It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.

    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!

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    When he is found dead in the French Broad River of rural North Carolina, his teenaged stepsister, Jess, is sought for questioning by their family and the police.Jess's odyssey of escape across four states leads into dark territories of life-and-death moral choices where compassion and grace offer faint illumination but few answers. A Question of Mercy, set in a vivid landscape of the mid-twentieth-century South, is the fifth novel from Robert Penn Warren Award–winning writer Elizabeth Cox. As she challenges notions of individual freedom and responsibility against a backdrop of questionable practices governing treatment of the mentally disabled, she also stretches the breadth and limitations of the human heart to love and to forgive.Jess Booker, on the run and alone, leaves the comfort of her home near Asheville, recklessly trekking through woods and hitchhiking her way to a boarding house in tiny Lula, Alabama, a perceived safe haven she once visited with her late mother. Pursued by a mysterious car with a faded "I Like Ike" sticker, Jess is also haunted by memories of her mother's early death, her father's distressing marriage to Adam's mother, the loving bond she was able to form with Adam despite her initial resistance, and her boyfriend Sam's troubling letters from the thick of combat in the Korean War. In Lula, Jess finds, if only briefly, a respite among a curious surrogate family of fellow displaced outsiders banded together under one roof, and there she finds the strength to heed the call homeward to face the questions she cannot answer about her stepbrother's death.Through her vibrant depictions of characters in crisis and of the lush, natural landscapes of her southern settings, Cox brings to the fore the moral, ethical, and seemingly unnatural decisions people face when caring for society's weakest members. Grappling with the powerful bonds of love and family, A Question of Mercy recognizes the countless ways people come to help one another and the poor choices they can make because of love?choices that challenge the boundaries of human decency and social justice but also choices that can defy what is legal in the course of seeking what is right.

    But how does virality actually work? In The Rules of Contagion, epidemiologist Adam Kucharski explores topics including gun violence, online manipulation, and, of course, outbreaks of disease to show how much we get wrong about contagion, and how astonishing the real science is.Why did the president retweet a Mussolini quote as his own? Why do financial bubbles take off so quickly? And why are disinformation campaigns so effective? By uncovering the crucial factors driving outbreaks, we can see how things really spread -- and what we can do about it.Whether you are an author seeking an audience, a defender of truth, or simply someone interested in human social behavior, The Rules of Contagion is an essential guide to modern life.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    Love is.Currently in its eighteenth printing in Japan, this best-selling novel is available in English at last. Combining mathematical rigor with light romance, Math Girls is a unique introduction to advanced mathematics, delivered through the eyes of three students as they learn to deal with problems seldom found in textbooks. Math Girls has something for everyone, from advanced high school students to math majors and educators.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

    In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles.Book Details: Format: Paperback Publication Date: 4/1/2004 Pages: 32 Reading Level: Age 8 and Up

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    Book by Waring, Chris

    GCF) vows to track it down. Knowing that the villainous Dr. Brok likes to disguise his ill-begotten fractions, GCF invents a Reducer—a tool that strips away the disguise, reducing the fraction and revealing its true form. Equal parts of action and humor add up to a wholly entertaining introduction to simplifying fractions.

    The planet is full of millions of species of plants, birds, animals, and microbes, and every single one -- including us -- is part of a big, beautiful, complicated pattern. When humans interfere with parts of the pattern, by polluting the air and oceans, taking too much from the sea, and cutting down too many forests, animals and plants begin to disappear. What sort of world would it be if it went from having many types of living things to having just one? In a beautiful follow-up, the creators of the award-winning Tiny Creatures: The World of Microbes deliver an inspiring look at the extraordinary diversity of Earth's inhabitants -- and the importance of their preservation.

     With this comprehensive, beautifully illustrated guide, you'll find it easy to attract these tiny, jewel-like birds to your own yard. The Stokes Hummingbird Book provides all the information you need to bring hummingbirds up close, identify them, and understand their fascinating and varied behavior. The book includes:Range maps and full-color photographs to help you identify and locate hummingbirdsInformation on how to select the proper feeders, what to use in them, when to put them up, and when to take them downAdvice on what flowers to plant to attract hummingbirds in your part of the countryAmazing facts about hummingbirds, such as how fast they fly and how much they weighGuidelines for photographing hummingbirdsComplete information on hummingbird behavior, including flight displays, breeding habits, and feedingA special section on attracting orioles, with photographs and behavior guides for each of the eight species found in North AmericaA resource list for hummingbird supplies

    Many successful applications of machine learning exist already, including systems that analyze past sales data to predict customer behavior, recognize faces or spoken speech, optimize robot behavior so that a task can be completed using minimum resources, and extract knowledge from bioinformatics data. "Introduction to Machine Learning" is a comprehensive textbook on the subject, covering a broad array of topics not usually included in introductory machine learning texts. It discusses many methods based in different fields, including statistics, pattern recognition, neural networks, artificial intelligence, signal processing, control, and data mining, in order to present a unified treatment of machine learning problems and solutions. All learning algorithms are explained so that the student can easily move from the equations in the book to a computer program. The book can be used by advanced undergraduates and graduate students who have completed courses in computer programming, probability, calculus, and linear algebra. It will also be of interest to engineers in the field who are concerned with the application of machine learning methods.After an introduction that defines machine learning and gives examples of machine learning applications, the book covers supervised learning, Bayesian decision theory, parametric methods, multivariate methods, dimensionality reduction, clustering, nonparametric methods, decision trees, linear discrimination, multilayer perceptrons, local models, hidden Markov models, assessing and comparing classification algorithms, combining multiple learners, and reinforcement learning.