This is the America we believe in a nation of opportunity, constrained only by ability and effort. But during the last twenty-five years we have seen a disturbing opportunity gap emerge. Americans have always believed in equality of opportunity, the idea that all kids, regardless of their family background, should have a decent chance to improve their lot in life. Now, this central tenet of the American dream seems no longer true or at the least, much less true than it was. Robert Putnam about whom The Economist said, "His scholarship is wide-ranging, his intelligence luminous, his tone modest, his prose unpretentious and frequently funny," offers a personal but also authoritative look at this new American crisis. Putnam begins with his high school class of 1959 in Port Clinton, Ohio. By and large the vast majority of those students "our kids" went on to lives better than those of their parents. But their children and grandchildren have had harder lives amid diminishing prospects. Putnam tells the tale of lessening opportunity through poignant life stories of rich and poor kids from cities and suburbs across the country, drawing on a formidable body of research done especially for this book. Our Kids is a rare combination of individual testimony and rigorous evidence. Putnam provides a disturbing account of the American dream that should initiate a deep examination of the future of our country.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    The Structure of Scientific Revolutions is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. Fifty years later, it still has many lessons to teach. With The Structure of Scientific Revolutions, Kuhn challenged long-standing linear notions of scientific progress, arguing that transformative ideas don’t arise from the day-to-day, gradual process of experimentation and data accumulation but that the revolutions in science, those breakthrough moments that disrupt accepted thinking and offer unanticipated ideas, occur outside of “normal science,” as he called it. Though Kuhn was writing when physics ruled the sciences, his ideas on how scientific revolutions bring order to the anomalies that amass over time in research experiments are still instructive in our biotech age. This new edition of Kuhn’s essential work in the history of science includes an insightful introduction by Ian Hacking, which clarifies terms popularized by Kuhn, including paradigm and incommensurability, and applies Kuhn’s ideas to the science of today. Usefully keyed to the separate sections of the book, Hacking’s introduction provides important background information as well as a contemporary context.  Newly designed, with an expanded index, this edition will be eagerly welcomed by the next generation of readers seeking to understand the history of our perspectives on science.

    Simpson, the evidence in the case, and the role of the prosecution and defense.

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone--from those who fumble over fractions to those who solve complex equations in their heads--winds up marveling at what numbers can do.Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach them.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

    Lavishly illustrated with engravings, woodcuts, and original drawings and diagrams, Sciencia will inspire readers of all ages to take an interest in the interconnected knowledge of the modern sciences.Beautifully produced in thirteen different colors of ink, Sciencia is an essential reference and an elegant gift.Wooden Books was founded in 1999 by designer John Martineau near Hay-on-Wye. The aim was to produce a beautiful series of recycled books based on the classical philosophies, arts and sciences. Using the Beatrix Potter formula of text facing picture pages, and old-styles fonts, along with hand-drawn illustrations and 19th century engravings, the books are designed not to date. Small but stuffed with information. Eco friendly and educational. Big ideas in a tiny space. There are over 1,000,000 Wooden Books now in print worldwide and growing.

