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.

    Albert-László Barabási, the nation’s foremost expert in the new science of networks and author of Bursts, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos–Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási–Albert model.

    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/....

    Topics include the development of counting and numbers systems, the emergence of zero, cultures that don’t have numbers, algebra, solid geometry, symmetry and beauty, perspective, riddles and problems, calculus, mathematical logic, friction force and displacement, subatomic particles, and the expansion of the universe. Great mathematical thinkers covered include Napier, Liu Hui, Aryabhata, Galileo, Newton, Russell, Einstein, Riemann, Euclid, Carl Friedrich Gauss, Charles Babbage, Montmort, Wittgenstein, and many more. The book is beautifully illustrated throughout in full color.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    2018** The Bombing of Pearl Harbor and the Assassination of United States President John F. Kennedy were among the most stunning moments of the 20th Century. Imagine that there was evidence proving the United States, at its highest levels, knew the intent of both events--ahead of time.On the heels of his most successful novel, Final Mission: Zion, in which he tackled the horrors of the Holocaust, Chuck Driskell now takes on Pearl Harbor and the JFK Assassination as only he can, with a decidedly unexpected twist.Enter Max Warfield, a man who supports himself by raiding heroin dealers for their cash. Max's crimes make him the target of a shadowy network. The network takes him by force and gives him a choice: steal the aforementioned evidence for them, or die. While the network has accounted for every single facet of the mission, they've made one critical error: they've grossly underestimated Max Warfield.Once again on the run, and this time in possession of history-altering evidence, Max finds himself in a position to turn the tables on the network. But, by doing so he could decimate the United States and cause significant loss of life.Combining historical fiction, espionage, crime, and intrigue--with a memorable cast of characters--Fringe Theory delivers thrills and chills all the way to its explosive climax in the snowy French Alps.

    Each self-contained chapter consists of three sections. The first describes the statistic, including how it is used and what information it provides. The second section reviews how it works, how to calculate the formula, the strengths and weaknesses of the technique, and the conditions needed for its use. The final section provides examples that use and interpret the statistic. A glossary of terms and symbols is also included.New features in the second edition include:an interactive CD with PowerPoint presentations and problems for each chapter including an overview of the problem's solution; new chapters on basic research concepts including sampling, definitions of different types of variables, and basic research designs and one on nonparametric statistics; more graphs and more precise descriptions of each statistic; and a discussion of confidence intervals.This brief paperback is an ideal supplement for statistics, research methods, courses that use statistics, or as a reference tool to refresh one's memory about key concepts. The actual research examples are from psychology, education, and other social and behavioral sciences.Materials formerly available with this book on CD-ROM are now available for download from our website www.psypress.com. Go to the book's page and look for the 'Download' link in the right-hand column.

    

    Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

    Your ultimate tablet experience is just one step away - selecting the applications, or apps, that provide exactly the entertainment, education, and functionality you desire. And that's where this guide will help you: finding the gems in Amazon's App Store. The App Store contains a breathtaking array of games, entertainment, utilities, and tools. Even though there are more than 700 apps described in this book, the bar was set very high--only a small percentage of the available apps are profiled here. Only those apps that deliver outstanding functionality - and whose developers have demonstrated a serious commitment to their customers - have made it into this reference guide. Nobody enjoys spending time weeding through apps that don't deliver the promised features (or contain hidden features you'd rather not have installed on your Kindle Fire). So what are you waiting for? Let's get started! Contents: INTRODUCTION ► BOOKS AND COMICS ► COMMUNICATION ► COOKING APPS ► EDUCATION ► ENTERTAINMENT ► FINANCE ► GAMES ► HEALTH AND FITNESS ► KIDS ► LIFESTYLE ► MUSIC ► NAVIGATION ► NEWS & MAGAZINES ► NOVELTY ► PHOTOGRAPHY ► PODCASTS ► PRODUCTIVITY ► REAL ESTATE ► REFERENCE ► SHOPPING ► SOCIAL NETWORKING ► SPORTS ► TRAVEL ► UTILITIES ► WEATHER ► WEB BROWSERS BOOK LOVERS, REJOICE! INDEX

