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.

    They signify the recognition that the interaction between science and religious reflection is not limited to those topics (such as cosmic history) concerning which the two disciplines offer complementary insights. It involves also an engagement with habits of thought which are natural in a culture greatly influenced by the success of science. To take this stance is not to submit to slavery to the spirit of the age, but simply to acknowledge that we view things from where we stand, with all the opportunities and limitations inherent in that particular perspective. . . . My concern is to explore to what extent we can use the search for motivated understanding, so congenial to the scientific mind, as a route to being able to make the substance of Christian orthodoxy our own. Of course, there are some revisions called for in the process, but I do not find that a trinitarian and incarnational theology needs to be abandoned in favour of a toned-down theology of a Cosmic Mind and an inspired teacher, alleged to be more accessible to the modern mind. A scientist expects a fundamental theory to be tough, surprising and exciting. "Throughout, my aim will be to seek an understanding based on a careful assessment of phenomena as the guide to reality. Just as I cannot regard science as merely an instrumentally successful manner of speaking which serves to get things done, so I cannot regard theology as merely concerned with a collection of stories which motivate an attitude to life. It must have its anchorage in the way things actually are, and the way they happen. . . . A bottom-up thinker is bound to ask, What makes you think this story is a verisimilitudinous account of Reality? The anchorage of Christianity in history is to be welcomed, despite its hazards. For me, the Bible is neither an inerrant account of propositional truth nor a compendium of timeless symbols, but a historically conditioned account of certain significant encounters and experiences. Read in that way, I believe it can provide the basis for a Christian belief with is certainly revised in the light of our twentieth-century insights but which is recognizably contained within an envelope of understanding in continuity with the developing doctrine of the Church throughout the centuries." - from the introduction

    But what if free will doesn't exist? What if our lives are largely predetermined, hardwired in our brains - and our choices over what we eat, who we fall in love with, even what we believe are not real choices at all? Neuroscience is challenging everything we think we know about ourselves, revealing how we make decisions and form our own reality, unaware of the role of our unconscious minds. Did you know, for example, that:* You can carry anxieties and phobias across generations of your family?* Your genes and pleasure and reward receptors in your brain will determine how much you eat?* We can sniff out ideal partners with genes that give our offspring the best chance of survival?Leading neuroscientist Hannah Critchlow draws vividly from everyday life and other experts in their field to show the extraordinary potential, as well as dangers, which come with being able to predict our likely futures - and looking at how we can alter what's in store for us. Lucid, illuminating, awe-inspiring The Science of Fate revolutionises our understanding of who we are - and empowers us to help shape a better future for ourselves and the wider world.

    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.

    Learn about Dr Karl, the universe and everything, and discover how air-conditioning is sexist, how you can kill a spinning hard drive by shouting at it and how space junk is threatening our future capabilities for space travel.Could there be life on one of Saturn's moons? How much power could you collect from all the lightning on Earth? Why do books have book-smell? Why is 10 per cent of the Earth's land area prone to sinkholes?Why are some people chronically late? What would happen if the Earth stopped spinning? Why do most people hardly remember anything from the first half-a-dozen years of their life?How close are we to the Artificial Uterus? Why do some songs turn into "earworms" and stick inside your brain? Why does your hotel room access card get wiped so easily?And is your home WiFi really spying on you?

    Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949.From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness.In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography.The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

    The year 2000 is alternatively the year 2544 (Buddhist), 6236 (Ancient Egyptian), 5761 (Jewish) or simply the Year of the Dragon (Chinese). The story of the creation of the Western calendar, which is related in this book, is a story of emperors and popes, mathematicians and monks, and the growth of scientific calculation to the point where, bizarrely, our measurement of time by atomic pulses is now more accurate than time itself: the Earth is an elderly lady and slightly eccentric - she loses half a second a century. Days have been invented (Julius Caesar needed an extra 80 days in 46BC), lost (Pope Gregory XIII ditched ten days in 1582) and moved (because Julius Caesar had 31 in his month, Augustus determined that he should have the same, so he pinched one from February).

