you their opinion on how the industry works, how games work, what types of games are best, and so on. Geoff Engelstein is the expert that requires your attention. He is a scholar of games, and his research on games and other principles that apply to gaming is matched by none.Stephen Buonocore, Stronghold GamesOver the years, I’ve listened to a lot of people talk about board games, yet the short snippets that Geoff puts out are the ones that I find myself thinking about in the quiet of the night. His are the segments that you laugh at and say, “I have NO idea what you are talking about” — but later on use to show people just how intellectual you are.Tom Vasel, The Dice Tower

    Too often, however, the mathematics instruction that we impose upon them in the classroom fails to connect with this informal knowledge. Children's Mathematics was written to help you understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding. Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development. Two accompanying CDs provide a remarkable inside look at students and teachers in real classrooms implementing the teaching and learning strategies described in the text. Together, the book and CDs provide you with the foundation necessary to engage children in discussions of how they think through problems-providing suggestions for what problems to give and insight into what responses to expect, and how children's thinking will evolve.

    This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    But what does quality mean? What does it look like in real classrooms? It looks like the teaching in this book. -Steven Zemelman, Harvey Smokey Daniels, and Arthur Hyde Best Practice is back, and with it Steve Zemelman, Smokey Daniels, and Arthur Hyde invite you to greet today's most important educational challenges with proven, state-of-the-art teaching. Linguistic diversity, technology, Common Core, high-stakes testing-no matter the hurdle, Best Practice teaching supports powerful learning across our profession. Best Practice , Fourth Edition, is the ultimate guide to teaching excellence. Its framework of seven Best Practice Structures and cutting-edge implementation strategies are proven across the grades and subject areas. BP4 creates common ground for teachers, leaders, and principals by recommending practices drawn from the latest scientific research, professional consensus, and the innovative classrooms of exemplary teachers.BP4 puts top-quality teaching at the fingertips of individual practitioners by sharing real-life instructional scenes that define classroom excellence, increase learning, and improve students' life opportunities. It's also more valuable than ever to PLCs and school reform initiatives thanks to:plans and strategies for exceeding state and Common Core Standards cohesive principles and common language that strengthen professional collaboration classroom vignettes that show teachers and kids at work chapters on reading, writing, math, science, and social studies that support unified instructional goals special attention to technology in the classroom, special education, ELLs, struggling readers, and the arts. This new educational era demands highly-effective, high-quality instruction that makes a difference for students. Fortunately with Zemelman, Daniels, and Hyde's help every educator can be a world-class, life-changing teacher-a Best Practice teacher.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach.The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package—PMTK (probabilistic modeling toolkit)—that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.

    You won't need to learn any web programming or turn yourself into a computer geek.What is WordPress?WordPress is a powerful publishing tool that's the single most popular way of publishing websites and blogs. It's used by Fortune 500 companies, startups, small businesses, bloggers and non-profits alike to build a professional presence on the web.Because WordPress lets you add and edit content through a web-based admin area, it's easier to use then you might imagine. In fact, you can build a great-looking site without being a web designer or computer geek. You can edit your website design as much as you like and add new features with a few clicks of the mouse, or you can use the default design for an equally professional-looking site.In plain English, this step-by-step book, written by a WordPress expert, helps you buy a domain name, get web hosting and set up WordPress so you can make a beautiful website or blog.Clear explanations and over 55 images of the admin screens and tools mean you can see exactly how to do all this.What you'll learn in WordPress Step-by-Step*How to choose a great domain name and get professional, reliable hosting * How to install WordPress in a few mouse clicks* How to publish posts and pages with correctly formatted text* How to give your website a professional touch by using images and videos* How to customize the design of your site without needing to be a programmer* How to extend your site even further with "plugins" * How to structure your site so you'll get found by Google* How to keep your website secure * How to solve the most common WordPress problems...and more.There's also a free bonus chapter on getting the first visitors to your site.Plus, the book is packed with links to additional resources and free design themes and plugins to help you build a website on a budget.By the time you've read the book you'll have a unique, professional and easy-to-use website to be proud of - and you'll have created it yourself!Important: This book is currently the most up-to-date WordPress book available on Amazon. Some of the older WordPress books were published more than a year ago - a lot has changed since then. This guide describes how to use the latest version of WordPress (3.5).Whether you want to build a simple website for your company or organization, make money with a blog or a full online store, this non-geek guide will get you online quickly.

    This book focuses on practical algorithms that have been used to solve key problems in data mining and which can be used on even the largest datasets. It begins with a discussion of the map-reduce framework, an important tool for parallelizing algorithms automatically. The authors explain the tricks of locality-sensitive hashing and stream processing algorithms for mining data that arrives too fast for exhaustive processing. The PageRank idea and related tricks for organizing the Web are covered next. Other chapters cover the problems of finding frequent itemsets and clustering. The final chapters cover two applications: recommendation systems and Web advertising, each vital in e-commerce. Written by two authorities in database and Web technologies, this book is essential reading for students and practitioners alike.

    At a time when the poor math performance of American school children has labeled us a "nation of underachievers," what can parents--often themselves daunted by the mysteries of mathematics--do to help their children? In Games for Math, Peggy Kaye--teacher extraordinaire and author of the highly praised Games for Reading--gives parents more than fifty marvelous and effective ways to help their children learn math by doing just what kids love best: playing games.

    It examines the multi-faceted meanings and uses of language and emphasizes the ways that language encapsulates speakers' meanings and intentions.