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

    The author, Elliot Bogod, is a Founder and Managing Director of Broadway Realty, a real estate brokerage in Manhattan. With over twenty years experience, Elliot has sold over $2 billion in New York real estate. In this book, you will find: • A list of “magic words” often used in real estate investment, with clear and detailed explanations • Methods for evaluating the locations for your investments, using vibrant Manhattan neighborhoods as an example. • Review of different types of residential investments: condominiums, co-ops and townhouses • Detailed advice on investing in various types of commercial real estate: retail locations, offices, restaurants, hotels, garages and others • Multiple strategies, tactics and techniques for building wealth through your investments • Clear and concise information on mortgages, taxes and laws • Methods for achieving success through managing a team of experts working for you

    Not just any man, but a naked man with severe injuries all over her body. She should have driven on, should have left him there. But how could she leave a man to die that way? She took him home, aware that it could be the biggest mistake she’d ever made. She was already on the run, already trying to live as much off the grid as possible. What was she going to do with an injured man? What if he died in her bed? What would she do then? Teaching Lincoln Janet Spence—Summer—is the daughter of the local district attorney who plays at being a thief, doing all she can to humiliate her mother. That is until she gets caught by a local football hero who kidnaps her and plans a dark sort of revenge. Just her luck that Lincoln happens to choose that day to break into the football star’s house and recover items that will just pay off his gambling debts to the Gabbana family. Lincoln shows no interest in the tied up girl at first, but when he learns who she really is, how could he resist collecting this bit of leverage against a district attorney who ran on the campaign promise that she would rid Tampa of Lincoln and his faction of criminals? Cason's Girl Cason Durst was once carefree and popular, the kind of college kid who thinks he knows everything. And then he was arrested and met Lincoln Steele. Lincoln saved him, fixed his problems, and offered him a job. Now Cason keeps to himself, learning all he can from the men who formed Boone’s crew. He’s learned that making friends, falling in love, all those things he once took for granted, are dangerous to him now. He’s learned to keep to himself. In fact, he’s become kind of awkward. Shy, even. Therefore, he’s the last one anyone could have expected Lincoln to send out on a mission to romance a pretty girl. Let It Raine Kara Tripp walks into Jett’s office one afternoon, begging him to forgive the debt of her lover, Harry. She’s willing to do anything, a fact that’s underscored when she begins to undress right there in his office. Jett has had a lot of offers over the years, and he’s never had the patience for it. But when he hears that Kara just happens to be a therapist who works with autistic children, he can’t pass up the opportunity to see if her skills can help improve Raine’s behavior. Jett and Kara make a deal in which she goes to work for him and Raine for six months, and he will forgive Harry’s debt. And it works, for four months, it works perfectly. But then a mole pops up in Boone’s Crew, and Jett finds himself questioning everything, and everyone, around him. Boone's End Titus betrayed his crew. In his world, betrayal was a crime punishable by death. He has two choices: embrace the very enemy that threatens to rip his world apart, or turn himself in to the very men who would like nothing more than to put a bullet in his brain. It’s not a simple choice. Titus has to decide where his loyalties really lay, and figure out who he can trust before it’s too late and an innocent pays for his mistakes. Jude Volz lost her brother to violence, and her father went to jail when she needed him the most. Determined to make someone pay, she trusted the wrong man, and now she’s caught up in something she can’t control. Locked in a car with a traitor, she has no choice but to trust Titus, to open up to him, and hope that together they can find a way out of an impossible situation. But now they’re running not just from his crew, but from hers as well.

    Packed with math activities and puzzles, compelling stories of math geniuses, math facts and stats, and more, How to be a Math Genius makes the dreaded subject of math both engaging and relevant.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.