    Most of her anxieties seem irrational, nothing that can’t be fixed with the help of some Xanax. But late one stormy summer night, when her husband, Sam, is away on one of his frequent business trips, Claire’s fears come to life. She discovers an intruder has broken into her young daughter’s bedroom. She watches helplessly as he picks up her sleeping child from her bed. Desperate to protect her family, Claire puts herself in the line of fire and utters the plea that will undo her: “Take me instead.”As she drives away in the kidnapper’s car, Claire fears for her children, but not for herself. And she can’t help noticing the reversal in her marriage—for the first time in ten years, Sam will not know where she is.For the next week, Claire is tied to a bed in a strange motel room, the intruder her only companion. She is forced to lie still and contemplate the reasons for this assault on her family. Is this just a random crime, or something more sinister? Has the shadowy past that she tried so hard to leave behind finally caught up with her? Day after day, she goes deeper into herself, reevaluating her marriage and her role as a mother, and unburying the source of her crippling anxiety. In seven days she will step out to the very brink of her soul—perhaps never to return.A riveting debut novel that will appeal to fans of Sue Miller and Janet Fitch, Standing Still is a powerful exploration of the darker side of motherhood and marriage.

    Provocative and engaging, the Best American Science Writing 2009 as edited by Angier covers the full spectrum of scientific inquiry—from biochemistry, physics, and astronomy to genetics, evolutionary theory, and cognition.Introduction / by Natalie Angier --The itch / Atul Gawande --Twitchy / Sallie Tisdale --The first ache / Annie Murphy Paul --A journey inside the brain / Oliver Sacks --The truth about autism / David Wolman --Blocking the transmission of violence / Alex Kotlowitz --Reading the wounds / Jina Moore --A cloud of smoke / Jennifer Kahn --War! What is it good for? Absolutely nothing / John Horgan --Face-offs of the female kind / Marina Cords --Tough lessons from golden rice / Martin Enserink --Back to the future / J. Madeleine Nash --A tall, cool drink of ... sewage? / Elizabeth Royte --Contagious cancer / David Quammen --Looking up / Jennifer Margulis --Birdbrain / Margaret Talbot --Want to remember everything you'll ever learn? Surrender to this algorithm / Gary Wolf --Hello, HAL / John Seabrook --The anonymity experiment / Catherine Price --The sky is falling / Gregg Easterbrook --Big brain theory: have cosmologists lost theirs? / Dennis Overbye --The final frontier / Karen Olsson --Perhaps death is proud; more reason to savor life / Theresa Brown --Evolutionists flock to Darwin-shaped wall stain / The Onion

    The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive.

    The true measure of any leader is his or her ability to react based on past experience and gut feelings, respond in real time to current circumstances, and then to recover quickly and move on with new lessons learned. The Little Book of Leadership combines classic style with the latest innovations to challenges the reader to self-evaluate every facet of their leadership, coaching, and communication abilities in order to better formulate what actions can be taken to improve their natural skills. Ideas and answers are provided for every challenge.Chapters include information about the 12.5 leadership strengths: From insights to legacy and every element in between. Morale, Attitude, Resilience, Opportunity, Guts, Measurement, Coach, Celebration, Next-level, and Lost Secret of Leadership Foreword by Dr. Paul "Doc" Hersey, creator of Situational Leadership Other books by Gitomer: The Sales Bible: The Ultimate Sales Resource, Revised Edition, also by Wiley, The Little Red Book of Selling (Bard Press) The Little Gold Book of YES! Attitude (Pearson) Whereas other books rely on theory or philosophy, The Little Book of Leadership takes leadership into the real world of business, providing proven methods for becoming a successful leader.

    She will finally come face-to-face with the other queen-in-waiting, Leandra. In this game of chess, two queens must make power moves in order to rule the land.

    What do you say when your faith is challenged by those claiming to speak in the name of science or reason? Discerning Truth provides a practical and engaging resource on the use of logic in this critical debate. Filled with anecdotes from both creative examples and real-life illustrations that help clarify logical issues in apologetics. Become skilled at distinguishing sound arguments from emotionally-charged rhetoric. Helps any believer refute evolutionary perspectives. Lisle believes that creationists need to be able to recognize and refute evolutionist arguments, and to do so in a way that both honors God and lines up with the truth of His Word (Eph. 5:1). The role of logic, the study of correct reasoning, is becoming a vanishing skill in our society. Yet it is a vital tool in assisting Christians in assessing the weaknesses in evolutionary thought. Here is the clear and concise guide for every believer in defending your faith in the face of adversity.

    Understanding these basics is key to becoming a successful musician and well-rounded music lover. Music Theory 101 covers everything novice musicians and lifelong learners need to know, including: -How to read sheet music -Understanding the construction of chords and scales -The different rhythm and time signatures -How keys are identified and organized Full of music trivia, music history, comprehensive instruction, and visual aids of scales, music symbols, and chords throughout, Music Theory 101 is the essential guide you need for a crash course in music theory that even professional musicians would envy.