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.

     -Byte, September 1995 I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up. -Charles Long If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing. -Bill Gates It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers. -Jonathan Laventhol This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structures-the representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP), http: //msp.org

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    From the New York Times bestselling author of Chasing the Scream and Lost Connections comes a groundbreaking examination of why this is happening--and how to get our attention back. "The book the world needs in order to win the war on distraction."--Adam Grant, author of Think Again"Read this book to save your mind."--Susan Cain, author of QuietIn the United States, teenagers can focus on one task for only sixty-five seconds at a time, and office workers average only three minutes. Like so many of us, Johann Hari was finding that constantly switching from device to device and tab to tab was a diminishing and depressing way to live. He tried all sorts of self-help solutions--even abandoning his phone for three months--but nothing seemed to work. So Hari went on an epic journey across the world to interview the leading experts on human attention--and he discovered that everything we think we know about this crisis is wrong.We think our inability to focus is a personal failure to exert enough willpower over our devices. The truth is even more disturbing: our focus has been stolen by powerful external forces that have left us uniquely vulnerable to corporations determined to raid our attention for profit. Hari found that there are twelve deep causes of this crisis, from the decline of mind-wandering to rising pollution, all of which have robbed some of our attention. In Stolen Focus, he introduces readers to Silicon Valley dissidents who learned to hack human attention, and veterinarians who diagnose dogs with ADHD. He explores a favela in Rio de Janeiro where everyone lost their attention in a particularly surreal way, and an office in New Zealand that discovered a remarkable technique to restore workers' productivity.Crucially, Hari learned how we can reclaim our focus--as individuals, and as a society--if we are determined to fight for it. Stolen Focus will transform the debate about attention and finally show us how to get it back.

    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    Spanning fifty books and hundreds of ideas, 50 Psychology Classics examines some of the most intriguing questions regarding cognitive development and behavioral motivations, summarizing the myriad theories that psychologists have put forth to make sense of the human experience. Butler-Bowdon covers everything from humanism to psychoanalysis to the fundamental principles where theorists disagree, like nature versus nurture and the existence of free will. In this single book, you will find Carl Jung, Sigmund Freud, Alfred Kinsey, and the most significant contributors to modern psychological thought. From the author of the bestselling 50 Self-Help Classics, 50 Success Classics, and 50 Spiritual Classics, 50 Psychology Classics will enrich your understanding of the human condition.Includes:1. Alfred Adler "Understanding Human Nature" (1927)2. Gavin Becker "The Gift of Fear" (1997)3. Eric Berne "Games People Play" (1964)4. Edward de Bono "Lateral Thinking" (1970)5. Robert Bolton "People Skills" (1979)6. Nathaniel Branden "The Psychology of Self-Esteem" (1969)7. Isabel Briggs Myers "Gifts Differing: Understanding Personality Type" (1980)8. Louann Brizendine "The Female Brain" (2006)9. David D Burns "Feeling Good: The New Mood Therapy" (1980)10. Robert Cialdini "Influence: The Psychology of Persuasion" (1984)11. Mihaly Csikszentmihalyi "Creativity" (1997)12. Albert Ellis & Robert Harper (1961) "A Guide To Rational Living" (1961)13. Milton Erickson "My Voice Will Go With You" (1982) by Sidney Rosen14. Eric Erikson "Young Man Luther" (1958)15. Hans Eysenck "Dimensions of Personality" (1947)16. Susan Forward "Emotional Blackmail" (1997)17. Viktor Frankl "The Will to Meaning" (1969)18. Anna Freud "The Ego and the Mechanisms of Defense" (1936)19. Sigmund Freud "The Interpretation of Dreams" (1901)20. Howard Gardner "Frames of Mind: The Theory of Multiple Intelligences" (1983)21. Daniel Gilbert "Stumbling on Happiness" (2006)22. Malcolm Gladwell "Blink: The Power of Thinking Without Thinking" (2005)23. Daniel Goleman "Emotional Intelligence at Work" (1998)24. John M Gottman "The Seven Principles for Making Marriage Work" (1999)25. Harry Harlow "The Nature of Love" (1958)26. Thomas A Harris "I'm OK - You're OK" (1967)27. Eric Hoffer "The True Believer: Thoughts on the Nature of Mass Movements" (1951)28. Karen Horney "Our Inner Conflicts" (1945)29. William James "Principles of Psychology" (1890)30. Carl Jung "The Archetypes and the Collective Unconscious" (1953)31. Alfred Kinsey "Sexual Behavior in the Human Female" (1953)32. Melanie Klein "Envy and Gratitude" (1975)33. RD Laing "The Divided Self" (1959)34. Abraham Maslow "The Farther Reaches of Human Nature" (1970)35. Stanley Milgram "Obedience To Authority" (1974)36. Anne Moir & David Jessel "Brainsex: The Real Difference Between Men and Women" (1989)37. IP Pavlov "Conditioned Reflexes" (1927)38. Fritz Perls "Gestalt Therapy: Excitement and Growth in the Human Personality" (1951)39. Jean Piaget "The Language and Thought of the Child" (1966)40. Steven Pinker "The Blank Slate: The Modern Denial of Human Nature" (2002)41. VS Ramachandran "Phantoms in the Brain" (1998)42. Carl Rogers "On Becoming a Person" (1961)43. Oliver Sacks "The Man Who Mistook His Wife for a Hat" (1970)44. Barry Schwartz "The Paradox of Choice: Why More is Less" (2004)45. Martin Seligman "Authentic Happiness" (2002)46. Gail Sheehy "Passages: Predictable Crises of Adult Life" (1974)47. BF Skinner "Beyond Freedom & Dignity" (1953)48. Douglas Stone, Bruce Patton & Sheila Heen "Difficult Conversations" (2000)49. William Styron "Darkness Visible" (1990)50. Robert E Thayer "The Origin of Everyday Moods" (1996)

