When a scholar as careful and learned as Mr. Kennedy is prompted by contemporary issues to reexamine the great processes of the past, the result can only be an enhancement of our historical understanding.... When the study is written as simply and attractively as this work is, its publication may have a great and beneficient impact. It is to be hoped that Mr. Kennedy's will have one, at a potentially decisive moment in America's history."Michael Howard, The New York Times Book Review"Important, learned, and lucid... Paul Kennedy's great achievement is that he makes us see our current international problems against a background of empires that have gone under because they were unaible to sustain the material cost of greatness; and he does so in a universal historical perspective of which Ranke would surely have approved."James Joll, The New York Review of Books"His strategic-economic approach provides him with the context for a shapely narrative....Professor Kennedy not only exploits his framework eloquently, he also makes use of it to dig deeper and explore the historical contexts in which some 'power centers' prospered....But the most commanding purpose of his project...is the lesson he draws from 15 centuries of statecraft to apply to the present scene....[The book's] final section is for everyone concerned with the contemporary political scene."Christopher Lehmann-Haupt, The New York Times"Kennedy gives epic meaning to the nation's relative economic and industrial decline." Newsweek

    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.

    From the uncanny resilience of Chinese through twenty centuries of invasions to the engaging self-regard of Greek and to the struggles that gave birth to the languages of modern Europe, these epic achievements and more are brilliantly explored, as are the fascinating failures of once "universal" languages. A splendid, authoritative, and remarkable work, it demonstrates how the language history of the world eloquently reveals the real character of our planet's diverse peoples and prepares us for a linguistic future full of surprises.

    Sean Carroll, theoretical physicist and one of this world’s most celebrated writers on science, rewrites the history of 20th century physics. Already hailed as a masterpiece, Something Deeply Hidden shows for the first time that facing up to the essential puzzle of quantum mechanics utterly transforms how we think about space and time. His reconciling of quantum mechanics with Einstein’s theory of relativity changes, well, everything. Most physicists haven’t even recognized the uncomfortable truth: physics has been in crisis since 1927. Quantum mechanics has always had obvious gaps—which have come to be simply ignored. Science popularizers keep telling us how weird it is, how impossible it is to understand. Academics discourage students from working on the "dead end" of quantum foundations. Putting his professional reputation on the line with this audacious yet entirely reasonable book, Carroll says that the crisis can now come to an end. We just have to accept that there is more than one of us in the universe. There are many, many Sean Carrolls. Many of every one of us. Copies of you are generated thousands of times per second. The Many Worlds Theory of quantum behavior says that every time there is a quantum event, a world splits off with everything in it the same, except in that other world the quantum event didn't happen. Step-by-step in Carroll's uniquely lucid way, he tackles the major objections to this otherworldly revelation until his case is inescapably established. Rarely does a book so fully reorganize how we think about our place in the universe. We are on the threshold of a new understanding—of where we are in the cosmos, and what we are made of.

    Inside: Logic Resource CD-ROM

    It infected nearly one-third of the world’s population and killed ten percent of those it struck. In its wake, schools and businesses closed, hospitals became overwhelmed, and the sick spilled out into makeshift care centers in public spaces. Policemen, public transportation workers, and everyday citizens in face masks were a common—and eerie—sight. Yet, discussion of this global pandemic often takes a backseat to World War I and other contemporary events.

    This edition contains NEW tables on Properties of Ionic Liquids, Solubilities of Hydrocarbons in Sea Water, Solubility of Organic Compounds in Superheated Water, and Nutritive Value of Foods. It also updates many tables including Critical Constants, Heats of Vaporization, Aqueous Solubility of Organic Compounds, Vapor Pressure of Mercury, Scientific Abbreviations and Symbols, and Bond Dissociation Energies. The 88th Edition also presents a new Foreword written by Dr. Harold Kroto, a 1996 Nobel Laureate in Chemistry.