The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    With problems and solutions. Includes 99 illustrations.

    Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.

    Now, from a Silicon Valley hero and bestselling technology writer comes a pointed critique of the hype surrounding computers and their real benefits, especially in education. In High-Tech Heretic, Clifford Stoll questions the relentless drumbeat for "computer literacy" by educators and the computer industry, particularly since most people just use computers for word processing and games--and computers become outmoded or obsolete much sooner than new textbooks or a good teacher.As one who loves computers as much as he disdains the inflated promises made on their behalf, Stoll offers a commonsense look at how we can make a technological world better suited for people, instead of making people better suited to using machines.

    Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    Organized to illustrate the major themes of Elliot Aronson's The Social Animal, this collection of classic and contemporary readings explores the most important ideas, issues, and debates in social psychology today.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    His book is a fresh look at the questions that occur to anyone who thinks deeply about these matters, questions about free will, self-determination, destiny, choice, and who are we anyway. I believe this is a “breakthrough book.” Robert’s style of writing about such ephemeral and difficult subjects as awareness and consciousness is honest, concise, and accurate. His ability to describe his experiences of living in a reality quite different from conventional ways of thinking is brilliantly unusual. On first encountering Robert Saltzman’s work, I am reminded of the same feelings of discovery, delight and excitement that I remember from meeting Alan Watts’ “The Wisdom of Insecurity”, Krishnamurti’s “Freedom from the Known,” and Chögyam Trungpa’s “Cutting Through Spiritual Materialism.” His clarity of mind shines brightly through every sentence in this book. His skill at making clear the most difficult ramifications and subtleties of awakened consciousness is so free of conventional cluttered thinking, so free of habitual phrases, so free of the taint of religious dogma and the conventional ways of speaking of such difficult matters, that this book stands out for me as an entirely fresh and illuminated exposition of awakened consciousness: an awakened understanding of what it is to be human. —Dr. Robert K. Hall

    It chronicles the time preceding the second coming of Jesus Christ. The first volume, The Beginning takes place between the opening of the first and second seals described in the The Book of Revelation. Ford and Samantha experience the beginning of the birth pains as described by Jesus in the Book of Matthew. They piece together various Biblical prophecy and identify the connections between the Books of Daniel, Ezekiel, Revelation, and more. They also realize that their world is changing right before their eyes and begin preparing themselves and their families for the coming tribulation.

    When the doctor finally got through the nine-foot drifts of snow, mother and daughter were in a pretty bad way, but both the new-born Annie and her exhausted mother - a spinner in the cotton mill - were fighters, tough and determined not to let the world knock them down.They needed to be tough, for when Annie's father was killed in the war, Nancy married again. And Eddie Higson - once he'd courted and won Nancy Byrne - turned into a nightmare of a man, terrorizing the young girl with one secret evil after another.She had two friends who helped her through these bad years. Martin Cullen, rough, uneducated, loyal, who knew he wasn't good enough for her, and David Pritchard, the doctor who had supported her through the worst times and who had bad problems of his own.Together they watched her grow into a beautiful young woman, desperately fighting the legacy of her childhood.

    Hephaestus Books represents a new publishing paradigm, allowing disparate content sources to be curated into cohesive, relevant, and informative books. To date, this content has been curated from Wikipedia articles and images under Creative Commons licensing, although as Hephaestus Books continues to increase in scope and dimension, more licensed and public domain content is being added. We believe books such as this represent a new and exciting lexicon in the sharing of human knowledge. This particular book contains chapters focused on Novels by Lee Child, and Jack Reacher books.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.