    Missoula, Montana, is a typical college town, with a highly regarded state university, bucolic surroundings, a lively social scene, and an excellent football team — the Grizzlies — with a rabid fan base. The Department of Justice investigated 350 sexual assaults reported to the Missoula police between January 2008 and May 2012. Few of these assaults were properly handled by either the university or local authorities. In this, Missoula is also typical. A DOJ report released in December of 2014 estimates 110,000 women between the ages of eighteen and twenty-four are raped each year. Krakauer’s devastating narrative of what happened in Missoula makes clear why rape is so prevalent on American campuses, and why rape victims are so reluctant to report assault. Acquaintance rape is a crime like no other. Unlike burglary or embezzlement or any other felony, the victim often comes under more suspicion than the alleged perpetrator. This is especially true if the victim is sexually active; if she had been drinking prior to the assault — and if the man she accuses plays on a popular sports team. The vanishingly small but highly publicized incidents of false accusations are often used to dismiss her claims in the press. If the case goes to trial, the woman’s entire personal life becomes fair game for defense attorneys. This brutal reality goes a long way towards explaining why acquaintance rape is the most underreported crime in America. In addition to physical trauma, its victims often suffer devastating psychological damage that leads to feelings of shame, emotional paralysis and stigmatization. PTSD rates for rape victims are estimated to be 50%, higher than soldiers returning from war. In Missoula, Krakauer chronicles the searing experiences of several women in Missoula — the nights when they were raped; their fear and self-doubt in the aftermath; the way they were treated by the police, prosecutors, defense attorneys; the public vilification and private anguish; their bravery in pushing forward and what it cost them. Some of them went to the police. Some declined to go to the police, or to press charges, but sought redress from the university, which has its own, non-criminal judicial process when a student is accused of rape. In two cases the police agreed to press charges and the district attorney agreed to prosecute. One case led to a conviction; one to an acquittal. Those women courageous enough to press charges or to speak publicly about their experiences were attacked in the media, on Grizzly football fan sites, and/or to their faces. The university expelled three of the accused rapists, but one was reinstated by state officials in a secret proceeding. One district attorney testified for an alleged rapist at his university hearing. She later left the prosecutor’s office and successfully defended the Grizzlies’ star quarterback in his rape trial. The horror of being raped, in each woman’s case, was magnified by the mechanics of the justice system and the reaction of the community. Krakauer’s dispassionate, carefully documented account of what these women endured cuts through the abstract ideological debate about campus rape. College-age women are not raped because they are promiscuous, or drunk, or send mixed signals, or feel guilty about casual sex, or seek attention. They are the victims of a terrible crime and deserving of compassion from society and fairness from a justice system that is clearly broken.

    In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

    The evidence is all around us: Our system of justice is fundamentally broken.   But it’s not for the reasons we tend to think, as law professor Adam Benforado argues in this eye-opening, galvanizing book. Even if the system operated exactly as it was designed to, we would still end up with wrongful convictions, trampled rights, and unequal treatment. This is because the roots of injustice lie not inside the dark hearts of racist police officers or dishonest prosecutors, but within the minds of each and every one of us.   This is difficult to accept. Our nation is founded on the idea that the law is impartial, that legal cases are won or lost on the basis of evidence, careful reasoning and nuanced argument. But they may, in fact, turn on the camera angle of a defendant’s taped confession, the number of photos in a mug shot book, or a simple word choice during a cross-examination. In Unfair, Benforado shines a light on this troubling new field of research, showing, for example, that people with certain facial features receive longer sentences and that judges are far more likely to grant parole first thing in the morning.   Over the last two decades, psychologists and neuroscientists have uncovered many cognitive forces that operate beyond our conscious awareness. Until we address these hidden biases head-on, Benforado argues, the social inequality we see now will only widen, as powerful players and institutions find ways to exploit the weaknesses of our legal system.    Weaving together historical examples, scientific studies, and compelling court cases—from the border collie put on trial in Kentucky to the five teenagers who falsely confessed in the Central Park Jogger case—Benforado shows how our judicial processes fail to uphold our values and protect society’s weakest members. With clarity and passion, he lays out the scope of the legal system’s dysfunction and proposes a wealth of practical reforms that could prevent injustice and help us achieve true fairness and equality before the law.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Davis has put the case for the latest abolition movement in American life: the abolition of the prison. As she quite correctly notes, American life is replete with abolition movements, and when they were engaged in these struggles, their chances of success seemed almost unthinkable. For generations of Americans, the abolition of slavery was sheerest illusion. Similarly,the entrenched system of racial segregation seemed to last forever, and generations lived in the midst of the practice, with few predicting its passage from custom. The brutal, exploitative (dare one say lucrative?) convict-lease system that succeeded formal slavery reaped millions to southern jurisdictions (and untold miseries for tens of thousands of men, and women). Few predicted its passing from the American penal landscape. Davis expertly argues how social movements transformed these social, political and cultural institutions, and made such practices untenable.In Are Prisons Obsolete?, Professor Davis seeks to illustrate that the time for the prison is approaching an end. She argues forthrightly for "decarceration", and argues for the transformation of the society as a whole.

    The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses.

    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.