Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    On the cusp of decoding brain signals that govern motor skills, they are developing miraculous technologies to enable paraplegics and wounded soldiers to move prosthetic limbs, and the rest of us to manipulate computers and other objects through thought alone. These fiercely competitive scientists are vying for Defense Department and venture capital funding, prestige, and great wealth. Part life-altering cure, part science fiction, part military dream, these cutting-edge brain-computer interfaces promise to improve lives—but also hold the potential to augment soldiers' combat capabilities. In The Brain Electric, Malcolm Gay follows the dramatic emergence of these technologies, taking us behind the scenes into the operating rooms, start-ups, and research labs where the future is unfolding. With access to many of the field's top scientists, Gay illuminates this extraordinary race—where science, medicine, profit, and war converge—for the first time. But this isn't just a story about technology. At the heart of this research is a group of brave, vulnerable patient-volunteers whose lives are given new meaning through participating in these experiments. The Brain Electric asks us to rethink our relationship to technology, our bodies, even consciousness itself—challenging our assumptions about what it means to be human.

    Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, "Introducing Relativity" plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Newton to Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory. This is a superlative, fascinating graphic account of Einstein's strange world and how his legacy has been built upon since.

    With expanded coverage of ethics, analysis processes, and approaches, authors Catherine Marshall and Gretchen B. Rossman, have updated this highly popular text to reflect the advances and challenges presented by provocative developments and new applications since the previous edition.

    The Level 3 Student's Book builds on the foundations established in Level 2 for accurate and fluent communication, extending grammatical, lexical, and functional skills. Beautiful color photographs and illustrations facilitate the teaching of new vocabulary. The New Interchange series teaches students to use English for everyday situations and purposes related to school, work, social life, and leisure. As with the other levels of New Interchange, a complete set of ancillaries, including a video program, is available to make classes interesting and productive.

    We have no hereditary aristocracy or landed gentry, and even the poorest among us feel that they can become rich through education, hard work, or sheer gumption. And yet social class remains a powerful force in American life.In Class Matters, a team of New York Times reporters explores the ways in which class--defined as a combination of income, education, wealth, and occupation--influences destiny in a society that likes to think of itself as a land of opportunity. We meet individuals in Kentucky and Chicago who have used education to lift themselves out of poverty and others in Virginia and Washington whose lack of education holds them back. We meet an upper-middle-class family in Georgia who moves to a different town every few years, and the newly rich in Nantucket whose mega-mansions have driven out the longstanding residents. And we see how class disparities manifest themselves at the doctor's office and at the marriage altar.For anyone concerned about the future of the American dream, Class Matters is truly essential reading.Class Matters is a beautifully reported, deeply disturbing, portrait of a society bent out of shape by harsh inequalities. Read it and see how you fit into the problem or--better yet--the solution!--Barbara Ehrenreich, author of Nickel and Dimed and Bait and Switch

    Mignon Fogarty, whose popular podcasts have been downloaded over twenty million times and whose first book, Grammar Girl's Quick and Dirty Tips for Better Writing,was a New York Times bestseller.  For beginners to more advanced students, this guide covers it all: the parts of speech, sentences, and punctuation are all explained clearly and concisely with the warmth, wit, and accessibility Grammar Girl is known for.  Pop quizzes are scattered throughout to reinforce the explanations, as well as Grammar Girl's trademark Quick and Dirty Tips--easy and fun memory tricks to help with those challenging rules.  Complete with a writing style chapter and a guide to the different kinds of writing--everything from school papers to letter writing to e-mails--this guide is sure to become the one-stop, essential book on every student's desk.

    It can offer examples to inform our decisions and guesses about the consequences of our actions. But we should be wary of looking to history for dogmatic lessons.We should distrust those who abuse history when they call on it to justify unreasonable claims to land, for example, or restitution. MacMillan illustrates how dangerous history can be in the hands of nationalistic or religious or ethnic leaders who use it to foster a sense of grievance and a desire for revenge.

    First published in 1972, it was based on the BBC television series about which the (London) Sunday Times critic commented: "This is an eye-opener in more ways than one: by concentrating on how we look at paintings . . . he will almost certainly change the way you look at pictures." By now he has."Berger has the ability to cut right through the mystification of the professional art critics . . . He is a liberator of images: and once we have allowed the paintings to work on us directly, we are in a much better position to make a meaningful evaluation" —Peter Fuller, Arts Review"The influence of the series and the book . . . was enormous . . . It opened up for general attention to areas of cultural study that are now commonplace" —Geoff Dyer in Ways of TellingWinner of the 1972 Booker Prize for his novel, G., John Peter Berger (born November 5th, 1926) is an art critic, painter and author of many novels including A Painter of Our Time, From A to X and Bento’s Sketchbook.

    It's goal is the successful design and operation of chemical reactors. This text emphasizes qualitative arguments, simple design methods, graphical procedures, and frequent comparison of capabilities of the major reactor types. Simple ideas are treated first, and are then extended to the more complex.

    

    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.

    Some of the objects are described by future historians; others through found materials, short stories, or dialogues. All come from a very real future.