    We’re told that learning is all self-discipline, that we must confine ourselves to designated study areas, turn off the music, and maintain a strict ritual if we want to ace that test, memorize that presentation, or nail that piano recital.   But what if almost everything we were told about learning is wrong? And what if there was a way to achieve more with less effort?   In How We Learn, award-winning science reporter Benedict Carey sifts through decades of education research and landmark studies to uncover the truth about how our brains absorb and retain information. What he discovers is that, from the moment we are born, we are all learning quickly, efficiently, and automatically; but in our zeal to systematize the process we have ignored valuable, naturally enjoyable learning tools like forgetting, sleeping, and daydreaming. Is a dedicated desk in a quiet room really the best way to study? Can altering your routine improve your recall? Are there times when distraction is good? Is repetition necessary? Carey’s search for answers to these questions yields a wealth of strategies that make learning more a part of our everyday lives—and less of a chore.   By road testing many of the counterintuitive techniques described in this book, Carey shows how we can flex the neural muscles that make deep learning possible. Along the way he reveals why teachers should give final exams on the first day of class, why it’s wise to interleave subjects and concepts when learning any new skill, and when it’s smarter to stay up late prepping for that presentation than to rise early for one last cram session. And if this requires some suspension of disbelief, that’s because the research defies what we’ve been told, throughout our lives, about how best to learn.   The brain is not like a muscle, at least not in any straightforward sense. It is something else altogether, sensitive to mood, to timing, to circadian rhythms, as well as to location and environment. It doesn’t take orders well, to put it mildly. If the brain is a learning machine, then it is an eccentric one. In How We Learn, Benedict Carey shows us how to exploit its quirks to our advantage.  Praise for How We Learn“This book is a revelation. I feel as if I’ve owned a brain for fifty-four years and only now discovered the operating manual.”—Mary Roach, bestselling author of Stiff and Gulp“A welcome rejoinder to the faddish notion that learning is all about the hours put in.” —The New York Times Book Review   “A valuable, entertaining tool for educators, students and parents.” —Shelf Awareness   “How We Learn is more than a new approach to learning; it is a guide to making the most out of life. Who wouldn’t be interested in that?” —Scientific American   “I know of no other source that pulls together so much of what we know about the science of memory and couples it with practical, practicable advice.”—Daniel T. Willingham, professor of psychology at the University of Virginia

    Never again will you think about thinking the same way.Malcolm Gladwell redefined how we understand the world around us. Now, in Blink, he revolutionizes the way we understand the world within. Blink is a book about how we think without thinking, about choices that seem to be made in an instant - in the blink of an eye - that actually aren't as simple as they seem. Why are some people brilliant decision makers, while others are consistently inept? Why do some people follow their instincts and win, while others end up stumbling into error? How do our brains really work - in the office, in the classroom, in the kitchen, and in the bedroom? And why are the best decisions often those that are impossible to explain to others? In Blink we meet the psychologist who has learned to predict whether a marriage will last, based on a few minutes of observing a couple; the tennis coach who knows when a player will double-fault before the racket even makes contact with the ball; the antiquities experts who recognize a fake at a glance. Here, too, are great failures of "blink": the election of Warren Harding; "New Coke"; and the shooting of Amadou Diallo by police. Blink reveals that great decision makers aren't those who process the most information or spend the most time deliberating, but those who have perfected the art of "thin-slicing" - filtering the very few factors that matter from an overwhelming number of variables.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

    The thirty-five chapters describe the life of a Roman family in the 2nd century A.D., and culminate in readings from classical poets and Donatus's Ars Grammatica, the standard Latin school text for a millenium. Each chapter is divided into two or three lectiones (lessons) of a couple pages each followed by a grammar section, Grammatica Latina, and three exercises or Pensa. Hans Ørberg's impeccable latinity, humorous stories, and the Peer Lauritzen illustrations make this work a classic. The book includes a table of inflections, a Roman calendar, and a word index, Index vocabulorum.

    The blades start moving in 60 seconds. What do you do? If you want to work at Google, or any of America's best companies, you need to have an answer to this and other puzzling questions. Are You Smart Enough to Work at Google? guides readers through the surprising solutions to dozens of the most challenging interview questions. The book covers the importance of creative thinking, ways to get a leg up on the competition, what your Facebook page says about you, and much more. Are You Smart Enough to Work at Google? is a must-read for anyone who wants to succeed in today's job market.

    Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.

    A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.In The Advent of the Algorithm, David Berlinski combines science, history, and math to explain and explore the intriguing story of how the algorithm was finally discovered by a succession of mathematicians and logicians, and how this paved the way for the digital age. Beginning with Leibniz and culminating in the middle of the twentieth century with the groundbreaking work of Gödel and Turing, The Advent of the Algorithm is an epic tale told with clarity and imaginative brilliance.