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.

    In the tradition of Manning's ground breaking "In Action" series, this book comes from right from the source. Written by Bruce Payette, one of principal creators of PowerShell, Windows PowerShell in Action shows you how to build scripts and utilities to automate system tasks or create powerful system management tools to handle the day-to-day tasks that drive a Windows administrator's life. Because it's based on the .NET platform, PowerShell is also a powerful tool for developers and power users.Windows PowerShell in Action was written by Bruce Payette, one of the founding members of the Windows PowerShell team, co-designer of the PowerShell language and the principal author of the PowerShell language implementation. The book enables you to get the most out of the PowerShell environment. Using many examples, both small and large, this book illustrates the features of the language and environment and shows how to compose those features into solutions, quickly and effectively.This book is designed for anyone who wants to learn PowerShell and use it well. Rather than simply being a book of recipes to read and apply, this book gives you the deep knowledge about how PowerShell works and how to apply it.

    This is the story of a technical genius who, against all odds, created a series of machines that revolutionized the computing industry. Chronicling each major breakthrough, Murray takes us behind the scenes to witness late-night brainstorming sessions, miraculous eleventh-hour fixes, and flashes of insight when bold new ideas were cooked up. Drawing from rare in-depth interviews with Seymour Cray, Murray gives us an unparalleled portrait of the man and his methods, reporting not only Cray's personal reflections, but the recollections of his closest colleagues and the truth behind the rumors.

    A journalist investigates the past, present, and future of computer crimes, as he attends a hacker convention, documents the extent of the computer crimes, and presents intriguing facts about hackers and their misdoings.

    The author concentrates on five key moments of transition: the transformation of the computer in the late 1940s from a specialized scientific instrument to a commercial product; the emergence of small systems in the late 1960s; the beginning of personal computing in the 1970s; the spread of networking after 1985; and, in a chapter written for this edition, the period 1995-2001.The new material focuses on the Microsoft antitrust suit, the rise and fall of the dot-coms, and the advent of open source software, particularly Linux. Within the chronological narrative, the book traces several overlapping threads: the evolution of the computer's internal design; the effect of economic trends and the Cold War; the long-term role of IBM as a player and as a target for upstart entrepreneurs; the growth of software from a hidden element to a major character in the story of computing; and the recurring issue of the place of information and computing in a democratic society.The focus is on the United States (though Europe and Japan enter the story at crucial points), on computing per se rather than on applications such as artificial intelligence, and on systems that were sold commercially and installed in quantities.

    But is it for the better? Amid a chorus of doomsayers, Clive Thompson delivers a resounding "yes." The Internet age has produced a radical new style of human intelligence, worthy of both celebration and analysis. We learn more and retain it longer, write and think with global audiences, and even gain an ESP-like awareness of the world around us. Modern technology is making us smarter, better connected, and often deeper—both as individuals and as a society. In Smarter Than You Think Thompson shows that every technological innovation—from the written word to the printing press to the telegraph—has provoked the very same anxieties that plague us today. We panic that life will never be the same, that our attentions are eroding, that culture is being trivialized. But as in the past, we adapt—learning to use the new and retaining what’s good of the old. Thompson introduces us to a cast of extraordinary characters who augment their minds in inventive ways. There's the seventy-six-year old millionaire who digitally records his every waking moment—giving him instant recall of the events and ideas of his life, even going back decades. There's a group of courageous Chinese students who mounted an online movement that shut down a $1.6 billion toxic copper plant. There are experts and there are amateurs, including a global set of gamers who took a puzzle that had baffled HIV scientists for a decade—and solved it collaboratively in only one month. Smarter Than You Think isn't just about pioneers. It's about everyday users of technology and how our digital tools—from Google to Twitter to Facebook and smartphones—are giving us new ways to learn, talk, and share our ideas. Thompson harnesses the latest discoveries in social science to explore how digital technology taps into our long-standing habits of mind—pushing them in powerful new directions. Our thinking will continue to evolve as newer tools enter our lives. Smarter Than You Think embraces and extols this transformation, presenting an exciting vision of the present and the future.

    Digital technologies—with hardware, software, and networks at their core—will in the near future diagnose diseases more accurately than doctors can, apply enormous data sets to transform retailing, and accomplish many tasks once considered uniquely human.In The Second Machine Age MIT’s Erik Brynjolfsson and Andrew McAfee—two thinkers at the forefront of their field—reveal the forces driving the reinvention of our lives and our economy. As the full impact of digital technologies is felt, we will realize immense bounty in the form of dazzling personal technology, advanced infrastructure, and near-boundless access to the cultural items that enrich our lives.Amid this bounty will also be wrenching change. Professions of all kinds—from lawyers to truck drivers—will be forever upended. Companies will be forced to transform or die. Recent economic indicators reflect this shift: fewer people are working, and wages are falling even as productivity and profits soar.Drawing on years of research and up-to-the-minute trends, Brynjolfsson and McAfee identify the best strategies for survival and offer a new path to prosperity. These include revamping education so that it prepares people for the next economy instead of the last one, designing new collaborations that pair brute processing power with human ingenuity, and embracing policies that make sense in a radically transformed landscape.A fundamentally optimistic book, The Second Machine Age alters how we think about issues of technological, societal, and economic progress.

    Banks, telecommunications companies, and critical government networks (including the British Parliament and the French and German military) were infected. No one had ever seen anything like it. By January 2009 the worm lay hidden in at least eight million computers and the botnet of linked computers that it had created was big enough that an attack might crash the world. This is the gripping tale of the group of hackers, researches, millionaire Internet entrepreneurs, and computer security experts who united to defend the Internet from the Conficker worm: the story of the first digital world war.

    With the same insight and authority that made their book The Unix programming Environment a classic, Brian Kernighan and Rob Pike have written The Practice of Programming to help make individual programmers more effective and productive.

    The cause of their failure was a complete mystery.Five months later, a seemingly unrelated event occurred. A computer security firm in Belarus was called in to troubleshoot some computers in Iran that were caught in a reboot loop—crashing and rebooting repeatedly. At first, technicians with the firm believed the malicious code they found on the machines was a simple, routine piece of malware. But as they and other experts around the world investigated, they discovered a virus of unparalleled complexity and mysterious provenance and intent. They had, they soon learned, stumbled upon the world’s first digital weapon.Stuxnet, as it came to be known, was unlike any other virus or worm built before: It was the first attack that reached beyond the computers it targeted to physically destroy the equipment those computers controlled. It was an ingenious attack, jointly engineered by the United States and Israel, that worked exactly as planned, until the rebooting machines gave it all away. And the discovery of Stuxnet was just the beginning: Once the digital weapon was uncovered and deciphered, it provided clues to other tools lurking in the wild. Soon, security experts found and exposed not one but three highly sophisticated digital spy tools that came from the same labs that created Stuxnet. The discoveries gave the world its first look at the scope and sophistication of nation-state surveillance and warfare in the digital age.Kim Zetter, a senior reporter at Wired, has covered hackers and computer security since 1999 and is one of the top journalists in the world on this beat. She was among the first reporters to cover Stuxnet after its discovery and has authored many of the most comprehensive articles about it. In COUNTDOWN TO ZERO DAY: Stuxnet and the Launch of the World’s First Digital Weapon, Zetter expands on this work to show how the code was designed and unleashed and how its use opened a Pandora’s Box, ushering in an age of digital warfare in which any country’s infrastructure—power grids, nuclear plants, oil pipelines, dams—is vulnerable to the same kind of attack with potentially devastating results. A sophisticated digital strike on portions of the power grid, for example, could plunge half the U.S. into darkness for weeks or longer, having a domino effect on all other critical infrastructures dependent on electricity.

    Kai-Fu Lee—one of the world’s most respected experts on AI and China—reveals that China has suddenly caught up to the US at an astonishingly rapid and unexpected pace.In AI Superpowers, Kai-Fu Lee argues powerfully that because of these unprecedented developments in AI, dramatic changes will be happening much sooner than many of us expected. Indeed, as the US-Sino AI competition begins to heat up, Lee urges the US and China to both accept and to embrace the great responsibilities that come with significant technological power.Most experts already say that AI will have a devastating impact on blue-collar jobs. But Lee predicts that Chinese and American AI will have a strong impact on white-collar jobs as well. Is universal basic income the solution? In Lee’s opinion, probably not.  But he provides a clear description of which jobs will be affected and how soon, which jobs can be enhanced with AI, and most importantly, how we can provide solutions to some of the most profound changes in human history that are coming soon.

    Written by Peter Morville, author of the groundbreaking Information Architecture for the World Wide Web, the book defines our current age as a state of unlimited findability. In other words, anyone can find anything at any time. Complete navigability.Morville discusses the Internet, GIS, and other network technologies that are coming together to make unlimited findability possible. He explores how the melding of these innovations impacts society, since Web access is now a standard requirement for successful people and businesses. But before he does that, Morville looks back at the history of wayfinding and human evolution, suggesting that our fear of being lost has driven us to create maps, charts, and now, the mobile Internet.The book's central thesis is that information literacy, information architecture, and usability are all critical components of this new world order. Hand in hand with that is the contention that only by planning and designing the best possible software, devices, and Internet, will we be able to maintain this connectivity in the future. Morville's book is highlighted with full color illustrations and rich examples that bring his prose to life.Ambient Findability doesn't preach or pretend to know all the answers. Instead, it presents research, stories, and examples in support of its novel ideas. Are we truly at a critical point in our evolution where the quality of our digital networks will dictate how we behave as a species? Is findability indeed the primary key to a successful global marketplace in the 21st century and beyond. Peter Morville takes you on a thought-provoking tour of these memes and more -- ideas that will not only fascinate but will stir your creativity in practical ways that you can apply to your work immediately.

    Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.

    That's why Elizabeth Castro has written HTML 4 for the World Wide Web, Fourth Edition: Visual QuickStart Guide, an update to her blockbuster guide to HTML 4. You'll find all the concise, practical advice--and fun examples--that made the first edition a worldwide bestseller, plus entirely new coverage of debugging, JavaScript, and using tables for page layout, and an expanded section on Cascading Style Sheets.Like all the books in the Visual QuickStart series, this one breaks even the most complex tasks into easy-to-follow steps illustrated with hundreds of screenshots and the actual code. The book presumes no prior knowledge of HTML, making it the perfect introduction for beginners. But its tabbed format and info-packed appendixes (on special HTML characters and Web-safe colors, for example) also make it a handy and indispensable reference for those who build Web pages for a living. Find out why Amazon called the previous edition a "dream guide" to HTML.

    Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.